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A characterization of the Pareto distribution based on the Fisher information for censored data under non-regularity conditions

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It is proved that within a proper class of distributions, the Pareto and the shifted exponential distribution are the only distributions with the property of no loss of information due… Click to show full abstract

It is proved that within a proper class of distributions, the Pareto and the shifted exponential distribution are the only distributions with the property of no loss of information due to type-I censoring and random censoring. The equality of the information before and after censoring it is achieved only when the regularity conditions do not hold.

Keywords: regularity conditions; information; pareto distribution; characterization pareto

Journal Title: Metrika
Year Published: 2018

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