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    Probability and Statistical Inference (Repost)

    Posted By: DZ123
    Probability and Statistical Inference (Repost)

    Nitis Mukhopadhyay, "Probability and Statistical Inference"
    English | 2000 | ISBN: 0824703790 | PDF | pages: 689 | 18,7 mb

    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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