Asymptotics for associated random variables
The book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the...
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| Hlavní autor: | |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2012.
Cham : Springer Nature |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Asymptotics for Associated Random Variables, Texte imprimé, 9783642255311 • Asymptotics for Associated Random Variables, Texte imprimé, 9783642255335 • Asymptotics for associated random variables, by Paulo Eduardo Oliveira, 2012, Berlin, Heidelberg, Springer, 978-3-642-44127-1 |
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| 008 | 120309s2012 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN159085918 | ||
| 020 | |a 9783642255328 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.5 | ||
| 100 | 1 | |a Oliveira, Paulo Eduardo, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Asymptotics for associated random variables |c by Paulo Eduardo Oliveira. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Positive Dependence -- Inequalities -- Almost Sure Convergence -- Convergence in Distribution -- Convergence in Distribution Functional Results -- Appendices A General Iinequalities -- B General Results on Large -- C Miscellaneous -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book concerns the notion of association in probability and statistics. Association and some other positive dependence notions were introduced in 1966 and 1967 but received little attention from the probabilistic and statistics community. The interest in these dependence notions increased in the last 15 to 20 years, and many asymptotic results were proved and improved. Despite this increased interest, characterizations and results remained essentially scattered in the literature published in different journals. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results. It will present basic definitions and characterizations, followed by a collection of relevant inequalities. These are then applied to characterize almost sure and weak convergence of sequences of associated variables. It will also cover applications of positive dependence to the characterization of asymptotic results in nonparametric statistics. The book is directed towards researchers in probability and statistics, with particular emphasis on people interested in nonparametric methods. It will also be of interest to graduate students in those areas. The book could also be used as a reference on association in a course covering dependent variables and their asymptotics. As prerequisite, readers should have knowledge of basic probability on the reals and on metric spaces. Some acquaintance with the asymptotics of random functions, such us empirical processes and partial sums processes, is useful but not essential. | ||
| 650 | |a Statistique mathématique | ||
| 650 | |a Distribution (théorie des probabilités) | ||
| 776 | 0 | |t Asymptotics for Associated Random Variables |b Texte imprimé |z 9783642255311 | |
| 776 | 0 | |t Asymptotics for Associated Random Variables |b Texte imprimé |z 9783642255335 | |
| 776 | 0 | |0 241528623 |t Asymptotics for associated random variables |f by Paulo Eduardo Oliveira |d 2012 |c Berlin, Heidelberg |n Springer |z 978-3-642-44127-1 | |
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