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On Recurrence Relations for the GS-Distribution of Lower Generalized Order Statistics |
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PP: 97-109 |
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doi:10.18576/jsapl/080203
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Author(s) |
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Mostafa M. Mohie El-Din,
Mohamed S. Kotb,
Haidy A. Newer,
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Abstract |
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| We establish recurrence relations for the single and product moments from the generalized S-distribution (GS-distribution) of lower generalized order statistics. Characterizations for the GS-distribution are derived. The GS-distribution is a family of distributions for continuous unimodal variables which includes distributions such as Uniform, Exponential, generalized exponential, Logistic and beta distributions, among others. Uniform and Exponential distributions are given as applications to illustrate the results. |
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