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Probability and Statistical Inference UK Edition
Contributor(s): Mukhopadhyay, Nitis (Author)
ISBN: 0824703790     ISBN-13: 9780824703790
Publisher: CRC Press
OUR PRICE:   $178.20  
Product Type: Hardcover - Other Formats
Published: March 2000
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Annotation: This gracefully organized text presents 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 the basic ideas and techniques of probability theory and progressing to more rigorous topics, this treatment covers all of the topics typically addressed in a two-semester course in probability and statistical inference for graduate and upper-level undergraduate courses, including hypothesis testing, Bayesian analysis, and sample-size determination. The author reinforces important ideas and special techniques with drills and boxed summaries.
Additional Information
BISAC Categories:
- Mathematics | Probability & Statistics - Bayesian Analysis
Dewey: 519.2
LCCN: 00022901
Series: Statistics: A Textbooks and Monographs
Physical Information: 1.44" H x 6.26" W x 9.04" (2.33 lbs) 690 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.

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