By Peter J. Bickel,Kjell A. Doksum

Mathematical records: easy rules and chosen subject matters, quantity II offers vital statistical ideas, tools, and instruments no longer lined within the authors’ prior quantity. This moment quantity specializes in inference in non- and semiparametric types. It not just reexamines the methods brought within the first quantity from a extra refined viewpoint but in addition addresses new difficulties originating from the research of estimation of services and different advanced selection tactics and large-scale information analysis.

The ebook 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 in accordance with Lehmann–Scheffé conception. It develops the idea of semiparametric greatest chance estimation with functions to parts akin to survival research. It additionally discusses tools of inference in accordance with sieve types and asymptotic trying out conception. 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 issues. the required history fabric is integrated in an appendix.

Using the instruments and techniques constructed during this textbook, scholars can be prepared for complicated study in sleek records. a number of examples illustrate statistical modeling and inference strategies whereas end-of-chapter difficulties strengthen undemanding innovations and introduce vital new subject matters. As in quantity I, degree thought isn't required for understanding.

Check out quantity I for basic, classical statistical thoughts resulting in the fabric during this volume.

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Mathematical Statistics: Basic Ideas and Selected Topics, Volume II: Volume 1 (Chapman & Hall/CRC Texts in Statistical Science) by Peter J. Bickel,Kjell A. Doksum

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