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SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES

Author

Listed:
  • TAEKYUN KIM

    (Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea)

  • DAE SAN KIM

    (��Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea)

  • JIN-WOO PARK

    (��Department of Mathematics Education, Daegu University, Daegu, Republic of Korea)

  • SI-HYEON LEE

    (Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea)

  • SEONG-HO PARK

    (Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea)

  • MOHAMMED SULAIMAN ALQAWBA

    (�Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass, Saudi Arabia)

  • LEE-CHAE JANG

    (�Graduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea)

Abstract

The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poisson distributions or the positive Poisson distributions. Recently, as a natural extension of those distributions, Kim–Kim studied the zero-truncated degenerate Poisson distributions. In this paper, we introduce the r-truncated degenerate Poisson random variable with parameter α > 0, whose probability mass function is given by pλ,r(i) = (1)i,λ eλ(α)−eλ,r(α) αi i! , (i = r + 1,r + 2,r + 3,…), and investigate various properties of this random variable.

Suggested Citation

  • Taekyun Kim & Dae San Kim & Jin-Woo Park & Si-Hyeon Lee & Seong-Ho Park & Mohammed Sulaiman Alqawba & Lee-Chae Jang, 2022. "SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-7, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22401922
    DOI: 10.1142/S0218348X22401922
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