Uniformly Shifted Exponential Distribution

Author:

Alzaid Abdulhamid. A.1ORCID,Qarmalah Najla2ORCID

Affiliation:

1. Department of Statistics and Operations Research, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

The use of life distributions has increased over the past decade, receiving particular attention in recent years, both from a practical and theoretical point of view. Life distributions can be used in a number of applied fields, such as medicine, biology, public health, epidemiology, engineering, economics, and demography. This paper presents and investigates a new life distribution. The proposed model shows favorable characteristics in terms of reliability theory, which makes it competitive against other commonly used life distributions, such as the exponential, gamma, and Weibull distributions. The methods of maximum likelihood and moments are used to estimate the parameters of the proposed model. Additionally, real-life data drawn from different fields are used to illustrate the usefulness of the new distribution. Further, the R programming language is used to perform all computations and produce all graphs.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Reference21 articles.

1. Lawless, J.F. (2011). Statistical Models and Methods for Lifetime Data, John Wiley & Sons.

2. Statistical methods in reliability;Lawless;Technometrics,1983

3. Marshall, A.W., and Olkin, I. (2007). Life Distributions, Springer.

4. Johnson, N.L., Kotz, S., and Balakrishnan, N. (1995). Continuous Univariate Distributions, Volume 2, John Wiley & Sons.

5. Shaked, M., and Shanthikumar, J.G. (2007). Stochastic Orders, Springer.

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