© 1995

Theory of Statistics


Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Mark J. Schervish
    Pages 1-81
  3. Mark J. Schervish
    Pages 82-143
  4. Mark J. Schervish
    Pages 144-213
  5. Mark J. Schervish
    Pages 214-295
  6. Mark J. Schervish
    Pages 296-343
  7. Mark J. Schervish
    Pages 344-393
  8. Mark J. Schervish
    Pages 394-475
  9. Mark J. Schervish
    Pages 476-535
  10. Mark J. Schervish
    Pages 536-569
  11. Mark J. Schervish
    Pages 704-716
  12. Back Matter
    Pages 570-703

About this book


The aim of this graduate textbook is to provide a comprehensive advanced course in the theory of statistics covering those topics in estimation, testing, and large sample theory which a graduate student might typically need to learn as preparation for work on a Ph.D. An important strength of this book is that it provides a mathematically rigorous and even-handed account of both Classical and Bayesian inference in order to give readers a broad perspective. For example, the "uniformly most powerful" approach to testing is contrasted with available decision-theoretic approaches.


ANOVA Estimator Likelihood Probability distribution Probability theory Variance bayesian statistics best fit

Authors and affiliations

  1. 1.Department of StatisticsCarnegie Mellon UniversityPittsburghUSA

Bibliographic information

  • Book Title Theory of Statistics
  • Authors Mark J. Schervish
  • Series Title Springer Series in Statistics
  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94546-0
  • Softcover ISBN 978-1-4612-8708-7
  • eBook ISBN 978-1-4612-4250-5
  • Series ISSN 0172-7397
  • Series E-ISSN 2197-568X
  • Edition Number 1
  • Number of Pages XVI, 716
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Probability Theory and Stochastic Processes
    Statistical Theory and Methods
  • Buy this book on publisher's site
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From the reviews:

"Another excellent book in theory of statistics is by Mark J. Schervish. … Readers will enjoy reading this book to see how differently the theory can be presented … . This well written book contains nine chapters and four appendices. ... Each chapter has both easy and challenging problems. The book is suitable for graduate level statistical theory courses. Examples and illustrations are well explained. I liked the author’s presentation, and learned a lot from the book. I highly recommend this book to theoretical statisticians." (Ramalingam Shanmugam, Journal of Statistical Computation and Simulation, Vol. 74 (11), November, 2004)