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A NOTE ON THE CHARACTERIZATIONS OF PARETO DISTRIBUTION BY UPPER RECORD VALUES

Mohammad Ahsanullah|Mohammad Shakil
대한수학회 (The Korean Mathematical Society)|2012.10|대한수학회논문집 (Communications of the KMS)|제27권 제4호|pp. 835-842

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참고문헌

키워드

characterizationPareto distributionrecord values
주제분류수학

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.

Abstract

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.

참고문헌 (16)

  1. M. Ahsanullah, "Record values and the exponential distribution", Ann. Inst. Statist. Math, 30(3), pp.429~433 (1978)
  2. M. Ahsanullah, "Characterization of the exponential distribution by record values", Sankhya Ser. B, 41(1-2), pp.116~121 (1979)
  3. M. Ahsanullah, "Some characteristic properties of the record values from the exponential distribution", Sankhya Ser. B, 53(3), pp.403~408 (1991)
  4. M. Ahsanullah, "Record Values-Theory and Applications" (2004), University Press of America
  5. M. Ahsanullah, "Some characterizations of exponential distribution by record values", J. Statist. Res, 42(2), pp.41~46 (2008)
  6. M. Ahsanullah, "Exponential Distribution-Theory and Methods" (2010), Nova Science Publications
  7. M. Ahsanullah, "On record values of univariate expo- nential distribution", Journal of Statistical Research, 44(2), pp.267~288 (2010)
  8. B. C. Arnold, "Records" (1998), John Wiley & Sons Inc
  9. I. G. Bairamov, "A characterization of continuous distributions via regression on pairs of record values", Aust. N. Z. J. Stat, 47(4), pp.543~547 (2005)
  10. 장세경, "Characterizations of the Pareto distribution by the independence of record values", 충청수학회지, 20(1), pp.51~57 (2007), 충청수학회
  11. Min-Young Lee, "Characterizations of the pareto distribution by conditionalexpectations of record values", 대한수학회논문집, 18(1), pp.127~131 (2003), 대한수학회
  12. H. N. Nagaraja, "On a characterization based on record values", Austral. J. Statist, 19(1), pp.70~73 (1977)
  13. V. B. Nevzorov, "Records: Mathematical Theory" (2000), American Mathematical Society
  14. C. R. Rao, "Recent approaches for characterizations based on order statistics and record values, In Handbook of Statistics, 10", pp.231~257 (1998)
  15. M. N. Tata, "On outstanding values in a sequence of random variables", Z. Wahrschein-lichkeitstheorie und Verw. Gebiete, 12, pp.9~20 (1969)
  16. G. Yanev, "Characterizations of probability distributions via bivariate regression of record values", Metrika, 68(1), pp.51~64 (2008)

관련 논문AI추천

CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS THROUGH RECORD STATISTICSAbdul Hamid Khan, Mohd. Faizan, Ziaul Haque대한수학회 · 대한수학회논문집2010 · 제25권 제3호Characterizations of the pareto distribution by conditionalexpectations of record valuesMin-Young Lee대한수학회 · 대한수학회논문집2003 · 제18권 제1호CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES이민영, 장세경한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호Characterizations of the exponential distribution by order statistics and conditional expectations of record valuesKap-Hun Jung, Min-Young Lee, Se-Kyung Chang대한수학회 · 대한수학회논문집2002 · 제17권 제3호Recurrence Relations for Quotient Moments of the Pareto Distribution by Record Values이민영, Se Kyung Chang한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호CONVERGENCE RATES FOR THE MOMENTS OF EXTREMESSaralees Nadarajah, Zuoxiang Peng대한수학회 · 대한수학회보2012 · 제49권 제3호

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