random variables – -Translation – Keybot Dictionary

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Show textShow cached sourceOpen source URL	Random variables (such as polynomials, matrices, plots...)
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Show textShow cached sourceOpen source URL	Sinai, O raspredelenii pervoi polozhitel’noi summy dlya posledovatel’nosti nezavisimykh sluchainykh velichin, Teor. veroyatn. i ee prim. , 2(1), 126-135 (1957) [Ya.G. Sinai, On the Distribution of the First Positive Sum for a Sequence of Independent Random Variables, Theory Probab. Appl. 2(1), 122-129 (1957)].
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine itp.ac.ru as primary domain	Я.Г. Синай, О распределении первой положительной суммы для последовательности независимых случайных величин, Теор. вероятн. и ее прим., 2(1), 126-135 (1957) [Ya.G. Sinai, On the Distribution of the First Positive Sum for a Sequence of Independent Random Variables, Theory Probab. Appl. 2(1), 122-129 (1957)].

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Show textShow cached sourceOpen source URL	for the new route through the Alps identified by Bertschi «without environmental random variables».
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine alptransit-portal.ch as primary domain	L’Ascona Jazz Award 2016 est remis au fameux chanteur et pianiste Davell Crawford, héritier de la grande tradition pianistique de la Nouvelle-Orléans.

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Sample spaces and events, conditional probability and independence. Discrete and continuous random variables, their probability distributions, expected value and distribution parameters. Discrete probability distribution functions (Binomial, geometric, negative binomial, Poisson distributions).

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Örnek uzaylar ve olaylar, koşullu olasılık ve bağımsızlık. Kesikli ve sürekli rassal değişkenler, olasılık dağılımları, beklenen değer ve dağılım parametreleri. Kesikli olasılık dağılım fonksiyonları ( Binom, geometrik, negatif binom, Poisson dağılımları) . Sürekli olasılık dağılımları (düzgün, normal, üstel ve gamma dağılımları ) . Tesadüfi örnekleme, örnekleme dağılımları, merkezi limit teoremi, güven aralıkları .

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Show textShow cached sourceOpen source URL	S. Speranskiĭ (Novosibirsk): Quantifying over Bernoulli random variables in probability logic
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine math.nsc.ru as primary domain	С. О. Сперанский (Новосибирск): Quantifying over Bernoulli random variables in probability logic

  2 Hits www.tutondo.com  

Show textShow cached sourceOpen source URL	Random Variables,
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine ifn.ing.tu-bs.de as primary domain	Zufallsvariablen,

  science.uottawa.ca  

Show textShow cached sourceOpen source URL	Infinite Variance Random Variables
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Show textShow cached sourceOpen source URL	The Lebanese sound artist, Tarek Atoui, visits Kunsthal Aarhus on February 28 for the ending of his project 'Discrete Random Variables'; his contribution to the exhibition 'Systemics #1 Certain peculiar things and ideas, often failed (or, on humans, machines and running algorithms)'.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine kunsthalaarhus.dk as primary domain	Den libanesiske lydkunstner, Tarek Atoui, besøger Kunsthal Aarhus d. 28 februar 2013 i forbindelse med afrundingen af hans projekt 'Discrete Random Variables'; hans bidrag til udstillingen 'Systemics #1: Certain peculiar things and ideas, often failed (or, on humans, machines and running algorithms)'.

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Some examples of vibration energy computing in beams structure using Finite Element Method (FEM) and Statistical Energy Analysis (SEA) are presented. Calculations are carried out for periodic structure, that consists of equal beams and of beams whose lengths are random variables with equal mean value and some deviation.

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Представлены примеры расчета вибрационной энергии балочной конструкции двумя методами: методом конечных элементов (МКЭ) и статистическим энергетическим методом (ЭМ). Расчеты выполнены для периодической конструкции, состоящей как из балок одинаковой длины, так и из балок, длины которых генерируются случайным образом в предположении, что они подчиняются нормальному закону распределения с заданными одинаковым средним значением и некоторой дисперсией. Тем самым моделируется реальная ситуация, когда размеры элементов конструкции неизвестны точно, а задаются в виде средней величины и погрешности. Показано, что энергии балок в конструкции из одинаковых элементов, рассчитанные МКЭ, существенно отличаются от энергий усредненных по результатам расчетов для конструкций из балок, длина которых является случайной величиной с одинаковым средним значением. Т. е. расчет МКЭ, использующий в качестве исходных данных только средние значения характеристик конструкции, может давать некорректные результаты для реальных периодических конструкций. Усредненные результаты расчета МКЭ и ЭМ отличаются незначительно. Сделан вывод о перспективности использования в инженерных расчетах ЭМ, который в сравнении с МКЭ является намного более экономичным.

