A basic statistical problem: Confidence interval for the Bernoulli parameter
type: Item
instance of: scholarly article
title: A basic statistical problem: Confidence interval for the Bernoulli parameter
zbMATH Open document ID: 0587.62073
DOI: 10.1016/0167-9473(85)90067-2
author: Andrzej Matuszewski
author: David Sotres
published in: Computational Statistics and Data Analysis
publication date: 1985-01-01T00:00:00Z
review text: This paper summarizes and compares in a unified way 11 different methods (obtained through Neyman, Bayesian or fiducial approach) proposed in the literature for setting confidence intervals (CI) for the parameter \(\pi\in [0,1]\) of the Bernoulli distribution based on a random sample \(X_ 1,...,X_ n\) from this distribution, i.e., \(P(X_ i=1)=\pi =1- P(X_ i=0)\), \(1\leq i\leq n\). Based on this comparison, a practical procedure for obtaining a CI for \(\pi\) is proposed.
Mathematics Subject Classification ID: 62F25
Mathematics Subject Classification ID: 62F15
zbMATH DE Number: 3942758
zbMATH Keywords: Neyman
zbMATH Keywords: fiducial approach
zbMATH Keywords: confidence intervals
zbMATH Keywords: Bernoulli distribution
zbMATH Keywords: comparison
MaRDI profile type: Publication
full work available at URL: 0167-9473(85)90067-2
OpenAlex ID: W2044239704
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description: scientific article; zbMATH DE number 3942758