Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF RECORD VALUES

  • 투고 : 2017.02.06
  • 심사 : 2017.02.28
  • 발행 : 2017.09.30
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초록

A sequence {$X_n,\;n{\geq}1$} of independent and identically distributed random variables with absolutely continuous (with respect to Lebesque measure) cumulative distribution function F(x) is considered. We obtain two characterizations of a family of continuous probability distribution by independence property of record values.

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참고문헌

  1. J. Aczel, Lectures on functional equations and their applications, Academic Press. NY, 1966.
  2. M. Juhas and V. Skrivankova, Characterization of general classes of distributions based on independent property of transformed record values, Applied Mathematics and Computation 226 (2014), 44-50. https://doi.org/10.1016/j.amc.2013.10.037
  3. M-Y Lee and S-K Chang, Characterizations based on the independence of the exponential and Pareto distributions by record value, J. Appl Math & Computing. Vol. 18 (2005), no. 1-2, 497-503.
  4. G. Yanev and M. Ahsanullah, On characterizations based on regression of linear combinations of record values, Sankhya 71(1) (2009), 109-121.

피인용 문헌

  1. ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF THE QUOTIENT-TYPE UPPER RECORD VALUES vol.37, pp.3, 2017, https://doi.org/10.14317/jami.2019.245