Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME PROPERTIES OF SPECIAL POLYNOMIALS WITH EXPONENTIAL DISTRIBUTION

  • Kang, Jung Yoog (Department of Mathematics Education Silla University) ;
  • Lee, Tai Sup (Department of Information and Statistics Anyang University)
  • Received : 2018.04.19
  • Accepted : 2018.06.12
  • Published : 2019.04.30
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Abstract

In this paper, we discuss special polynomials involving exponential distribution, which is related to life testing. We derive some identities of special polynomials such as the symmetric property, recurrence formula and so on. In addition, we investigate explicit properties of special polynomials by using their derivative and integral.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

References

  1. M. Ahsanullah, Linear prediction of record values for the two-parameter exponential distribution, Ann. Inst. Statist. Math. 32 (1980), no. 3, 363-368. https://doi.org/10.1007/BF02480340
  2. W. M. Albert and O. Ingram, A multivatiate exponential distribution, Boeing Scientific Research Laboratories, 450, March, 1966.
  3. B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, Records, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1998.
  4. B. Epstein, The exponential distribution and its role in life testing, Industrial Quality Control 15 (1958), 2-7.
  5. T. S. Ferguson, A characterization of the exponential distribution, Ann. Math. Statist. 35 (1964), 1199-1207. https://doi.org/10.1214/aoms/1177703277
  6. J. E. Freund, A bivariate extension of the exponential distribution, J. Amer. Statist. Assoc. 56 (1961), 971-977. https://doi.org/10.1080/01621459.1961.10482138
  7. N. Glick, Breaking records and breaking boards, Amer. Math. Monthly 85 (1978), no. 1, 2-26. https://doi.org/10.1080/00029890.1978.11994501
  8. E. J. Gumbel, Bivariate exponential distributions, J. Amer. Statist. Assoc. 55 (1960), 698-707. https://doi.org/10.1080/01621459.1960.10483368
  9. V. B. Nevzorov, Records: mathematical theory, translated from the Russian manuscript by D. M. Chibisov, Translations of Mathematical Monographs, 194, American Mathematical Society, Providence, RI, 2001.