Asymptotic statistics / A. W. van der Vaart.
Series Cambridge series on statistical and probabilistic mathematics: Editor: Cambridge, UK : Cambridge University Press, 1998Descripción: xv, 443 p. : il. ; 26 cmISBN: 0521496039; 0521784506 (pbk.)Tema(s): Mathematical statistics -- Asymptotic theoryOtra clasificación: 62-02 (62E20 62F05 62F12 62G07 62G09 62G20) Recursos en línea: Publisher description | Google Book Search1. Introduction2. Stochastic convergence3. Delta-method4. Moment estimators5. M- and Z-estimators6. Contiguity7. Local asymptotic normality8. Efficiency of estimators9. Limits of experiments10. Bayes procedures11. Projections12. U-statistics13. Rank, sign, and permutation statistics14. Relative efficiency of tests15. Efficiency of tests16. Likelihood ratio tests17. Chi-square tests18. Stochastic convergence in metric spaces19. Empirical processes20. Functional delta-method21. Quantiles and order statistics22. L-statistics23. Bootstrap24. Nonparametric density estimation25. Semiparametric models.
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Incluye referencias bibliográficas (p. 433-438) e índice.
1. Introduction -- 2. Stochastic convergence -- 3. Delta-method -- 4. Moment estimators -- 5. M- and Z-estimators -- 6. Contiguity -- 7. Local asymptotic normality -- 8. Efficiency of estimators -- 9. Limits of experiments -- 10. Bayes procedures -- 11. Projections -- 12. U-statistics -- 13. Rank, sign, and permutation statistics -- 14. Relative efficiency of tests -- 15. Efficiency of tests -- 16. Likelihood ratio tests -- 17. Chi-square tests -- 18. Stochastic convergence in metric spaces -- 19. Empirical processes -- 20. Functional delta-method -- 21. Quantiles and order statistics -- 22. L-statistics -- 23. Bootstrap -- 24. Nonparametric density estimation -- 25. Semiparametric models.
MR, 2000c:62003
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