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A note on the moments of order statistics from doubly truncated exponential distribution

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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

  1. David, H. A. (1970).Order Statistics, Wiley, New York.

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  2. Joshi, P. C. (1978). Recurrence relations between moments of order statistics from exponential and truncated exponential distributions,Sankhyá, B,39, 362–371.

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  3. 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

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