Characterizations of probability distributions via bivariate regression of record values

Details Characterizations of probability distributions via bivariate regression of record values Characterizations of probability distributions via bivariate regression of record values

2007-07-27

arxiv.org/abs/0707.4121v1

Mathematics

Probability

accepted in Metrika

Scientific paper

10.1007/s00184-007-0142-7

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.

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