1st Edition

Counterexamples in Probability And Statistics

By Joseph P. Romano, A.F. Siegel Copyright 1986
    328 Pages
    by Chapman & Hall

    This volume contains six early mathematical works, four papers on fiducial inference, five on transformations, and twenty-seven on a miscellany of topics in mathematical statistics. Several previously unpublished works are included.

    Chapter One Probability Spaces Introduction, Chapter Two Random Variables, Densities, and Distribution Functions, Chapter Three Moments of Random Variables, Chapter Four Properties of Real Random Variables, Chapter Five Sequences of Random Variables, Chapter Six Conditional Expectation, Martingales, and Almost Sure ConvergencE of Sums of Independent Random Variables, Chapter Seven Properties of Statistical Experiments, , Chapter Nine Optimality of Estimators, Chapter Ten Hypothesis Testing, Appendix Additional Counterexamples, References, Index

    Biography

    Siegel, A.F.

    "The book is well organized...the crisp style of presentation distinguishes the book from most commonly used texts...I recommend it highly as a reference handbook for use by biology students...Also, it will serve as a convenient source for statistical practitioners. The book has the broadest coverage of relevant topics among applied texts at this level. I have already found it highly useful on my own shelf. The authors are obviously well acquainted with their business and communicate their ideas clearly and succinctly."
    -Journal of the American Statistical Society