Sharp bounds on expectations of kth record spacings from restricted families

Statistics and Probability Letters

Volumn 69, Issue 2, 2004, Pages 175-187

  Danielak, Katarzyna ^a   Raqab, Mohammad Z ^b  

^a INSTITUTE OF MATHEMATICS   (Poland)

^b UNIVERSITY OF JORDAN   (Jordan)

Author keywords

Bound; Decreasing density; Decreasing failure rate; kth Record; Projection

Indexed keywords

EID: 4344673886     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2004.06.027     Document Type: Article

References (15)

1. M. Ahsanullah Linear predictions of record values for two parameter exponential distribution Ann. Inst. Statist. Math. 32 1980 363-368
2. K. Danielak Sharp upper mean-variance bounds for trimmed means from restricted families Statistics 37 2003 305-324
3. Danielak K., 2004. Distribution-free bounds for expectations of increments of records. J. Statist. Plann. Inference, to
4. Danielak K. Raqab M.Z. 2004 Sharp bounds for expectations of kth recordincrements. Austral. New Zealand J. Statist. to appear
5. Danielak K. Rychlik T. 2004 Sharp bounds for expectations of spacings from decreasing density and failure rate families Appl. Math. (Warsaw) to appear
6. W. Dziubdziela B. Kopociński Limiting properties of the k th record value Appl. Math. (Warsaw) 15 1976 187-190
7. L. Gajek T. Rychlik Projection method for moment bounds on order statistics from restricted families I. Dependent case. J. Multivariate Anal. 57 1996 156-174
8. L. Gajek T. Rychlik Projection method for moment bounds on order statistics from restricted families. II. Independent case J. Multivariate Anal. 64 1998 156-182
9. L. Gajek A. Okolewski Projection bounds on expectations of record statistics from restricted families J. Statist. Plann. Inference 110 2003 97-108
10. M.Z. Raqab Projection p -norm bounds on the moments of k th records increments J. Statist. Plann. Inference 124 2 2004 301-315
11. Raqab M.Z. 2004 Bounds on the expectations of kth records increments submitted for publication
12. T. Rychlik Evaluating improvements of records Appl. Math. (Warsaw) 24 1997 315-324
13. T. Rychlik Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples J. Statist. Plann. Inference 92 2001 21-38
14. Rychlik T. 2001b in: Projecting statistical functionals Lecture Notes in Statistics Vol. 160 Springer New York
15. van Zwetf W.R. 1964 in: Convex Transformations of Random Variables, Mathematisch Centrum Tracts Vol. 7.