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Abstract: “The objective of this paper is to present an R package, SCGLR, implementing a new PLS regression approach in the multivariate generalized linear framework. The method allows the joint modeling of random variables from different exponential family distributions, searching for common PLS-type components. We discuss several of the functions in the package focusing in particular on the two main ones: scglr and scglrCrossVal. The former constructs the components and performs the parameter estimation, while the latter selects the approriate number of components by cross-validation. The package is illustrated on an appropriate ecological dataset through which we aim at predicting the abundance of multiple tree genera given a large number of geo-referenced environmental variables.”

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Résumé : “The objective of this paper is to present an R package, SCGLR, implementing a new PLS regression approach in the multivariate generalized linear framework. The method allows the joint modeling of random variables from different exponential family distributions, searching for common PLS-type components. We discuss several of the functions in the package focusing in particular on the two main ones: scglr and scglrCrossVal. The former constructs the components and performs the parameter estimation, while the latter selects the approriate number of components by cross-validation. The package is illustrated on an appropriate ecological dataset through which we aim at predicting the abundance of multiple tree genera given a large number of geo-referenced environmental variables.”

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Since microsimulation produces not expected values but instead random variables distributed around the expected values, it is subject to another type of randomness: Monte Carlo variability. Every simulation experiment will produce different aggregate results.

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Puisque la microsimulation produit non pas des valeurs prévues, mais plutôt des variable aléatoires distribuées autour des valeurs prévues, elle présente une autre forme de caractère aléatoire : la variabilité Monte Carlo, due au fait que chaque expérience de simulation produit des résultats agrégés différents. Bien que cela était fastidieux à l'époque où la puissance informatique était limitée, l'exécution d'un grand nombre d'expériences répétées et (ou) la simulation d'une grande population peut éliminer ce genre de caractère aléatoire et produire des renseignements précieux sur la distribution des résultats, en plus des estimations ponctuelles.

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Show textShow cached sourceOpen source URL	Jakšić, V., Pautrat, Y., Pillet, C. -A. , « A quantum central limit theorem for sums of independent identically distributed random variables », Journal of Mathematical Physics, 51:1 (January 2010), 015208, 8 p.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine crm.umontreal.ca as primary domain	Jakšić, V., Pautrat, Y., Pillet, C.-A., « A quantum central limit theorem for sums of independent identically distributed random variables », Journal of Mathematical Physics, 51:1 (janvier 2010), 015208, 8 p.

  leidykla.vgtu.lt  

Show textShow cached sourceOpen source URL	Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine leidykla.vgtu.lt as primary domain	Atsitiktinio skaičiaus nepriklausomų dėmenų sumos didžiųjų nuokrypių teoremos

  www.aquatechnik.it  

Show textShow cached sourceOpen source URL	Random Variables
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Show textShow cached sourceOpen source URL	Bernoulli trials and binomial random variables
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The first cornerstone is the study of new quantitative convergence structures in measure theoretic context, in particular on spaces of random variables and probability measures. We will mainly be concerned with structures strongly related to the p-Wasserstein distance, a topic popular for both applications and theoretical aspects.

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Een eerste pijler is de theoretische studie van enkele kwantitatieve convergentiestructuren in maattheoretische context, in het bijzonder op ruimten van kansvariabelen en kansmaten. We bestuderen in de eerste plaats nieuwe structuren die meer inzicht verschaffen in de p-Wassersteinmetriek, die momenteel zowel wat betreft haar toepassingen als haar structurele aspecten actief onderzocht wordt. Een tweede pijler is het toetsen van de theoretische kennis aan verscheidene toepassingen in de stochastische analyse (convergentie van Fellerprocessen, martingalen en oplossingen van stochastische differ-entiaalvergelijkingen) en de statistiek (convergentie van reguliere schatters in parametrische en niet-parametrische modellen).

