The probability of a confidence interval based on minimal estimates of the mean and the standard deviation
type: Item
instance of: scholarly article
title: The probability of a confidence interval based on minimal estimates of the mean and the standard deviation
zbMATH Open document ID: 1266.86005
DOI: 10.1155/2013/131424
author: Louis M. Houston
published in: Journal of Applied Mathematics
publication date: 2013-06-14T00:00:00Z
review text: Summary: Using two measurements, we produce an estimate of the mean and the sample standard deviation. We construct a confidence interval with these parameters and compute the probability of the confidence interval by using the cumulative distribution function and averaging over the parameters. The probability is in the form of an integral that we compare to a computer simulation.
Mathematics Subject Classification ID: 86A32
zbMATH DE Number: 6175733
Wikidata QID: Q59001710
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/131424
OpenAlex ID: W2109105311
cites work: The probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean
cites work: Q4181003
DBLP publication ID: journals/jam/Houston13
description: scientific article