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Relationships for moments of order statistics from the right-truncated generalized half logistic distribution. (English) Zbl 0885.62060

Summary: 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 N. Balakrishnan and R. Sandhu [J. Stat. Comput. Simulation 52, No. 3-4, 385-398 (1995; Zbl 0845.62039)].

MSC:

62G30 Order statistics; empirical distribution functions

Citations:

Zbl 0845.62039

Software:

LMOMENTS
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Full Text: DOI

References:

[1] Arnold B. C. and Balakrishnan N. (1989). Relations, bounds and approximations for order statistics, Lecture Notes in Statist., 53, Springer, New York. · Zbl 0703.62064
[2] Arnold B. C., Balakrishnan N. and Nagaraja H. N. (1992). A First Course in Order Statistics, Wiley, New York. · Zbl 0850.62008
[3] Balakrishnan N. (1985). Order statistics from the half logistic distribution. J. Statist. Comput. Simulation, 20, 287-309. · Zbl 0569.62042 · doi:10.1080/00949658508810784
[4] Balakrishnan N. and Cohen A. C. (1991). Order Statistics and Inference: Estimation Methods, Academic Press, San Diego. · Zbl 0732.62044
[5] 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. · Zbl 0845.62039 · doi:10.1080/00949659508811687
[6] Cohen A. C. (1991). Truncated and Censored Samples: Theory and Applications, Marcel Dekker, New York. · Zbl 0742.62027
[7] Cohen A. C. and Whitten B. J. (1988). Parameter Estimation for Reliability and Life Span Models, Marcel Dekker, New York. · Zbl 0705.62093
[8] David H. A. (1981). Order Statistics, second ed., Wiley, New York. · Zbl 0553.62046
[9] Hosking, J. R. M. (1986). The theory of probability weighted moments, IBM Research Report, PC 12210, Yorktown, New York. · Zbl 0613.76054
[10] 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. · Zbl 0703.62018
[11] Joshi P. C. (1978). Recurrence relations between moments of order statistics from exponential and truncated exponential distributions, Sankhy?, Ser. B, 39, 362-371. · Zbl 0408.62040
[12] Joshi P. C. (1979). A note on the moments of order statistics from doubly truncated exponential distribution, Ann. Inst. Statist. Math., 31, 321-324. · Zbl 0445.62064 · doi:10.1007/BF02480290
[13] 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. · Zbl 0473.62042 · doi:10.1016/0378-3758(82)90051-9
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