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Students will be able to use these statistical techniques to improve data analysis when they are determining descriptive indexes, confidence intervals, performing hypothesis tests to parameters of random variables, or applying regression models.

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2 Esta unidade curricular tem, também, como objetivo percorrer a aplicação de técnicas estatísticas simples a problemas na área de Economia. Os alunos ficarão aptos a utilizar estas técnicas estatísticas para melhor analisarem séries de dados, quer através dos cálculos de índices meramente descritivos, quer através da construção de intervalos de confiança, realização de testes de hipóteses a parâmetros de variáveis aleatórias e aplicação de modelos de regressão.

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A copula specifies the dependency structure among the individual random variables, and is used to join the marginal distributions – the distributions of each individual random factor – together; the copula acts as the "glue" between the marginal distributions.

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: L’approche de la copule permet au praticien de préciser les dépendances dans les domaines des distribuions des sinistres qui sont cruciaux pour le niveau de risque. Les copules permettent un contrôle direct sur les hypothèses de distribution et de dépendance utilisées. Contrairement à l’approche de la variance-covariance, les méthodes axées sur les copules utilisent la totalité des distributions des sinistres comme intrants du processus d’agrégation (contrairement aux mesures simples de statistique ou de risque). Un autre avantage réside dans le fait que les copules sont habituellement faciles à mettre en œuvre du point de vue des calculs.

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Phylogeny-based modeling of heterogeneity across the positions of multiple-sequence-alignments has generally been approached from two main perspectives. The first treats site-specificities as random variables drawn from a statistical law, and the likelihood function takes the form of an integral over this law.

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Fondée sur la phylogénie, la modélisation de l’hétérogénéité entre les positions d’alignement de séquences multiples est habituellement abordée selon deux perspectives principales. La première considère les spécificités de site comme des variables aléatoires issues d’une loi statistique, et la fonction de vraisemblance prend la forme d’une intégrale par rapport à cette loi. La deuxième perspective attribue une variable distincte à chaque position, et, dans le cadre du maximum de vraisemblance, ajuste ces variables, ainsi que les paramètres globaux, de manière à optimiser une fonction de vraisemblance conjointe. Rappelons que si la première approche bénéficie des garanties statistiques de la théorie classique de la vraisemblance, la deuxième ne requiert aucune précaution particulière si les variables propres aux sites sont des variables en grande dimension. En utilisant un cadre de sélection de mutations fondé sur la phylogénie, nous montrons que la différence dans l’interprétation des variables propres aux sites permet d’expliquer les disparités des études récentes concernant la distribution des coefficients de sélection.

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Phylogeny-based modeling of heterogeneity across the positions of multiple-sequence-alignments has generally been approached from two main perspectives. The first treats site-specificities as random variables drawn from a statistical law, and the likelihood function takes the form of an integral over this law.

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Fondée sur la phylogénie, la modélisation de l’hétérogénéité entre les positions d’alignement de séquences multiples est habituellement abordée selon deux perspectives principales. La première considère les spécificités de site comme des variables aléatoires issues d’une loi statistique, et la fonction de vraisemblance prend la forme d’une intégrale par rapport à cette loi. La deuxième perspective attribue une variable distincte à chaque position, et, dans le cadre du maximum de vraisemblance, ajuste ces variables, ainsi que les paramètres globaux, de manière à optimiser une fonction de vraisemblance conjointe. Rappelons que si la première approche bénéficie des garanties statistiques de la théorie classique de la vraisemblance, la deuxième ne requiert aucune précaution particulière si les variables propres aux sites sont des variables en grande dimension. En utilisant un cadre de sélection de mutations fondé sur la phylogénie, nous montrons que la différence dans l’interprétation des variables propres aux sites permet d’expliquer les disparités des études récentes concernant la distribution des coefficients de sélection.

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Show textShow cached sourceOpen source URL	Topics of this course include the axioms of probability, Bayes' theorem, random variables and sums of random variables, law of large numbers, the central limit theorem and its applications.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine gbe.ieu.edu.tr as primary domain	Bu dersin konuları arasında olasılık belitleri, Bayes’ teoremi, rassal değişkenler, rassal değişkenlerin toplamı, büyük sayılar kuralı, merkezi limit teoremi ve uygulamaları bulunmaktadır.

