A New Two-Parameter Extension of Half-Logistic distribution: Properties, Applications and Different Method of Estimations

In this paper, we define a new two-parameter lifetime distribution, which is called the new Half- Logistic (NHL) distribution. Theoretical properties of this model, including the hazard function, quantile function, asymptotic, extreme value, moments, conditional moments, mean residual life, mean past lifetime, residual entropy, and order statistics, are derived and studied in detail. The maximum likelihood estimates of parameters are compared with various methods of estimation by conducting a simulation study. Finally, two real data sets illustrate the purposes.