By Peter J. Bickel,Kjell A. Doksum
Mathematical records: easy principles and chosen subject matters, quantity II offers very important statistical strategies, equipment, and instruments now not lined within the authors’ earlier quantity. This moment quantity makes a speciality of inference in non- and semiparametric versions. It not just reexamines the strategies brought within the first quantity from a extra subtle standpoint but additionally addresses new difficulties originating from the research of estimation of services and different complicated choice techniques and large-scale info analysis.
The booklet covers asymptotic potency in semiparametric types from the Le Cam and Fisherian issues of view in addition to a few finite pattern measurement optimality standards according to Lehmann–Scheffé idea. It develops the idea of semiparametric greatest probability estimation with functions to parts similar to survival research. It additionally discusses equipment of inference in line with sieve types and asymptotic checking out idea. the rest of the e-book is dedicated to version and variable choice, Monte Carlo equipment, nonparametric curve estimation, and prediction, type, and desktop studying subject matters. the required history fabric is integrated in an appendix.
Using the instruments and techniques constructed during this textbook, scholars may be prepared for complex examine in sleek records. a number of examples illustrate statistical modeling and inference ideas whereas end-of-chapter difficulties make stronger user-friendly recommendations and introduce very important new themes. As in quantity I, degree concept isn't required for understanding.
Check out quantity I for primary, classical statistical techniques resulting in the cloth during this volume.
Read or Download Mathematical Statistics: Basic Ideas and Selected Topics, Volume II: Volume 1 (Chapman & Hall/CRC Texts in Statistical Science) PDF
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