Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICS

  • Khan, Abdul Hamid (DEPARTMENT OF STATISTICS AND OPERATIONS RESEARCH ALIGARH MUSLIM UNIVERSITY) ;
  • Faizan, Mohd. (DEPARTMENT OF STATISTICS AND OPERATIONS RESEARCH ALIGARH MUSLIM UNIVERSITY) ;
  • Haque, Ziaul (DEPARTMENT OF STATISTICS AND OPERATIONS RESEARCH ALIGARH MUSLIM UNIVERSITY)
  • Received : 2009.06.15
  • Published : 2010.07.31
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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.

Keywords

References

  1. M. Ahsanullah, Record Statistics, Nova Science Publishers, Inc., Commack, NY, 1995.
  2. H. Athar, M. Yaqub, and H. M. Islam, On characterization of distributions through linear regression of record values and order statistics, Aligarh J. Statist. 23 (2003), 97–105.
  3. M. Y. Lee, Characterization of the exponential distribution by conditional expectations of record values, Commun. Korean Math. Soc. 16 (2001), no. 2, 287–290.
  4. M. Y. Lee, S. K. Chang, and K. H. Jung, Characterizations of the exponential distribution by order statistics and conditional expectations of record values, Commun. Korean Math. Soc. 17 (2002), no. 3, 535–540. https://doi.org/10.4134/CKMS.2002.17.3.535

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  3. Characterization of probability distributions by conditional expectation of function of record statistics vol.22, pp.2, 2014, https://doi.org/10.1016/j.joems.2013.07.008
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