Characterization of general classes of distributions based on independent property of transformed record values

摘要

In this paper, general classes of probability distributions are characterized using the independence of suitable transformations of records in a sequence of independent, identically distributed random variables. Examples of special cases of general classes as Gumbel, Fréchet, Weibull, exponential and lognormal distributions are discussed. Further we use the theoretical results for application to simulated data.