Summary
In a recent paper [2], the author has obtained some recurrence relations between the moments of order statitics from the exponential and right truncated exponential distributions. In this paper, similar relations are derived for a doubly truncated exponential distribution. It is shown that one can obtain all the moments by using these recurrence relations.
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References
David, H. A. (1970).Order Statistics, Wiley, New York.
Joshi, P. C. (1978). Recurrence relations between moments of order statistics from exponential and truncated exponential distributions,Sankhyá, B,39, 362–371.
Saleh, A. K. M. E., Scott, C. and Junkins, D. B. (1975). Exact first and second order moments of order statistics from the truncated exponential distribution,Naval Res. Logist. Quart.,22, 65–77.
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Joshi, P.C. A note on the moments of order statistics from doubly truncated exponential distribution. Ann Inst Stat Math 31, 321–324 (1979). https://doi.org/10.1007/BF02480290
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DOI: https://doi.org/10.1007/BF02480290