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A Bayesian Look at Classical Estimation: The Exponential Distribution

2001/01/01 by Abdulaziz Elfessi, Markus Reineke · 1 citation
Mathematics · Decision Sciences · #Statistics Education and Methodologies #Advanced Statistical Process Monitoring

paper · pdf · doi:10.1080/10691898.2001.11910648

openalex publication_date 2001/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Many undergraduate students are introduced to frequentist or classical methods of parameter estimation such as maximum likelihood estimation, uniformly minimum variance unbiased estimation, and minimum mean square error estimation in a reliability, probability, or mathematical statistics course. CitationRossman, Short, and Parks (1998) present some thought provoking insights on the relationship between Bayesian and classical estimation using the continuous uniform distribution. Our aim is to explore these relationships using the exponential distribution. We show how the classical estimators can be obtained from various choices made within a Bayesian framework.

Citations

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