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Some properties of special polynomials with exponential distribution

강정욱|Tai Sup Lee
대한수학회 (The Korean Mathematical Society)|2019.04|대한수학회논문집 (Communications of the KMS)|제34권 제2호|pp. 383-390|DOI 10.4134/CKMS.c180163

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키워드

derivativeintegralexponential distributionspecial polynomials
주제분류수학

초록

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.

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.

참고문헌 (9)

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  2. W. M. Albert, "A multivatiate exponential distribution", Boeing Scientic Research Laboratories, 450 (1966)
  3. B. C. Arnold, "Records, Wiley Series in Probability and Statistics: Probability and Statistics" (1998), John Wiley & Sons, Inc
  4. B. Epstein, "The exponential distribution and its role in life testing", Industrial Quality Control, 15, pp.2~7 (1958)
  5. T. S. Ferguson, "A characterization of the exponential distribution", Ann. Math. Statist, 35, pp.1199~1207 (1964)
  6. J. E. Freund, "A bivariate extension of the exponential distribution", J. Amer. Statist. Assoc, 56, pp.971~977 (1961)
  7. N. Glick, "Breaking records and breaking boards", Amer. Math. Monthly, 85(1), pp.2~26 (1978)
  8. E. J. Gumbel, "Bivariate exponential distributions", J. Amer. Statist. Assoc, 55, pp.698~707 (1960)
  9. V. B. Nevzorov, "Records: mathematical theory" (2001), American Mathe-matical Society

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