On characterization of certain distributions of kth lower (upper) record values

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摘要

General classes of continuous distributions are characterized by the conditional expectation of the kth lower record values. Specific distributions considered as particular cases of the general class of distributions are inverse exponential, inverse Weibull, inverse Pareto, negative exponential, negative Weibull, negative Pareto, negative power, Gumbel, exponentiated-Weibull, loglogistic, Burr X, inverse Burr XII and inverse paralogistic distributions.

论文关键词：kth Record values,Characterization,Inverse exponential distribution,Inverse Weibull distribution,Inverse Pareto distribution,Negative exponential distribution,Negative Weibull distribution,Negative Pareto distribution,Negative power distribution,Gumbel distribution,Exponentiated-Weibull distribution,Loglogistic distribution,Burr X distribution,Inverse Burr XII distribution,Inverse paralogistic distribution

论文评审过程：Available online 29 February 2008.

论文官网地址：https://doi.org/10.1016/j.amc.2008.02.022