Inferential study on lifetime performance index with generalized inverted exponential model under progressive first-failure censoring

  • Huijun Yi Department of Mathematics and Statistics, Troy University, Troy, Alabama, USA
  • Danush K. Wijekularathna Department of Mathematics and Statistics, Troy University, Troy, Alabama, USA
DOI: https://doi.org/10.19139/soic-2310-5070-2155
Keywords: Generalized inverted exponential distribution; Maximum likelihood estimate; Bayesian inference; Monte Carlo simulation

Abstract

Lifetime performance assessment is widely used in quality control of the manufacturing industry. This paper focuses on the progressively first-failure-censored data coming from the generalized inverted exponential distribution. We present the maximum likelihood estimate and the Bayesian estimate for the lifetime performance index (CL) for a given lower specification level L. The results are used to develop non-Bayesian and Bayesian inferences to determine whether the product performance meets the required level. A Monte Carlo simulation and two real data examples are discussed for illustration purposes.
Published
2024-10-31
How to Cite
Yi, H., & Wijekularathna, D. K. (2024). Inferential study on lifetime performance index with generalized inverted exponential model under progressive first-failure censoring. Statistics, Optimization & Information Computing, 13(1), 1-26. https://doi.org/10.19139/soic-2310-5070-2155
Issue
Vol 13 No 1 (2025)
Section
Research Articles
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