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- W4294555897 abstract "It is shown that the exponential is the only distribution which satisfies a certain regression equation. This characterization equation involves the conditional expectation (regression function) of a record value given a pair of record values, one previous and one future, as covariates. The underlying distribution is exponential if and only if the above regression equals the expected value of an appropriately defined Beta distributed random variable. In a particular case, the expected value of the Beta variable reduces to a weighted average of the covariates." @default.
- W4294555897 created "2022-09-04" @default.
- W4294555897 creator A5065437347 @default.
- W4294555897 date "2017-02-20" @default.
- W4294555897 modified "2023-09-26" @default.
- W4294555897 title "Characterization of exponential distribution through bivariate regression of record values revisited" @default.
- W4294555897 doi "https://doi.org/10.48550/arxiv.1702.06195" @default.
- W4294555897 hasPublicationYear "2017" @default.
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