比例优势族离散分布的可靠性研究
Reliability study of proportional odds family of discrete distributions
摘要：
比例优势模型给出了一种通过增加一个称为倾斜参数的参数来扩展现有分布族以生成新分布族的方法。这样得到的新分布族被称为马歇尔-奥尔金分布族或马歇尔-奥尔金扩展分布。本文考虑了倾斜参数固定的离散情形下的Marshall-Olkin分布族。我们研究了不同的老化性能，以及不同的随机排序，这个家庭的分布。本文的所有结果都得到了几个例子的支持。
英文摘要：
The proportional odds model gives a method of generating new family of distributions by adding a parameter, called tilt parameter, to expand an existing family of distributions. The new family of distributions so obtained is known as Marshall-Olkin family of distributions or Marshall-Olkin extended distributions. In this paper, we consider Marshall-Olkin family of distributions in discrete case with fixed tilt parameter. We study different ageing properties, as well as different stochastic orderings of this family of distributions. All the results of this paper are supported by several examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