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Show textShow cached sourceOpen source URL	6.5.- Discrete random variables.
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Show textShow cached sourceOpen source URL	If X1 , …, Xn are independent random variables having a normal distribution N(0,1), then X12 +…+ Xn2 has a X2 distribution with n degrees of freedom.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine jobs-emplois.gc.ca as primary domain	Si X1,…, Xn sont des variables aléatoires indépendantes distribuées selon la loi normale N(0,1), alors X12+…+ Xn2 est distribué selon une loi du X2 avec n degrés de liberté.

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Show textShow cached sourceOpen source URL	Random variables and principal models probabilísticos discreet
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Analysis on Gaussian spaces (Malliavin calculus) with applications to ordinary differential equations and PDEs. Inequalities for random variables and densities, entropic inequalities, indetermination principles, Cramér-Rao limits.

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Analisi su spazi Gaussiani (calcolo di Malliavin) con applicazioni a equazioni differenziali ordinarie e alle derivate parziali. Disuguaglianze per variabili aleatorie e densità, disuguaglianze entropiche, principi di indeterminazione, limiti di Cramér-Rao. Convergenza di problemi variazionali aleatori, legge dei grandi numeri per misure empiriche e sistemi di particelle interagenti. Applicazioni del trasporto ottimo classico e con vincoli di martingala in probabilità e finanza matematica.

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Show textShow cached sourceOpen source URL	​T. Y. Al-Naffouri; M. Moinuddin; N. Ajeeb; B. Hassibi; and A. L. Moustakas, “On the Distribution of Indefinite Quadratic Forms in Gaussian Random Variables,” IEEE Transactions on Communications, vol.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine kaust.edu.sa as primary domain	T. Y. Al-Naffouri, A. A. Quadeer, and G. Caire, "Impulse Noise Estimation and Removal for OFDM Systems," IEEE Transactions on Communications, vol. 62, no. 3, Mar. 2014.

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We analyse the data by developing a hierarchical model. We consider the numbers of fish at each age from an individual boat to have a multinomial distribution, the parameters of which are themselves random variables.

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In order to set quotas for the catch of commercial fish species such as cod, complex population dynamics models have been developed. An essential input to these models is the age distribution of the fish caught every year. This is estimated from fish sampled from boats as they land their catch. The major problem with this data is that although the number of fish sampled is large, there is a very large within-boat correlation, and the number of boats sampled is relatively small. Also the age distribution changes in space and time, and with the type of gear used by the boats.

  cormas.cirad.fr  

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Each of the 150 scenarios was simulated over 100 time periods, approximately corresponding to two farming seasons, taking a model time period to be a week in reality (numerous marketplaces operate on a weekly basis). A thousand simulations were carried out for each scenario, in order to neutralize the effect of the random variables introduced into the model.

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Les simulations ont porté sur 150 scénarios différents (50 environnements et 3 institutions de marchés). Chacun de ces 150 scénarios a donné lieu à des simulations sur 100 pas de temps, ce qui correspond approximativement à deux campagnes agricoles si on suppose qu'un pas de temps du modèle représente une semaine dans la réalité. 1000 simulations ont été réalisées pour chaque scénario afin de neutraliser l'effet des variables aléatoires introduites dans le modèle.

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Show textShow cached sourceOpen source URL	Discrete and continuous random variables and processes, functions of random variables, independence of random variables. Central Limit Theorem. Discrete-time random processes, continuous-time random processes, stationary random processes, ergodicity, auto and cross correlation functions, power spectral density; spectral estimation, white noise processes, Markov chains.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine mava.ku.edu.tr as primary domain	Elektrik ve Elektronik Mühendisliği alanında edinilen bilgilerin endüstri uygulaması olan bir proje çerçevesinde hayata geçirilmesi. Proje çalışması bir öğretim üyesi danışmanlığında olmak koşulu ile bireysel olarak yapılabileceği gibi grup olarak da yapılabilir.

