On Reduction of Mixtures of the Exponential Family Distributions
نویسندگان
چکیده
Many estimation problems require a mixture reduction algorithm with which an increasing number of mixture components are reduced to a tractable level. In this technical report a discussion on di erent aspects of mixture reduction is given followed by a presentation of numerical simulation on reduction of mixture densities where the component density belongs to the exponential family of distributions.
منابع مشابه
Comparsion Between Several Distributions of Exponential Family and Offering Their Features and Applications
In this paper, first, we investigate probability density function and the failure rate function of some families of exponential distributions. Then we present their features such as expectation, variance, moments and maximum likelihood estimation and we identify the most flexible distributions according to the figure of probability density function and the failure rate function and f...
متن کاملTesting a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability
In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-va...
متن کاملA Method to Expand Family of Continuous Distributions based on Truncated Distributions
Abstract: A new method to generate various family of distributions is introduced. This method introduces a new two-parameter extension of the exponential distribution to illustrate its application. Some statistical and reliability properties of the new distribution, including explicit expressions for the moments, quantiles, mode, moment generating function, mean residual lifetime, stochas...
متن کاملProviding of some family of continuous distributions to fit the best distribution on drought data of Guilan state and investigation of duration of the drought on this stat
In this paper, after stating the characteristicof some of continuous distributions including, gamma, Crovelli’s gamma, Rayleigh, Weibull, Pareto, exponential and generalized gamma distribution with each other,these distributions were fit on drought data of Guilan state and the best distribution was presented. Then, severity and duration of the drought of different sites were investigated usi...
متن کاملOn Bivariate Generalized Exponential-Power Series Class of Distributions
In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...
متن کامل