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Calculating the probability characteristics of a boundary functional of a semi‐continuous random process with reflecting and delaying screens

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  • Tahir A. Khaniev
  • Halim Özdemir
  • Selahattin Maden

Abstract

In this paper, the semi‐continuous random process with reflecting and delaying screens which plays an important role in stock control theory is constructed. Furthermore, the distribution function, its Laplace transform and numerical characteristics of the boundary functional γ1 of the process where γ1 is the first reflection moment of the process is calculated. © 1998 John Wiley & Sons, Ltd.

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  • Tahir A. Khaniev & Halim Özdemir & Selahattin Maden, 1998. "Calculating the probability characteristics of a boundary functional of a semi‐continuous random process with reflecting and delaying screens," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(2), pages 117-123, June.
    • Handle: RePEc:wly:apsmda:v:14:y:1998:i:2:p:117-123
    DOI: 10.1002/(SICI)1099-0747(199806)14:23.0.CO;2-L
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    Cited by:

    1. Khaniyev, T. & Kesemen, T. & Aliyev, R. & Kokangul, A., 2008. "Asymptotic expansions for the moments of a semi-Markovian random walk with exponential distributed interference of chance," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 785-793, April.
    2. Khaniyev, Tahir & Kucuk, Zafer, 2004. "Asymptotic expansions for the moments of the Gaussian random walk with two barriers," Statistics & Probability Letters, Elsevier, vol. 69(1), pages 91-103, August.
    3. Aynura Poladova & Salih Tekin & Tahir Khaniyev, 2020. "A novel replacement policy for a linear deteriorating system using stochastic process with dependent components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(3), pages 381-396, May.

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