On Estimation of a Class of Efficacy-Related Parameters

Scandinavian Actuarial Journal

Volumn 1981, Issue 2, 1981, Pages 83-92

  Cheng, K F ^a   Serfling, R J ^b  

^a UNIVERSITY AT BUFFALO   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42149096777     PISSN: 03461238     EISSN: 16512030     Source Type: Journal    
DOI: 10.1080/03461238.1981.10413733     Document Type: Article

References (18)

1. I.A. Ahmad, (1976). On asymptotic properties of an estimate of a functional of a probability density. Scand. Actuarial J. 4, 176-181.
2. I.A. Ahmad, & P.E. Lin, (1976). Nonparametric estimation of a density functional. Florida State University Statistics Report M369.
3. P.K. Bhattacharyya, & G. Roussas, (1969). Estimation of a certain functional of a probability density function. Skand. Aktuar. Tidskr. 52, 431-444.
4. K.F. Cheng, (1979). Contributions to asymptotic theory for statistics as functionals of the empirical density function. Ph.D. dissertation, Florida State University.
5. K.F. Cheng, & R.J. Serfling, (1979). On rates of convergence in the I2-norm of nonparametric probability density estimates. Florida State University Statistics Report M506 (ONR Technical Report No. 139).
6. W. Hoeffding, (1963). Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58, 13-30.
7. A.N. Kolmogorov, (1929). Über das Gesetz des iterierten Logarithmus. Math. Annalen 10, 126-136.
8. E. Lehmann, (1963). Nonparametric confidence interval for a shift parameter. Ann. Math. Statist. 34, 1507-1512.
9. E. Parzen, (1962). On estimation of a probability density function and mode. Ann. Math. Statist. 33, 1065-1076.
10. M.L. Puri, & P.K. Sen, (1971). Nonparametric methods in multivariate analysis. Wiley, New York.
11. E. Schuster, (1974). On the rate of convergence of an estimate of a functional of a probability density. Scand. Actuarial J. 1, 103-107.
12. T. Schweder, (1975). Window estimation of the asymptotic variance of rank estimators of location. Scand. J. Statist. 2, 113-126.
13. P.K. Sen, (1966). On a distribution-free method of estimating asymptotic efficiency of a class of nonparametric tests. Ann. Math. Statist. 37, 1759-1770.
14. R. Mises, (1947). On the asymptotic distributions of differentiable statistical functions. Ann. Math. Statist. 18, 309-348.
15. G.S. Watson, & M.R. Leadbetter, (1963). On the estimation of the probability I. density, Ann. Math. Statist. 34, 480-491.
16. B.B. Winter, (1973). Recursive nonparametric estimation of densities and some density functionals. Department of Mathematics, University of Ottawa. B.B. Winter, (1979). Convergence rate of perturbed edf's. J. Appl. Prob., to appear.
17. R. J. Serfling, Department of Mathematical Sciences The Johns Hopkins University Baltimore, Maryland 21218, USA
18. K. F. Cheng, Department of Statistics SUNY/Buffalo