Approximating the Normal Sample Median Distribution in Process Control-Reference-Cited by-同舟云学术

Approximating the Normal Sample Median Distribution in Process Control

Published:2021-04-02 Issue:0 Volume:0 Page:
ISSN:2367-2404
Container-title:Stochastics and Quality Control
language:en
Short-container-title:

Author:

Leung Char¹^ORCID

Affiliation:

1. Deakin University , 22 Burwood Highway , Burwood , 3125 , Australia

Abstract

Abstract The present work aims to propose an approximation of the sample median distribution with a normal parent distribution. Although the mean is usually used as the central tendency measure for normal samples, the median has also been used in engineering, process control in particular. The proposed method approximates the normal sample median distribution only using the normal distribution function. It outperforms Castagliola’s method for small samples and serves as an alternative approximation for trading off accuracy against computational complexity for large samples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Safety, Risk, Reliability and Quality,Statistics and Probability

Reference12 articles.

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