Weighted Entropic and Divergence Models in Probability Spaces and Their Solicitations for Influencing an Imprecise Distribution

Om Parkash (), Vikramjeet Singh and Retneer Sharma
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Om Parkash: Graphic Era Deemed to Be University
Vikramjeet Singh: I. K. Gujral Punjab Technical University
Retneer Sharma: Guru Nanak Dev University

A chapter in Reliability Engineering for Industrial Processes, 2024, pp 213-229 from Springer

Abstract: Abstract It is renowned rationality that an assortment of parametric and non-parametric information models is extraordinarily manageable however there is unavoidability to create accompanying revolutionary models to intensify their applications in a variety of disciplines. On the other hand, the theoretical observation around the “maximum entropy principle” indicates that it contributes through meaningful accountability for the knowledge of plentiful optimization problems connected using the information-theoretic models comprising entropy and divergence models. Additionally, the perception of weighted information has been ascertained to be extraordinarily fruitful because of its connotation in objective-oriented experiments. The current paper is a phase in the direction of mounting two newfangled discrete weighted models in the probability spaces and constructing the learning of this principle in approximating a probability distribution. With the support of these discrete weighted models, the “maximum entropy principle” has been validated.

Keywords: Entropic models; Divergence models; Partial information; Weighted measures; Concavity; Convexity; Symmetry; Expansibility (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-031-55048-5_15

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DOI: 10.1007/978-3-031-55048-5_15

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