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In queuing theory (QT), the problem of estimating the mean residual lifetime functions in dependent models with random right censoring of observations often arises. This is important for analyzing the time parameters of a queuing system, such as waiting time, service time, and other characteristics. The article considers estimating the mean residual lifetime function in a dependent model with random right censoring of observations. The estimate is constructed using the Archimedean copula of functions. The property of consistency of the estimate is proved.

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On Estimation of Some Functional of the Distribution Function for Dependent Incomplete Observations in Queuing Theory

  • 会议论文

  • 发表日期：

    2025年

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  • Rustamjon S. Muradov,
  • Nurlan T. Dushatov

摘要

In queuing theory (QT), the problem of estimating the mean residual lifetime functions in dependent models with random right censoring of observations often arises. This is important for analyzing the time parameters of a queuing system, such as waiting time, service time, and other characteristics. The article considers estimating the mean residual lifetime function in a dependent model with random right censoring of observations. The estimate is constructed using the Archimedean copula of functions. The property of consistency of the estimate is proved.