Abstract
In this paper, we establish several recurrence relations satisfied by the single and the product moments for order statistics from the right-truncated generalized half logistic distribution. These relationships may be used in a simple recursive manner in order to compute the single and the product moments of all order statistics for all sample sizes and for any choice of the truncation parameter P. These generalize the corresponding results for the generalized half logistic distribution derived recently by Balakrishnan and Sandhu (1995, J. Statist. Comput. Simulation, 52, 385–398).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Arnold B. C. and Balakrishnan N. (1989). Relations, bounds and approximations for order statistics, Lecture Notes in Statist., 53, Springer, New York.
Arnold B. C., Balakrishnan N. and Nagaraja H. N. (1992). A First Course in Order Statistics, Wiley, New York.
Balakrishnan N. (1985). Order statistics from the half logistic distribution. J. Statist. Comput. Simulation, 20, 287–309.
Balakrishnan N. and Cohen A. C. (1991). Order Statistics and Inference: Estimation Methods, Academic Press, San Diego.
Balakrishnan N. and Sandhu R. (1995). Recurrence relations for single and product moments of order statistics from a generalized half logistic distribution, with applications to inference, J. Statist. Comput. Simulation 52, 385–398.
Cohen A. C. (1991). Truncated and Censored Samples: Theory and Applications, Marcel Dekker, New York.
Cohen A. C. and Whitten B. J. (1988). Parameter Estimation for Reliability and Life Span Models, Marcel Dekker, New York.
David H. A. (1981). Order Statistics, second ed., Wiley, New York.
Hosking, J. R. M. (1986). The theory of probability weighted moments, IBM Research Report, PC 12210, Yorktown, New York.
Hosking J. R. M. (1990). L-moments: Analysis and estimation of distributions using linear combinations of order statistics, J. Roy. Statist. Soc. Ser. B, 52, 105–124.
Joshi P. C. (1978). Recurrence relations between moments of order statistics from exponential and truncated exponential distributions, Sankhyā, Ser. B, 39, 362–371.
Joshi P. C. (1979). A note on the moments of order statistics from doubly truncated exponential distribution, Ann. Inst. Statist. Math., 31, 321–324.
Joshi P. C. (1982). A note on the mixed moments of order statistics from exponential and truncated exponential distributions, J. Statist. Plann. Inference, 6, 13–16.
Author information
Authors and Affiliations
Additional information
Earlier went by the name R. A. Sandhu.
About this article
Cite this article
Balakrishnan, N., Aggarwala, R. Relationships for moments of order statistics from the right-truncated generalized half logistic distribution. Ann Inst Stat Math 48, 519–534 (1996). https://doi.org/10.1007/BF00050852
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00050852