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CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS

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주제분류수학

초록

A family of continuous probability distribution has been characterized through the difference of two conditional expectations, conditioned on a non-adjacent record statistic. Also, a result based on the unconditional expectation and a conditional expectation is used to characterize a family of distributions. Further, some of its deductions are also discussed.

Abstract

A family of continuous probability distribution has been characterized through the difference of two conditional expectations, conditioned on a non-adjacent record statistic. Also, a result based on the unconditional expectation and a conditional expectation is used to characterize a family of distributions. Further, some of its deductions are also discussed.

참고문헌 (4)

  1. M. Ahsanullah, "Record Statistics" (1995), Nova Science Publishers, Inc.
  2. H. Athar, "On characterization of distributions through linear regression of record values and order statistics", Aligarh J. Statist., 23, pp.97~105 (2003)
  3. M. Y. Lee, "Characterization of the exponential distribution by conditional expectations of record values", Commun. Korean Math. Soc., 16(2), pp.287~290 (2001)
  4. Min-Young Lee, "Characterizations of the exponential distribution by order statistics and conditional expectations of record values", 대한수학회논문집, 17(3), pp.535~540 (2002), 대한수학회

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