Confidence Interval for the Mean of a Bounded Random Variable and Its Applications in Point Estimation

2008/02/23 by Xinjia Chen, Chen, Xinjia · 2 citations
Engineering · Mathematics · #Applications (stat.AP) #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Mixing #Heat Transfer and Boiling Studies #Probability (math.PR) #Statistics Theory (math.ST) #math.PR #math.ST #stat.AP #stat.TH

paper · pdf · doi:10.48550/arxiv.0802.3458

7 pages, no figure; added proof of Theorem 2

openalex publication_date 2008/02/23 · arxiv created 2010/11/25 · arxiv updated 2010/11/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, we derive an explicit formula for computing confidence interval for the mean of a bounded random variable. Moreover, we have developed multistage point estimation methods for estimating the mean value with prescribed precision and confidence level based on the proposed confidence interval.

Cited by

• Sequential Estimation Methods from Inclusion Principle
• Asymptotically Optimal Sequential Estimation of the Mean Based on Inclusion Principle

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