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 new distribution based on the exponential distribution, known as Size-biased Double Weighted Exponential Distribution (SDWED), was introduced for ball bearing data.
Abstract: This
paper introduces a new distribution based on the exponential distribution,
known as Size-biased Double Weighted Exponential Distribution (SDWED) Some
characteristics of the new distribution are obtained Plots for the cumulative
distribution function, pdf and hazard function, tables with values of skewness
and kurtosis are provided As a motivation, the statistical application of the
results to a problem of ball bearing data has been provided It is observed
that the new distribution is skewed to the right and bears most of the
properties of skewed distribution It is found that our newly proposed
distribution fits better than size-biased Rayleigh and Maxwell distributions
and many other distributions Since many researchers have studied the procedure
of the weighted distributions in the estates of forest, biomedicine and
biostatistics etc, we hope in numerous fields of theoretical and applied
sciences, the findings of this paper will be useful for the practitioners
7 citations
••
TL;DR: Various new inequalities for tail proabilities for distributions that are elements of the most improtant exponential families, which include the Poisson distributions, the Gamma distribution, the binomial distributions,The negative binomial distribution and the inverse Gaussian distributions are presented.
Abstract: In this paper we present various new inequalities for tail proabilities for distributions that are elements of the most improtant exponential families. These families include the Poisson distributions, the Gamma distributions, the binomial distributions, the negative binomial distributions and the inverse Gaussian distributions. All these exponential families have simple variance functions and the variance functions play an important role in the exposition. All the inequalities presented in this paper are formulated in terms of the signed log-likelihood. The inequalities are of a qualitative nature in that they can be formulated either in terms of stochastic domination or in terms of an intersection property that states that a certain discrete distribution is very close to a certain continuous distribution.
7 citations
••
TL;DR: Analogues of classical representation formulas for entire functions of exponential type are proved in the class of discrete analytic functions as mentioned in this paper, which is a generalization of the classical representation formula for functions of the exponential type.
Abstract: Analogues of classical representation formulas for entire functions of exponential type are proved in the class of discrete analytic functions.
7 citations
••
TL;DR: A Bayesian analysis of detection of a change of parameter in a sequence of independent random variables from exponential family using the highest posterior density credible set is proposed.
7 citations