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Inference for the Bivariate and Multivariate Hidden Truncated Pareto(type II) and Pareto(type IV) Distribution and Some Measures of Divergence Related to Incompatibility of Probability Distribution
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Ghosh, Indranil – ProQuest LLC, 2011
Consider a discrete bivariate random variable (X, Y) with possible values x[subscript 1], x[subscript 2],..., x[subscript I] for X and y[subscript 1], y[subscript 2],..., y[subscript J] for Y. Further suppose that the corresponding families of conditional distributions, for X given values of Y and of Y for given values of X are available. We…
Descriptors: Information Theory, Models, Programming, Mathematical Applications
An Alternative Version of Conditional Probabilities and Bayes' Rule: An Application of Probability Logic
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Satake, Eiki; Amato, Philip P. – AMATYC Review, 2008
This paper presents an alternative version of formulas of conditional probabilities and Bayes' rule that demonstrate how the truth table of elementary mathematical logic applies to the derivations of the conditional probabilities of various complex, compound statements. This new approach is used to calculate the prior and posterior probabilities…
Descriptors: Mathematical Logic, Probability, Mathematics Instruction, Statistics