On the Generalized Arcsine Probability Distribution with Bounded Support
Rami AlAhmad
TL;DR
This paper introduces a generalized arcsine probability distribution with bounded support, exploring its properties through beta functions to establish foundational results for this new distribution.
Contribution
It defines a new generalized arcsine distribution with bounded support and investigates its properties using beta functions, expanding the theoretical understanding of such distributions.
Findings
Derived properties of the distribution using beta functions
Established foundational results for the generalized arcsine distribution
Provided mathematical characterization of the distribution's properties
Abstract
Properties of the beta functions are investigated. We define the generalized arcsine probability distribution with bounded support. The properties of the beta functions prove some results for this distribution.
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Taxonomy
TopicsAdvanced Statistical Methods and Models · Bayesian Methods and Mixture Models · Statistical Distribution Estimation and Applications