대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권4호
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  • Pages.835-842
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  • 2012
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON THE CHARACTERIZATIONS OF PARETO DISTRIBUTION BY UPPER RECORD VALUES

  • 투고 : 2011.10.17
  • 발행 : 2012.10.31
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초록

Many researchers have studied the characterizations of probability distributions based on record values. It appears from literature that not much attention has been paid to the characterizations of the Pareto distribution. In this note, some new results on the characterizations of the Pareto distribution by upper record values have been established.

키워드

참고문헌

  1. M. Ahsanullah, Record values and the exponential distribution, Ann. Inst. Statist. Math. 30A (1978), no. 3, 429-433.
  2. M. Ahsanullah, Characterization of the exponential distribution by record values, Sankhya Ser. B 41 (1979), no. 1-2, 116-121.
  3. M. Ahsanullah, Some characteristic properties of the record values from the exponential distribution, Sankhya Ser. B 53 (1991), no. 3, 403-408.
  4. M. Ahsanullah, Record Values-Theory and Applications, University Press of America, Lanham, MD, 2004.
  5. M. Ahsanullah and F. Aliev, Some characterizations of exponential distribution by record values, J. Statist. Res. 42 (2008), no. 2, 41-46.
  6. M. Ahsanullah and G. G. Hamedani, Exponential Distribution-Theory and Methods, Nova Science Publications, New York, 2010.
  7. M. Ahsanullah, G. G. Hamedani, and M. Shakil, On record values of univariate exponential distribution, Journal of Statistical Research 44 (2010), no. 2, 267-288.
  8. B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, Records, John Wiley & Sons Inc., New York, 1998.
  9. I. G. Bairamov, M. Ahsanullah, and A. G. Pakes, A characterization of continuous distributions via regression on pairs of record values, Aust. N. Z. J. Stat. 47 (2005), no. 4, 543-547. https://doi.org/10.1111/j.1467-842X.2005.00415.x
  10. S.-K. Chang, Characterizations of the Pareto distribution by the independence of record values, Journal of the Chungcheong Mathematical Society 20 (2007), no. 1, 51-57.
  11. M.-Y. Lee, Characterizations of the Pareto distribution by conditional expectations of record values, Commun. Korean Math. Soc. 18 (2003), no. 1, 127-131. https://doi.org/10.4134/CKMS.2003.18.1.127
  12. H. N. Nagaraja, On a characterization based on record values, Austral. J. Statist. 19 (1977), no. 1, 70-73. https://doi.org/10.1111/j.1467-842X.1977.tb01078.x
  13. V. B. Nevzorov, Records: Mathematical Theory, American Mathematical Society, Providence, Rhode Island, 2000.
  14. C. R. Rao and D. N. Shanbhag, Recent approaches for characterizations based on order statistics and record values, Handbook of Statistics, (N. Balakrishnan and C. R. Rao eds.), 10 (1998), 231-257.
  15. M. N. Tata, On outstanding values in a sequence of random variables, Z. Wahrschein-lichkeitstheorie und Verw. Gebiete 12 (1969), 9-20. https://doi.org/10.1007/BF00538520
  16. G. Yanev, M. Ahsanullah, and M. I. Beg, Characterizations of probability distributions via bivariate regression of record values, Metrika 68 (2008), no. 1, 51-64. https://doi.org/10.1007/s00184-007-0142-7

피인용 문헌

  1. ON CHARACTERIZATIONS OF PARETO AND WEIBULL DISTRIBUTIONS BY CONSIDERING CONDITIONAL EXPECTATIONS OF UPPER RECORD VALUES vol.27, pp.2, 2014, https://doi.org/10.14403/jcms.2014.27.2.243