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Show textShow cached sourceOpen source URL	Descriptive data analysis, probability models, random variables, mean, variance, co-variance, statistical models, parameter estimation, confidence intervals, regression, calibration, t-test, z-test, experimental design.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine natfak.sdu.dk as primary domain	Beskrivende dataanalyse, sandsynlighedsmodeller, stokastiske variable, middelværdi, varians, kovarians, statistiske modeller, parameterestimation, konfidensinterval, regression, kalibrering, t-test, z-test, forsøgsplanlægning.

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In our research we are developing models and methods for the capacity sizing and allocation and the S/R design phases for various combinations of storage location policies and storage and retrieval strategies. The requirements for storage capacity of the SKUs are modeled as random variables, and the arrivals of storage and retrieval orders constitute stochastic processes.

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Gegenstand unserer Forschung sind Modelle und Methoden zur Unterstützung der Kapazitätsdimensionierung und -allokation sowie der Auslegung der Fördertechnik für unterschiedliche Kombinationen aus Lagerplatzvergabe- sowie Ein- und Auslagerstrategien. Dabei werden die Lagerplatzbedarfe als Zufallsvariablen und die Ankünfte von Ein- und Auslageraufträgen als stochastische Prozesse modelliert. Für die resultierenden stochastischen Optimierungs- und Analysemodelle entwickeln wir effiziente Verfahren der mathematischen Programmierung und der Kenngrößenanalyse stationärer Markov-Prozesse. In weiteren Untersuchungen interessieren wir uns für die Abhängigkeiten zwischen den einzelnen Teilproblemen der Lagerkonfiguration und Möglichkeiten, diese in einem rückgekoppelten Planungsansatz zu berücksichtigen.

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Joachim Hagenauer, an information theoretician from Munich, showed that mutual information can be used for phylogenetic classification, for example by comparing DNA sequences with each other. The mutual information refers to the strength of the statistical relationship between two random variables.

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Der Antrag bei der DFG wäre wohl nicht genehmigt worden, wäre nicht schon vorher der Beweis geführt worden, dass sich informationstheoretische Modelle auf die Molekularbiologie übertragen lassen. Der Münchener Informationstheoretiker Joachim Hagenauer zeigte, dass sich mit Hilfe der wechselseitigen Information phylogenetische Aussagen zu miteinander verglichener DNA treffen lassen. Die wechselseitige Information gibt die Stärke des statistischen Zusammenhangs zweier Zufallsgrößen an.

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Show textShow cached sourceOpen source URL	Basic concepts of probability and random variables which constitutes the basics of statistics. Discrete and continuous random variables and their distributions, expectation of discrete random variables.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine ie.cankaya.edu.tr as primary domain	İstatistiğin temellerini oluşturan olasılık ve rassal değişkenlerle ilgili temel kavramlar. Ayrık ve sürekli rassal değişkenler ve bunların dağılımları, rassal değişkenlerin beklenen değeri. Rassal örneklem, istatistikler ve bunların dağılımları, tahmin etme, hipotez testi, iki anakütle çıkarımları, varyans analizi, regresyon analizi.

  paluma.ruhr-uni-bochum.de  

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The department also conducts research on the grant "Approximation problems for distributions of sums of random variables and statistical applications for dependent observations" (headed by Academician Sh. K. Formanov).

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В настоящее время в кафедре ведутся исследования по направлениям: предельные теоремы, случайные процессы, характеризационные задачи теории распределений и статистика неполных выборок. Все эти направления объединены под общую тему: «Предельные теоремы для случайных процессов и статистические выводы». На кафедре ведутся также исследования по гранту «Аппроксимационные задачи для распределений сумм случайных величин и статистические приложения для зависимых наблюдений» (руководитель акад. Ш.К. Форманов). Кафедра имеет научные связи с Россией, Белгией, Нидерландами, Белоруссией, Пакистаном, Венгрией, Монголией, Китаем, Германией.

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Show textShow cached sourceOpen source URL	The role of Statistics in Engineerimg. Probability (rules, lows and theorems). Discrete and continuous random variables and probability distributions. Expactation. Random sampling and data description.
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine mead.upatras.gr as primary domain	Έννοια πιθανότητας, Νόμοι πιθανοτήτων, Τυχαίες μεταβλητές και οι κατανομές τους. Αριθμητικά χαρακτηριστικά τυχαίων μεταβλητών, Έννοια Στατιστικής, Στατιστικές συναρτήσεις, Κατανομές δειγμάτων, Εκτίμηση παραμέτρων, Έλεγχοι υποθέσεων.

