East Asian mathematical journal

  • 제34권1호
  • /
  • Pages.59-67
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  • 2018
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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RECURRENCE RELATIONS FOR HIGHER ORDER MOMENTS OF A COMPOUND BINOMIAL RANDOM VARIABLE

  • Kim, Donghyun (Department of Mathematics, Pusan National University) ;
  • Kim, Yoora (Department of Mathematics, University of Ulsan)
  • 투고 : 2017.09.25
  • 심사 : 2018.01.23
  • 발행 : 2018.01.31
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초록

We present new recurrence formulas for the raw and central moments of a compound binomial random variable. Our approach involves relating two compound binomial random variables that have parameters with a difference of 1 for the number of trials, but which have the same parameters for the success probability for each trial. As a consequence of our recursions, the raw and central moments of a binomial random variable are obtained in a recursive manner without the use of Stirling numbers.

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참고문헌

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