Description
Book SynopsisThis monograph is the first unified treatment of an indispensable technique for comparing statistical tests, especially in nonparametric statistics. It presents powerful new methods to evaluate explicitly different kinds of efficiencies. Many Russian results are published here for the first time in English.
Trade Review'It is an excellent book. I believe that every mathematical statistician should have this book in his or her collection … I enjoyed reading this book. I am sure that others will also like it.' Ramalingam Shanmugam, SIAM Reviews
Table of ContentsIntroduction; 1. Asymptotic efficiency of statistical tests and mathematical means for its computation; 2. Asymptotic efficiency of nonparametric goodness-of-fit tests; 3. Asymptotic efficiency of nonparametric homogeneity tests; 4. Asymptotic efficiency of nonparametric symmetry tests; 5. Asymptotic efficiency of nonparametric independence tests; 6. Local asymptotic optimality of nonparametric tests and the characterisation of distributions.