Topic
Natural exponential family
About: Natural exponential family is a research topic. Over the lifetime, 1973 publications have been published within this topic receiving 60189 citations. The topic is also known as: NEF.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, a method for modeling the exponential distribution of a random quantity, when only the integral representation for the distribution's parameter is known, is proposed and a theoretical probability proof of the method is given.
Abstract: A method is proposed for modelling the exponential distribution of a random quantity, when only the integral representation for the distribution's parameter is known. A theoretical-probability proof of the method is given.
TL;DR: In this paper, the authors compare several linear estimators of the mean and right-tail probability for the exponential distribution, and compare the results with the linear estimator for the mean distribution.
Abstract: We compare several linear estimators of the mean and several linear estimators of right-tail probability for the exponential distribution.
01 Jan 2003
TL;DR: In this article, the authors proposed the following: "TTPDJBUFE====== 1SPGFTTPS====== SPGFTTTPS====== %FQBSUNFOU====== PG====== $PNQVUFS====== *OGPSNBUJPO====== *OEPOH====== +VOJPS====== $PMMFHFHFHF======
Abstract: "TTPDJBUFE 1SPGFTTPS %FQBSUNFOU PG $PNQVUFS *OGPSNBUJPO "OEPOH +VOJPS $PMMFHF"OEPOH,PSFBFNBJMKELJN!BOEPOHDBDLS "TTJTUBOU 1SPGFTTPS %FQBSUNFOU PG 2VBMJUZ .BOBHFNFOU ,BOHXPO 5PVSJTN $PMMFHF5BFCBFL,PSFB "TTPDJBUFE QSPGFTTPS 4DIPPMPG $PNQVUFS &OHJOFFSJOH ,BZB 6OJWFSTJUZ,PSVOH,PSFB
TL;DR: In this article , a characterization of the exponential modified Erlang distribution with all rates different from each other is presented, which complements previous characterizations via hypoexponential distribution.
Abstract: The sum of independent, but not necessary identically distributed, exponential random variables follows a hypoexponential distribution. We focus on a particular case when all but one rate parameters of the exponential variables are identical. This is known as exponentially modified Erlang distribution in molecular biology. We prove a characterization of the exponential distribution, which complements previous characterizations via hypoexponential distribution with all rates different from each other.