Read e-book online Statistical Inference Based on Divergence Measures PDF

By Leandro Pardo

the assumption of utilizing functionals of data thought, similar to entropies or divergences, in statistical inference isn't new. in spite of the fact that, although divergence information became a great substitute to the classical probability ratio try out and the Pearson-type statistic in discrete versions, many statisticians stay ignorant of this strong approach.

Statistical Inference in line with Divergence Measures explores classical difficulties of statistical inference, resembling estimation and speculation trying out, at the foundation of measures of entropy and divergence. the 1st chapters shape an summary, from a statistical point of view, of an important measures of entropy and divergence and learn their houses. the writer then examines the statistical research of discrete multivariate info with emphasis is on difficulties in contingency tables and loglinear versions utilizing phi-divergence attempt information in addition to minimal phi-divergence estimators. the ultimate bankruptcy seems at checking out in most cases populations, featuring the attention-grabbing risk of introducing substitute try information to classical ones like Wald, Rao, and chance ratio. each one bankruptcy concludes with workouts that make clear the theoretical effects and current extra effects that supplement the most discussions.

Clear, complete, and logically built, this e-book bargains a special chance to realize not just a brand new standpoint on a few typical records difficulties, however the instruments to place it into practice.

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Statistical Inference Based on Divergence Measures (Statistics: A Series of Textbooks and Monographs) by Leandro Pardo

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