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LEADER 00000cam  2200769Ii 4500 
001    314183522 
003    OCoLC 
005    20200228045337.2 
006    m     o  d         
007    cr cn||||||||| 
008    090311s2009    gw      ob    001 0 eng d 
010    2008938080 
019    316006494|a434378915|a500979198|a613087206|a1087325848 
020    9783540856368 
020    3540856366 
020    |z3540856358|q(Cloth) 
020    9783540856351 
020    3540856358 
035    (OCoLC)314183522|z(OCoLC)316006494|z(OCoLC)434378915
       |z(OCoLC)500979198|z(OCoLC)613087206|z(OCoLC)1087325848 
037    978-3-540-85635-1|bSpringer|nhttp://www.springerlink.com 
040    GW5XE|beng|epn|erda|cGW5XE|dOCLCQ|dTPH|dOCLCQ|dN$T|dIDEBK
       |dCDX|dUAB|dEBLCP|dOCLCQ|dYDXCP|dOCLCF|dOCLCO|dDEBSZ
       |dOCLCQ|dZ5A|dOCLCQ|dOCLCO|dUKBTH|dWURST|dOCLCQ|dW2U
       |dOCLCQ 
049    MAIN 
050  4 QA273.15|b.P46 2009eb 
060  4 Online Book 
072  7 MAT|x029000|2bisacsh 
082 04 519.2|222 
100 1  De la Peña, Víctor.|0http://id.loc.gov/authorities/names/
       n98063076 
245 10 Self-normalized processes :|blimit theory and statistical 
       applications /|cVictor H. de la Pena, Tze Leung Lai, Qi-
       Man Shao. 
264  1 Berlin :|bSpringer-Verlag,|c2009. 
300    1 online resource. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc|0http://rdaregistry.info/termList/
       RDAColourContent/1003 
347    text file|2rdaft|0http://rdaregistry.info/termList/
       fileType/1002 
490 1  Probability and its applications. 
504    Includes bibliographical references and index. 
505 0  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 -- Cramer-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. 
520    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. 
588 0  Print version record. 
650  0 Probabilities.|0http://id.loc.gov/authorities/subjects/
       sh85107090 
650  0 Probability measures.|0http://id.loc.gov/authorities/
       subjects/sh92001869 
650 12 Probability.|0https://id.nlm.nih.gov/mesh/D011336 
653 00 statistische analyse. 
653 00 statistical analysis. 
653 00 stochastische processen. 
653 00 stochastic processes. 
653 00 wiskunde. 
653 00 mathematics. 
653 00 waarschijnlijkheidstheorie. 
653 00 probability theory. 
653 10 Mathematics (General) 
653 10 Wiskunde (algemeen) 
700 1  Lai, T. L.|0http://id.loc.gov/authorities/names/n84198751 
700 1  Shao, Qi-Man.|0http://id.loc.gov/authorities/names/
       n99830605 
776 08 |iPrint version:|aDe la Pena, Victor.|tSelf-normalized 
       processes.|dBerlin : Springer, 2009|z9783540856351
       |z3540856358|w(DLC)  2008938080|w(OCoLC)244765605. 
830  0 Probability and its applications (Springer-Verlag)|0http:/
       /id.loc.gov/authorities/names/n2004014616 
990    SpringerLink|bSpringer English/International eBooks 2009 -
       Full Set|c2020-02-28|yMaster record variable field(s) 
       change: 505|5OH1 
990    SpringerLink|bSpringer English/International eBooks 2009 -
       Full Set|c2019-08-30|yMaster record variable field(s) 
       change: 505|5OH1 
990    SpringerLink|bSpringer English/International eBooks 2009 -
       Full Set|c2018-10-31|yNew collection 
       springerlink.ebooks2009|5OH1 
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