On characterizations of distributions by expected values of order statistics and record values with gap |
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| Authors: | Manuel Franco Jose M. Ruiz |
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| Affiliation: | (1) Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, Apdo. 4021, 30071 Murcia, Spain |
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| Abstract: | In this paper, we obtain some recurrence relationships for conditional expectations of nonadjacent order statistics and record values when the distribution function is absolutely continuous, and we prove that the distribution function is uniquely determined by the distribution of conditioned record values and by the expected values of these records. Further, different distributions are characterized by these relationships. |
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| Keywords: | Order statistics order mean function record values record mean function cumulative failure rate function |
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