通过记录值的二元回归刻画概率分布
Characterizations of probability distributions via bivariate regression of record values
摘要：
Bairamov等人（Aust N Z J Stat 47：543-547，2005）根据记录值与其相邻记录值作为协变量的函数的回归来表征指数分布。我们将这些结果推广到非相邻协变量的情况。我们还考虑了一个更一般的设置涉及单调变换。作为特殊情况下，我们提出的特征，涉及加权算术，几何，和调和平均。
英文摘要：
Bairamov et al. (Aust N Z J Stat 47:543-547, 2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of non-adjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric, and harmonic means.
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。
