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<p>It is known that all the proportional reversed hazard (PRH) processes can be derived by a marginal transformation applied to a power function distribution (PFD) process. Kundu (<CitationRef CitationID="CR8">2022</CitationRef>) investigated PRH processes that can be viewed as being obtained by marginal transformations applied to a particular PFD process. This will be described and investigated, and will be called a Kundu process. In the present note, in addition to studying the Kundu process, we introduce a new PFD process having Markovian and stationarity properties. We discuss distributional features of such processes, explore inferential aspects, and include an example of applications of the PFD processes to real-life data.</p>

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Some power function distribution processes

  • 期刊论文

  • 发表日期：

    2026年3月25日

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  • Barry C. Arnold,
  • Sachin Sachdeva,
  • B. G. Manjunath

摘要

It is known that all the proportional reversed hazard (PRH) processes can be derived by a marginal transformation applied to a power function distribution (PFD) process. Kundu (2022) investigated PRH processes that can be viewed as being obtained by marginal transformations applied to a particular PFD process. This will be described and investigated, and will be called a Kundu process. In the present note, in addition to studying the Kundu process, we introduce a new PFD process having Markovian and stationarity properties. We discuss distributional features of such processes, explore inferential aspects, and include an example of applications of the PFD processes to real-life data.