Characterizations of discrete distributions by a conditional distribution and a regression function

DOI10.1007/BF02480967zbMath0514.62018OpenAlexW2054552266MaRDI QIDQ1051363

J. Blot

Publication date: 1983

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02480967

zbMATH Keywords

goodness-of-fit testsconvolutionsconditional distributionslinear regressionbinomialPoissonPascal distributioncharacterizations of discrete distributions

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (22)

Characterizations of generalized multivariate discrete distributions by a regression point ⋮ Bivariate discrete Poisson-Lindley distributions ⋮ Characterizing priors by posterior expectations in multiparameter exponential families ⋮ Bivariate distributions via a Pareto conditional distribution and a regression function ⋮ Characterizations of logarithmic series distrimtrans ⋮ Posterior mean identifies the prior distribution in NB and related models ⋮ Characterizations of mixtures of continuous distributions by their posterior means ⋮ On the issue of convergence of certain divergence measures related to finding most nearly compatible probability distribution under the discrete set-up ⋮ On compatibility/incompatibility of two discrete probability distributions in the presence of incomplete specification ⋮ On characterization of power series distributions by a marginal distribution and a regression function ⋮ A new conditional specification of the bivariate Poisson conditionals distribution1 ⋮ Discrete uniform mixtures via posterior means ⋮ Identifiability of modified power series mixtures via posterior means ⋮ Limit theorems for multivariate discrete distributions. ⋮ A complete characterization of bivariate densities using the conditional percentile function ⋮ An alternative approach for compatibility of two discrete conditional distributions ⋮ Characterization theorems for some discrete distributions based on conditional structure ⋮ On characterization and goodness-of-fit test of some discrete distribution families ⋮ On the Bayesian Estimation for the Uniform Scale Parameter via a Functional Equation ⋮ Characterizations of mixtures of discrete distributions by a regression point ⋮ Multivariate discrete distributions with a product-type dependence ⋮ Exact and near compatibility of discrete conditional distributions

Cites Work

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• A characterization of a bivariate distribution by the marginal and the conditional distributions of the same component
• ON CHARACTERIZING SOME BIVARIATE DISCRETE DISTRIBUTIONS
• On Some Bivariate Probability Models Applicable to Traffic Accidents and Fatalities
• On characterizing some discrete distributions by linear regression
• Identifiability of Mixtures

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