Mathematical Approximation of Single and Double-Sided Truncated Normal Distribution Using Logistic Function

Authors

DOI:

https://doi.org/10.23055/ijietap.2019.26.6.3344

Keywords:

Cumulative probability function, logistic distribution, logistic function, normal distribution, mathematical approximation, and truncated normal distribution.

Abstract

This article provides a mathematical approximation model of the general double-sided truncated normal distribution. The right and left-sided cases are included in the model as special cases. The double-sided truncated normal distribution is important for many applications in industrial and systems engineering. For example, in quality control, production engineers maybe interested in scrapping the unfit products. The distribution of product variations after this scrapping is basically double-sided truncated normal distribution. A full analysis of deviation of the introduced approximation’s results from the actual results is provided. Further, recommendations for the use of the model are provided.

Author Biography

Mohammad Hamasha, The Hashemite University

Mohammad M. Hamasha, Ph.D. Assistant Professor Department of Industrial EngineeringCollage of EngineeringThe Hashemite UniversityZarqa, JordanEmail: mhamasha@hu.edu.joCell Phone: 00962776525002

Published

2020-01-05

How to Cite

Hamasha, M. (2020). Mathematical Approximation of Single and Double-Sided Truncated Normal Distribution Using Logistic Function. International Journal of Industrial Engineering: Theory, Applications and Practice, 26(6). https://doi.org/10.23055/ijietap.2019.26.6.3344

Issue

Section

Statistical Analysis