泊松分布均值近似置信区间的准确性评估

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2020-02-13 DOI:10.22237/jmasm/1556668800

A. Shirvani, M. Fathizadeh

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引用次数: 0

摘要

泊松分布被用作分析计数数据的适当标准模型。由于这种分布被称为离散分布，因此其分布均值的精确置信区间的表示极其困难。给出了泊松分布平均值的近似置信区间。本研究的目的是根据平均覆盖概率和准确置信系数以及平均置信区间长度标准，同时比较所提出的几个置信区间。

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Assessing the Accuracy of Approximate Confidence Intervals Proposed for the Mean of Poisson Distribution

The Poisson distribution is applied as an appropriate standard model to analyze count data. Because this distribution is known as a discrete distribution, representation of accurate confidence intervals for its distribution mean is extremely difficult. Approximate confidence intervals were presented for the Poisson distribution mean. The purpose of this study is to simultaneously compare several confidence intervals presented, according to the average coverage probability and accurate confidence coefficient and the average confidence interval length criteria.

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来源期刊

Journal of Modern Applied Statistical Methods STATISTICS & PROBABILITY-

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Journal of Modern Applied Statistical Methods is an independent, peer-reviewed, open access journal designed to provide an outlet for the scholarly works of applied nonparametric or parametric statisticians, data analysts, researchers, classical or modern psychometricians, and quantitative or qualitative methodologists/evaluators.