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Show textShow cached sourceOpen source URL	Papoulis A (1991) Probability random variables and stochastic processes, 3rd edn. McGraw-Hill, Boston
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Show textShow cached sourceOpen source URL	Partial summations of stationary sequences of non-Gaussian random variables
Compare text pagesCompare HTM pagesOpen source URLOpen target URLDefine dtu.dk as primary domain	I fremtiden kan piloten holde flyet på vingerne ved at bevæge fingrene hen over...

  team.inria.fr  

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One problem of monocular EKF-SLAM is the need of gaussian random variables for the state. Camera measurements are in two dimensions. One dimension is lost with measurement and so must be considered as an uniform random variable.

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Une problématique de l'EKF-SLAM monoculaire est qu'il nécessite que les variables aléatoires estimées soient gaussiennes. Les mesures fournies par les caméras étant en deux dimensions, une dimension est perdue et est donc à considérer comme une variable aléatoire uniforme. Il est impossible d'introduire un nouveau plan avec une notation conventionnelle sans a priori puisqu'il n'est pas défini entièrement par une seule mesure caméra. Une solution permettant d'introduire immédiatement les plans en utilisant une représentation spéciale est proposée. Elle permet d'utiliser des plans sans aucune information préalable.

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Show textShow cached sourceOpen source URL	Define meaning of "stochastic process": A statistical process involving a number of random variables depending on a variable parameter (which is usually time).
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Show textShow cached sourceOpen source URL	Recent Developments in Ordered Random Variables.
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Normal vines are used to realize the dependence structure specified via (conditional) rank correlations on the continuous BBN. The latter approach is extended to include ordinal discrete random variables.

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Er zijn twee hoofdtypen van grafische modellen, gerichte en ongerichte. Wij concentreren ons op de gerichte grafische modellen die bekend staan als Bayesiaanse Belief Netwerken (BBNs).  Tot voor kort waren BBN modellen beperkt tot structuren met alleen discrete en/of Gaussische variabelen.  Onzekerheidsverdelingen mogen echter niet worden aangenomen zich aan enige parametrische vorm te conformeren.  Algoritmen die bedoeld zijn om multi-dimensionale verdelingen te analyseren en beschrijven zouden dus parametervrij moeten zijn. Dit proefschrift stelt een aantal algoritmen voor voor parametervrije BBNs. Hoofdstuk 1 bevat een overzicht van de klassieke BBN modellen en bespreekt hun nadelen. Hoofdstuk 2 vat de details van parametervrije BBNs samen met behulp van de copula-vine benadering en introduceert twee nieuwe methodes. De eerste is een hybride benadering die de kleinere assessment last van continue BBNs combineert met de snelle updating algoritmen van de discrete BBNs. Een nieuw simulatieprotocol wordt voorgesteld, gebaseerd op de normale copula. Hierbij worden normale vines gebruikt om de afhankelijkheidsstructuur, die wordt gespecificeerd door (voorwaardelijke) rangcorrelaties op de continue BBN, te realiseren. De laatstgenoemde aanpak wordt uitgebreid om ook ruimte te bieden aan ordinale discrete stochastische variabelen. Hoofdstuk 3 stelt een generalisatie voor van de populatie-versie van Spearman''s rangcorrelatie voor het geval van ordinale discrete stochastische variabelen. In Hoofdstuk 4 presenteren wij twee grote lopende projecten waarin gemengde parametervrije continue en discrete BBNs worden gebruikt voor de analyse. Hoofdstuk 5 gaat hoofdzakelijk over parametervrije BBNs vanuit een ander perspectief, namelijk als gereedschap voor het analyseren van ordinale multivariate data. Het grootste voordeel van deze methode is dat hij grote aantallen continue variabelen kan verwerken, zonder aannamen te hoeven doen over hun marginale verdelingen. De voorgesteld algoritme voor het leren van Bayesiaanse netwerken uit data is snel en eenvoudig. We illustreren deze methode aan de hand van een database over vervuilingsuitstoot en fijnstofconcentraties. In Hoofdstuk 6 worden de belangrijkste bevindingen van dit werk samengevat en geformuleerd.