Beta half logistic distribution – A new probability model for lifetime data

Abstract

Introducing a new flexible model for lifetimes called Beta half Logistic distribution by compounding the Beta distribution and half logistic distributions, we explore its analytical characteristics and statistical properties. The maximum likelihood estimates of the model parameters are discussed and the usefulness of the new model is illustrated by means of data on remission times of bladder cancer patients.

Keywords:

• Life time distribution
• Half-logistic distribution
• Beta half-logistic distribution maximum likelihood estimation