E-Bayesian estimation for system reliability and availability analysis based on exponential distribution

ABSTRACT

The main purpose of this article is to introduce the E-Bayesian approach to gain flexibility in the reliability-availability system estimation. This approach will be used in series systems, parallel systems, and k-out-of-m systems, based on exponential distribution under squared error loss function, when time is continuous. We use three prior distributions to investigate its impact on the E-Bayesian approach, those prior distributions cover a big spectrum of possibilities. We show in real examples and also by simulations, how the procedure behaves. In the simulation study also we explore the impact on this estimation approach, when the number of components of the system increases.

KEYWORDS:

• E-Bayesian
• Mellin transform
• System availability
• System reliability

MATHEMATICS SUBJECT CLASSIFICATION:

• 62NXX
• 62N05

Acknowledgments

The authors thank the referees for their helpful remarks that improved the original manuscript and also Ramin Gholizadeh heartily thanks the generous support of CAPES-Brazil.