DOI QR코드

DOI QR Code

ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF THE QUOTIENT-TYPE UPPER RECORD VALUES

  • 투고 : 2018.12.21
  • 심사 : 2019.03.13
  • 발행 : 2019.05.30

초록

In this paper we obtain characterizations of a family of continuous probability distribution by independence property of upper record values. Also, we introduce some examples of the characterizations of distributions from these general classes of continuous distributions.

키워드

참고문헌

  1. J. Aczel, Lectures on functional equations and their applications, Academic Press., NY, 1966.
  2. M. Ahsanullah and M. Shakil, A note on the characterizations of the Pareto distribution by upper record values, Commun. Korea Math. Soc. 27 (2012), 835-842. https://doi.org/10.4134/CKMS.2012.27.4.835
  3. M. Ahsanullah and G.G. Hamedani, Exponential distribution:Theory and Methods, NOVA Science, New York, 2010.
  4. H.W. Jin and M.Y. Lee On characterization of the continuous distributions by independence property of record values, J. Appl. Math. and Informatics 35 (2017), 651-657. https://doi.org/10.14317/jami.2017.651
  5. 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
  6. M.Y. Lee and E.H. Lim, On characterization of the Pareto distribution by the independent property of record values, J. Chungcheong Math. Soc. 24 (2011), 85-89.
  7. M.Y. Lee and E.H. Lim, On characterizations of the Weibull distribution by the independent property of record value, J. Chungcheong Math. Soc. 23 (2010), 245-250.