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Publication Date:
January 2014
ISBN:
978-3-11-025028-2

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Höpfner, Reinhard

Asymptotic Statistics

With a View to Stochastic Processes

Series:De Gruyter Textbook

    Introduction for readers who start to work in statistics of stochastic processes Presentation of local asymptotics in statistics Presentation of stochastic process models Includes numerous examples and exercises Also attractive for probabilists

    Aims and Scope

    This textbook is devoted to the general asymptotic theory of statistical experiments. Local asymptotics for statistical models in the sense of local asymptotic (mixed) normality or local asymptotic quadraticity make up the core of the book. Numerous examples deal with classical independent and identically distributed models and with stochastic processes. The book can be read in different ways, according to possibly different mathematical preferences of the reader. One reader may focus on the statistical theory, and thus on the chapters about Gaussian shift models, mixed normal and quadratic models, and on local asymptotics where the limit model is a Gaussian shift or a mixed normal or a quadratic experiment (LAN, LAMN, LAQ). Another reader may prefer an introduction to stochastic process models where given statistical results apply, and thus concentrate on subsections or chapters on likelihood ratio processes and some diffusion type models where LAN, LAMN or LAQ occurs. Finally, readers might put together both aspects. The book is suitable for graduate students starting to work in statistics of stochastic processes, as well as for researchers interested in a precise introduction to this area.

    x, 276 pages
    Language:
    English
    Type of Publication:
    Textbook
    Keywords:
    General Asymptotic Theory; Statistical Experiment; Local Asymptotic; Statistical Model; Local Asymptotic Normality; Local Asymptotic Quadraticity; LAN; LAMN; LAQ

    MARC record

    MARC record for eBook
    Reinhard Höpfner, Johannes Gutenberg University Mainz, Germany.
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