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Auteur Mohammad Shakil |
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An Introduction to Order Statistics / Mohammad Ahsanullah / Amsterdam ; Pékin ; Paris : Atlantis Press (2013)
Titre : An Introduction to Order Statistics Type de document : document électronique Auteurs : Mohammad Ahsanullah ; SpringerLink (Online service) ; Valery B. Nevzorov ; Mohammad Shakil Editeur : Amsterdam ; Pékin ; Paris : Atlantis Press Année de publication : 2013 Collection : Atlantis Studies in Probability and Statistics, ISSN 1879-6893 num. 3 Importance : X, 244 p Présentation : online resource ISBN/ISSN/EAN : 978-94-91216-83-1 Langues : Anglais (eng) Descripteurs : Biostatistique La biostatistique (appelée aussi biométrie) est l'application des statistiques à un large éventail de sujets en biologie. Cela englobe la conception des expériences biologiques (dans la médecine et l'agriculture), la collecte des informations, la compilation et analyse des données chiffrées de ces expériences, l'interprétation des résultats en vue d'avancer une conclusion., ÉchantillonnageTags : Statistics Statistical methods Mathematical statistics Economics Econometrics Statistical Theory and Methods Statistics for Business Mathematical Finance Insurance Statistics for Engineering Physics Computer Science Chemistry and Earth Sciences Biostatistics Résumé : This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more Note de contenu : Basic definitions -- Distributions of order statistics -- Sample quantiles and ranges -- Representations for order statistics -- Conditional distributions of order statistics.-Order statistics for discrete distributions -- Moments of order statistics: general relations -- Moments of uniform and exponential order statistics -- Moment relations for order statistics: normal distribution -- Asymptotic behavior of the middle and intermediate order statistics -- Asymptotic behavior of the extreme order statistics -- Some properties of estimators based on order statistics -- Minimum variance linear unbiased estimators -- Minimum variance linear unbiased estimators and predictors based on censored samples -- Estimation of parameters based on fixed number of sample quantiles -- Order statistics from extended samples -- Order statistics and record values -- Characterizations of distributions based on properties of order statistics -- Order statistics and record values based on F? distributions -- Generalized order statistics -- Compliments and problems Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=108437 An Introduction to Order Statistics [document électronique] / Mohammad Ahsanullah ; SpringerLink (Online service) ; Valery B. Nevzorov ; Mohammad Shakil . - Amsterdam ; Pékin ; Paris : Atlantis Press, 2013 . - X, 244 p : online resource. - (Atlantis Studies in Probability and Statistics, ISSN 1879-6893; 3) .
ISBN : 978-94-91216-83-1
Langues : Anglais (eng)
Descripteurs : Biostatistique La biostatistique (appelée aussi biométrie) est l'application des statistiques à un large éventail de sujets en biologie. Cela englobe la conception des expériences biologiques (dans la médecine et l'agriculture), la collecte des informations, la compilation et analyse des données chiffrées de ces expériences, l'interprétation des résultats en vue d'avancer une conclusion., ÉchantillonnageTags : Statistics Statistical methods Mathematical statistics Economics Econometrics Statistical Theory and Methods Statistics for Business Mathematical Finance Insurance Statistics for Engineering Physics Computer Science Chemistry and Earth Sciences Biostatistics Résumé : This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more Note de contenu : Basic definitions -- Distributions of order statistics -- Sample quantiles and ranges -- Representations for order statistics -- Conditional distributions of order statistics.-Order statistics for discrete distributions -- Moments of order statistics: general relations -- Moments of uniform and exponential order statistics -- Moment relations for order statistics: normal distribution -- Asymptotic behavior of the middle and intermediate order statistics -- Asymptotic behavior of the extreme order statistics -- Some properties of estimators based on order statistics -- Minimum variance linear unbiased estimators -- Minimum variance linear unbiased estimators and predictors based on censored samples -- Estimation of parameters based on fixed number of sample quantiles -- Order statistics from extended samples -- Order statistics and record values -- Characterizations of distributions based on properties of order statistics -- Order statistics and record values based on F? distributions -- Generalized order statistics -- Compliments and problems Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=108437 Normal and Student´s t Distributions and Their Applications / Mohammad Ahsanullah / Amsterdam ; Pékin ; Paris : Atlantis Press (2014)
Titre : Normal and Student´s t Distributions and Their Applications Type de document : document électronique Auteurs : Mohammad Ahsanullah ; B. M. Golam Kibria ; SpringerLink (Online service) ; Mohammad Shakil Editeur : Amsterdam ; Pékin ; Paris : Atlantis Press Année de publication : 2014 Collection : Atlantis Studies in Probability and Statistics, ISSN 1879-6893 num. 4 Importance : XII, 157 p. 36 illus., 27 illus. in color Présentation : online resource ISBN/ISSN/EAN : 978-94-6239-061-4 Langues : Anglais (eng) Tags : Statistics Computer science Mathematics Economics Social sciences Management Science Social Sciences Computer Science Education Résumé : The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering Note de contenu : Introduction -- Normal Distributions -- Student?s Distributions -- Sum, Product & Ratio for the Normal Random Variables -- Sum, Product & Ratio for the Student?s Random Variables -- Sum, Product & Ratio for the Normal and Student?s Random Variables -- Product of the Normal and Student?s Densities -- Characterizations of Normal Distributions -- Characterizations of Student?s Distributions -- Concluding Remarks Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=110144 Normal and Student´s t Distributions and Their Applications [document électronique] / Mohammad Ahsanullah ; B. M. Golam Kibria ; SpringerLink (Online service) ; Mohammad Shakil . - Amsterdam ; Pékin ; Paris : Atlantis Press, 2014 . - XII, 157 p. 36 illus., 27 illus. in color : online resource. - (Atlantis Studies in Probability and Statistics, ISSN 1879-6893; 4) .
ISBN : 978-94-6239-061-4
Langues : Anglais (eng)
Tags : Statistics Computer science Mathematics Economics Social sciences Management Science Social Sciences Computer Science Education Résumé : The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering Note de contenu : Introduction -- Normal Distributions -- Student?s Distributions -- Sum, Product & Ratio for the Normal Random Variables -- Sum, Product & Ratio for the Student?s Random Variables -- Sum, Product & Ratio for the Normal and Student?s Random Variables -- Product of the Normal and Student?s Densities -- Characterizations of Normal Distributions -- Characterizations of Student?s Distributions -- Concluding Remarks Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=110144