Bayes estimators for the parameters of truncated Campbell distribution using Lindley's approximation

  • Najm Abed Oleiwi Department of Mathematics, Education College, University of Sumer, Iraq
  • Emad Farhood ThiQar Technical College, Southern Technical University, ThiQar, Iraq.
  • Najlaa. A. Al-khairullah Department of Mathematics, Education College, University of Sumer, Iraq
DOI: https://doi.org/10.19139/soic-2310-5070-2423
Keywords: Campbell distribution, Truncated Campbell distribution, Maximum likelihood estimates, Bayesian estimation, Lindley's approximation.

Abstract

In this research, the Campbell distribution (maximum value) was truncated by deleting a part of the distribution domain so that the distribution function maintains its probability properties, to obtain the truncated Campbell distribution (maximum value) (TC). Also, the maximum likelihood function (MLE) and Bayes estimators for the scale and location parameters were derived using Lindley approximation with taking different loss functions, which are the squared loss function (SEL) and the general entropy function (GEL). We also used the simulation method to generate many sample sizes (n= 10, 60, 120, 150) with many different values ​​of the scale parameter and the location parameter, and the estimators were compared using the mean square error (MSE) measure.
Published
2025-09-22
How to Cite
Oleiwi, N. A., Farhood, E., & Al-khairullah, N. A. (2025). Bayes estimators for the parameters of truncated Campbell distribution using Lindley’s approximation. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2423
Issue
Online First
Section
Research Articles
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