Estimating confidence interval of mean using classical, Bayesian, and Bootstrap approaches

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Solimun

2014 International Journal of Mathematical Analysis Vol. 8 Issue 45-48 Article Cited by 1

Abstract

In one study, sometimes observed the characteristics of a population (eg the median, variance, median, or proportion). Given the limitations and constraints, it is not possible to observe the whole of the population elements. Alternative estimation step is performed using a population sample drawn at random from a population. In this study, the median interval estimation of the population (ρ). There are three methods that will be studied is the classical method, Bayes approach, and a bootstrap approach. This study focused on estimating means using the third approach and compare the results obtained from the three approaches. Test results using the data of the population obtained an estimate of the value of the middle third population is relatively the same method, in which the bootstrap method produces the smallest confidence interval. © 2014 Solimun.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Jalan Veteran Malang, Indonesia