Order statistics from non-identical right-truncated Lomax random variables with applications

Statistical Papers

Volumn 42, Issue 2, 2001, Pages 187-206

  Childs, Aaron ^a   Balakrishnan, N ^a   Moshref, Mohamed ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b AL AZHAR UNIVERSITY   (Egypt)

Author keywords

Bias; BLUE; Censoring; Lomax distribution; Mean square error; Order statistics; Outliers; Permanents; Product moments; Recurrence relations; Right truncated Lomax distribution; Robustness; Single moments

Indexed keywords

EID: 0347667345     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003620100050     Document Type: Article

References (20)

1. Anscombe, F.J. (1961). Estimating a Mixed-Exponential Response Law, Journal of the American Statistical Association 56, 493-502.
2. Arnold, B.C., Balakrishnan, N., and Nagaraja, H.N. (1992). A First Course in Order Statistics, John Wiley & Sons, New York.
3. Balakrishnan, N. (1988). Recurrence relations for order statistics from n independent and non-identically distributed random variables, Ann. Inst. Statist. Math. 40, 273-277.
4. Balakrishnan, N. (1994a). Order statistics from non-identical exponential random variables and some applications (with discussion), Comput. Statist. Data. Anal. 18, 203-253.
5. Balakrishnan, N. (1994b). On order statistics from non-identical right-truncated exponential random variables and some applications, Commum. Statist. - Theor. Meth. 23, 3373-3393.
6. Balakrishnan, N. and Balasubramanian (1995). Order statistics from non-identical power function random variables, Commum. Statist. - Theor. Meth. 24, 1443-1454.
7. Balakrishnan, N., Bendre, S.M., and Malik, H.J. (1992). General relations and identities for order statistics from non-independent non-identical variables, Annals of the Institute of Statistical Mathematics 44, 177-183.
8. Barnett, V. and Lewis, T. (1994). Oulters in Statistical Data, Third edition, John Wiley & Sons, Chichester.
9. Childs, A. and Balakrishnan, N. (1998). Generalized recurrence relations for moments of order statistics from non-identical Pareto and truncated Pareto random variables with applications to robustness. In Handbook of Statistics - 16: Order Statistics: Theory & Methods (Eds., N. Balakrishnan and C.R. Rao), pp. 403-438, Elsevier Science, North-Holland, Amsterdam.
10. Childs, A. and Balakrishnan, N. (2000). Relations for single moments of order statistics from non-identical logistic random variables and assessment of the effect of multiple outliers on the bias of linear estimators of location and scale, Submitted for Publication.
11. David, H.A. (1981). Order Statistics, Second edition, John Wiley & Sons, New York.
12. David, H. A., and Shu, V. S. (1978). Robustness of location estimators in the presence of an outlier, In Contributions to Survey Sampling and Applied Statistics: Papers in Honour of H. O. Hartley (Ed., H.A. David), 235-250, Academic Press, New York.
13. Fox, P.D. and Kraemer, H.C. (1971). A probability model for the remission rate of discharged psychiatric patients, Management Science 17B, 694-699.
14. Johnson, N.L., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distributions - Volume 1, Second edition, John Wiley & Sons, New York.
15. Kulldorff, G., and Vännman, K., (1973). Estimation of the location and scale parameters of a Pareto distribution by linear functions of order statistics, Journal of the American Statistical Association 68, 218-227.
16. Maguire, B.A., Pearson, E.S. and Wynn, A.H.A. (1952). The time intervals between industrial accidents, Biometrika 39, 168-180.
17. Malik, H.J. (1966). Exact moments of order statistics from the Pareto Distribution, Skandinavisk Aktuarietidskrift, 49, No. 3-4, 144-157.
18. Massy, W.F., Montgomery, D.B. and Morrison, D.G. (1970). Stochastic Models of Buying Behavior, M.I.T. Press, Cambridge, Massachusetts.
19. Turnbull, B.W., Brown, B.W., Jr., and Hu, M. (1974). Survivorship analysis of heart transplant data, Journal of the American Statistical Association 69, 74-80.
20. Vaughan, R.J. and Venables, W.N. (1972). Permanent expressions for order statistics densities, J. Roy. Statist. Soc., Ser. B 34, 308-310.