Author | Reiss, R.-D. author |
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Title | Approximate Distributions of Order Statistics [electronic resource] : With Applications to Nonparametric Statistics / by R.-D. Reiss |
Imprint | New York, NY : Springer New York, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9620-8 |
Descript | XII, 355 p. online resource |
0 Introduction -- 0.1. Weak and Strong Convergence -- 0.2. Approximations -- 0.3. The Role of Order Statistics in Nonparametric Statistics -- 0.4. Central and Extreme Order Statistics -- 0.5. The Restriction to Independent and Identically Distributed Random Variables -- 0.6. Graphical Methods -- 0.7. A Guide to the Contents -- 0.8. Notation and Conventions -- I Exact Distributions and Basic Tools -- 1 Distribution Functions, Densities, and Representations -- 2 Multivariate Order Statistics -- 3 Inequalities and the Concept of Expansions -- II Asymptotic Theory -- 4 Approximations to Distributions of Central Order Statistics -- 5 Approximations to Distributions of Extremes -- 6 Other Important Approximations -- 7 Approximations in the Multivariate Case -- III Statistical Models and Procedures -- 8 Evaluating the Quantile and Density Quantile Function -- 9 Extreme Value Models -- 10 Approximate Sufficiency of Sparse Order Statistics -- Appendix 1. The Generalized Inverse -- Appendix 2. Two Technical Lemmas on Expansions -- Appendix 3. Further Results on Distances of Measures -- Author Index