Sharp bounds on l-estimates and them expectations for dependent samples

Communications in Statistics - Theory and Methods

Volumn 22, Issue 4, 1993, Pages 1053-1068

  Rychlik, Tomasz ^a  

^a INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

bounded random variables; central absolute moment; dependent sample; estimate bound on expectation; expectation; identically distributed variables; L estimate; order statistic; support; symmetric random variables

Indexed keywords

EID: 0000755822     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610928308831073     Document Type: Article

References (14)

1. Arnold, B. C. (1974). Schwarz, regression and extreme deviance. Amer. Statist. 28, 22–23
2. Arnold, B. C. (1980). Distribution-free bounds on the mean of the maximum of a dependent sample. SIAN J. Appl. Nath, 38, 163–167
3. Arnold, B. C. (1985). p-Norm bounds on the expectation of the maximum of possibly dependent sample. J. Multiv. Anal. 17, 316–332
4. Arnold, B. C. and Balakrishnan, N. (1989). Relations, Bounds and Approximations for Order Statistics. Lecture Notes in Statist. 53. New York: Springer
5. Arnold, B. C. and Groeneveld, R. A. (1979). Bounds on expectations of linear systematic statistics based on dependent samples. Ann. Statist. 7, 220–223. Correction 8, 1401
6. Arnold, B. C. and Groeneveld, R. A. (1981). Maximal deviation between sample and population means in finite populations. J. Amer. Statist. Assoc. 76, 443–445
7. Beesack, P. R. (1973). On bounds for the range of ordered variates. Publicat ions of the Electrotechnical Faculty of Belgrade Univ., Math. & Phys. Series 428, 93–96
8. Boyd, A. V. (1971), Bounds for order statistics. Publications of the Electrotechnical Faculty of Belgrade Univ., Math. & Phys. Series 365, 31–32
9. Fahmy, S. and Proschan, F. (1981). Bounds on differences of order statistics. Amer. Statist. 35, 46–47
10. Groeneveld, R. A. (1982). Best bounds for order statistics and their expectations in range and mean units with applications, Commun. Statist. - Theor. Meth. 11, 1809–1815
11. Hawkins, D. M. (1971). On the bounds of the range of order statistics. J. Amer. Statist. Assoc. 66, 644–645
12. Lai, T. L. and Robbins, H, (1976). Maximally dependent random variables. Proc. Nat. Acad. Sci. USA 73, 286–288
13. Mallows, C. L. and Richter, D. (1969). Inequalities of Chebyshev type involving conditional expectations, Ann. Math. Statist. 40, 1922–1932
14. Nagaraja, H. N. (1981). Some finite sample results for the selection differential. Ann. Inst. Statist. Math. 33, 437–448