Some refinements of the quasi-quantiles

Statistics and Probability Letters

Volumn 32, Issue 1, 1997, Pages 67-74

  Mudholkar, Govind S ^a   Hutson, Alan D ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

Asymptotic expansion; Bias; Optimization; Variance

Indexed keywords

EID: 0031566891     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(96)00057-0     Document Type: Article

References (9)

1. David, H.A. (1981), Order Statistics (Wiley, New York, 2nd ed.)
2. David, F.N. and N.L. Johnson (1954), Statistical treatment of censored data, Biometrika 41, 228-240.
3. Davis, C.E. and S.M. Steinberg (1986), Estimation of quantiles, in: S. Kotz and N.L. Johnson, eds., C.B. Read, Exec. ed., Encyclopedia of Star'l. Sci, Vol. 7, (Wiley, New York) 408-412.
4. Hodges, J.L., Jr. (1967), Efficiency in normal samples and tolerance of extreme values for some estimates of location, Proc. 5th Berkeley Symp. I, 163-186.
5. Hodges, J.L., Jr. and E.L. Lehmann (1967), On medians and quasi-medians, J. Amer. Statist. Assoc. 62, 926-931.
6. Reiss, R.-D. (1980), Estimation of quantiles in certain nonparametric models, Ann. Math. Statist. 8, 87-105.
7. Reiss, R.-D. (1989), Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics (Springer, New York).
8. Sheather, S.J. and J.S. Marron (1990), Kernel quantile estimators, JASA 85, 410-416.
9. van Zwet, W.R. (1964), Convex Transformation of Random Variables, Mathematical Centre Tracts, Amsterdam.