Probability and Statistical Inference (Statistics: A Series of Textbooks and Monographs) - Softcover

Book 78 of 88: Statistics: A Series of Textbooks and Monographs

Mukhopadhyay, Nitis

 
9780367659493: Probability and Statistical Inference (Statistics: A Series of Textbooks and Monographs)
Softcover
ISBN 10: 0367659492 ISBN 13: 9780367659493
Publisher: CRC Press, 2020

Synopsis

Priced very competitively compared with other textbooks at this level!
This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts.

Beginning with an introduction to the basic ideas and techniques in probability theory and progressing to more rigorous topics, Probability and Statistical Inference

  • studies the Helmert transformation for normal distributions and the waiting time between failures for exponential distributions
  • develops notions of convergence in probability and distribution
  • spotlights the central limit theorem (CLT) for the sample variance
  • introduces sampling distributions and the Cornish-Fisher expansions
  • concentrates on the fundamentals of sufficiency, information, completeness, and ancillarity
  • explains Basu's Theorem as well as location, scale, and location-scale families of distributions
  • covers moment estimators, maximum likelihood estimators (MLE), Rao-Blackwellization, and the Cramér-Rao inequality
  • discusses uniformly minimum variance unbiased estimators (UMVUE) and Lehmann-Scheffé Theorems
  • focuses on the Neyman-Pearson theory of most powerful (MP) and uniformly most powerful (UMP) tests of hypotheses, as well as confidence intervals
  • includes the likelihood ratio (LR) tests for the mean, variance, and correlation coefficient
  • summarizes Bayesian methods
  • describes the monotone likelihood ratio (MLR) property
  • handles variance stabilizing transformations
  • provides a historical context for statistics and statistical discoveries
  • showcases great statisticians through biographical notes

    Employing over 1400 equations to reinforce its subject matter, Probability and Statistical Inference is a groundbreaking text for first-year graduate and upper-level undergraduate courses in probability and statistical inference who have completed a calculus prerequisite, as well as a supplemental text for classes in Advanced Statistical Inference or Decision Theory.

    • "synopsis" may belong to another edition of this title.

    About the Author

    Nitis Mukhopadhyay

    "About this title" may belong to another edition of this title.

    Publisher
    CRC Press
    Publication date
    2020
    Language
    English
    ISBN 10 
    0367659492
    ISBN 13 
    9780367659493
    Binding
    Paperback
    Edition number
    1
    Number of pages
    665

    Other Popular Editions of the Same Title

    9780824703790: Probability and Statistical Inference (Statistics: A Series of Textbooks and Monographs)

    Featured Edition

    ISBN 10:  0824703790 ISBN 13:  9780824703790
    Publisher: CRC Press, 2000
    Hardcover