Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation

Abstract

In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative distribution function to derive the approximation of the failure (hazard) rate with a high level of accuracy. The superior performance of this method is shown by numerical simulations and comparison with the performance of other approximation methods.

Keywords

• saddlepoint approximations
• probability mass function
• probability distribution function
• Poisson random variable
• linear combination
• symmetry