Half Logistic NHE: Properties and Application
Ramesh Kumar Joshi · International Journal for Research in Applied Science and Engineering Technology · 2020
Nadarajah and Haghighi has defined the extension of the exponential distribution we have called this as NHE distribution.It is continuous probability distribution with a wide range of applications such as in life testing experiments, reliability analysis, applied statistics and clinical studies.However, it is not flexible enough for modeling heavily skewed datasets as compared to modified distributions.In this study, we have generated a new continuous distribution having three parameters based on the half logistic-Generating family called half logistic NHE.The structural properties of this model are explored such as the probability density, cumulative density, hazard rate, reversed hazard rate, and quantile functions.The model parameters are estimated using the three well-known methods namely maximum likelihood estimation (MLE), least-square estimation (LSE) and Cramer-Von-Mises (CVM) methods.Further, we have computed the Fisher information matrix and asymptotic confidence intervals for ML estimators.The potentiality of the proposed distribution is also evaluated by fitting it in contrast with some other existing distributions using a real life data.