Bathtub-shaped Hazard Function Research Articles

A Lifetime Distribution With an Upside-Down Bathtub-Shaped Hazard Function

A three-parameter lifetime distribution with increasing, decreasing, bathtub, and upside down bathtub shaped failure rates is introduced. The new model includes the Weibull distribution as a special case. A motivation is given using a competing risks interpretation when restricting its parametric space. Various statistical properties, and reliability aspects are explored; and the estimation of parameters is studied using the standard maximum likelihood procedures. Applications of the model to real data are also included

Statistical procedures for the exponential power distribution

The exponential power distribution is an extreme-value type model which can assume a bathtub-shaped hazard function. It is useful in modeling the lifetimes of a wide variety of electronic as well as certain mechanical components. Statistical procedures for the exponential power distribution, including maximum likelihood estimators, least-squares parameter estimators, and Kolmogorov-Smirnov goodness-of-fit tests are developed. Numerical examples are illustrated along with computer code.