A closed-form approximation for the median of the beta distribution

2011/11/02 by Jouni Kerman, Kerman, Jouni · 2 citations
Computer Science · Decision Sciences · Engineering · Mathematics · #Advanced Multi-Objective Optimization Algorithms #Control Systems and Identification #Probabilistic and Robust Engineering Design #math.ST #stat.CO #stat.TH

paper · pdf · doi:10.48550/arxiv.1111.0433

6 pages, 4 figures

arxiv created 2011/11/02 · arxiv updated 2011/11/03

Abstract

A simple closed-form approximation for the median of the beta distribution Beta(a, b) is introduced: (a-1/3)/(a+b-2/3) for (a,b) both larger than 1 has a relative error of less than 4%, rapidly decreasing to zero as both shape parameters increase.

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