Self-normalized processes : limit theory and statistical applications

Self-normalized processes are of common occurrence in probabilistic and statistical studies. A prototypical example is Student's t-statistic introduced in 1908 by Gosset, whose portrait is on the front cover. Due to the highly non-linear nature of these processes, the theory experienced a long...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: De la Peña, Victor H., 1959-, Lai, Tze Leung, 19..- (مؤلف), Shao, Qi-Man, 1962-...., mathématicien (مؤلف)
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
الطبعة:1st ed. 2009.
سلاسل:Probability and Its Applications
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
ملاحظة: Description d'après consultation du 30 mars 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Self-normalized processes, limit theory and statistical applications, Victor H. de la Peña, Tze Leung Lai, Qi-Man Shao, 2009, Berlin, Springer, 1 vol. (XIII-275 p.), Probability and its applications, 978-3-540-85635-1
• Self-Normalized Processes, Texte imprimé, 9783642099267
• Self-Normalized Processes, Texte imprimé, 9783540856764
• Self-normalized processes, limit theory and statistical applications, Victor H. de la Peña, Tze Leung Lai, Qi-Man Shao, 2009, Berlin, Springer, 1 vol. (XIII-275 p.), Probability and its applications, 978-3-540-85635-1
• Self-Normalized Processes, Texte imprimé, 9783642099267
• Self-Normalized Processes, Texte imprimé, 9783540856764
• Self-normalized processes, limit theory and statistical applications, Victor H. de la Peña, Tze Leung Lai, Qi-Man Shao, 2009, Berlin, Springer, 1 vol. (XIII-275 p.), Probability and its applications, 978-3-540-85635-1
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100 1 |a De la Peña, Victor H.,  |d 1959- 
245 1 0 |a Self-normalized processes :  |b limit theory and statistical applications   |c by Victor H. Peña, Tze Leung Lai, Qi-Man Shao. 
250 |a 1st ed. 2009. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Probability and Its Applications 
500 |a Description d'après consultation du 30 mars 2012 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a Independent Random Variables Classical Limit Theorems, Inequalities and Other Tools Self-Normalized Large Deviations Weak Convergence of Self-Normalized Sums Stein's Method and Self-Normalized Berry Esseen Inequality Self-Normalized Moderate Deviations and Laws of the Iterated Logarithm Cramér-Type Moderate Deviations for Self-Normalized Sums Self-Normalized Empirical Processes and U-Statistics Martingales and Dependent Random Vectors Martingale Inequalities and Related Tools A General Framework for Self-Normalization Pseudo-Maximization via Method of Mixtures Moment and Exponential Inequalities for Self-Normalized Processes Laws of the Iterated Logarithm for Self-Normalized Processes Multivariate Self-Normalized Processes with Matrix Normalization Statistical Applications The t-Statistic and Studentized Statistics Self-Normalization for Approximate Pivots in Bootstrapping Pseudo-Maximization in Likelihood and Bayesian Inference Sequential Analysis and Boundary Crossing Probabilities for Self-Normalized Statistics 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Self-normalized processes are of common occurrence in probabilistic and statistical studies. A prototypical example is Student's t-statistic introduced in 1908 by Gosset, whose portrait is on the front cover. Due to the highly non-linear nature of these processes, the theory experienced a long period of slow development. In recent years there have been a number of important advances in the theory and applications of self-normalized processes. Some of these developments are closely linked to the study of central limit theorems, which imply that self-normalized processes are approximate pivots for statistical inference. The present volume covers recent developments in the area, including self-normalized large and moderate deviations, and laws of the iterated logarithms for self-normalized martingales. This is the first book that systematically treats the theory and applications of self-normalization 
700 1 |a Lai, Tze Leung,  |d 19..-  |4 aut 
700 1 |a Shao, Qi-Man,  |d 1962-....,  |c mathématicien.  |4 aut 
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