Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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CHARACTERIZATIONS OF THE UNIFORM DISTRIBUTIONS BASED ON UPPER RECORD VALUES

  • 투고 : 2019.06.13
  • 심사 : 2019.08.08
  • 발행 : 2019.09.30
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초록

We obtain two characterizations of uniform distribution based on ratios of upper record values by the properties of independence and identical distribution.

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참고문헌

  1. J. Aczel, Lectures on Functional Equations and Their Applications, Academic Press, New York, 1966.
  2. M. Ahsanullah, Record Values: Theory and Application, University Press of America, Inc., Lanham, Maryland, USA, 2005
  3. G. Arslan, M. Ahsanullah and I.G. Bairamov, On characteristic properties of the uniform distribution. Sankhya 67 (2005), 715-721.
  4. G. Arslan, M. Ahsanullah and I.G. Bairamov, On some characteristic properties of the uniform distribution, In: Advances on Model, Characterizations and Applications, N. Balakrishnan, I.G. Bairamov and O.L. Gebizlioglu (eds), Champan and Hall/CRC, Boca Raton, Florida, 2005, pp. 153-160.
  5. S. Nadarajah, M. Teimouri and S.H. Shih, Characterizations of the Weibull and uniform distributions using record values, Braz. J. Probab. Stat. 28 (2014) 209-222. https://doi.org/10.1214/12-BJPS202