Modelling and Interpreting of Exponentiated Stretched Exponential Distribution

Abstract

An innovative model titled as Exponentiated stretched exponential distribution is introduced. The main statistical properties of subject distribution are derived and special models are particularized. The most general technique of maximum likelihood estimation is focused to obtain the parameter estimates of new innovative model. A simulation study is presented to evaluate the behavior of the proposed estimators. Asymptotic confidence intervals for unknown parameters of new model are also suggested. The characterization of model is also checked. The competency of the subject distribution is demonstrated by fitting four real data sets through evaluation criteria.

Keywords

• Exponentiation
• Quantile function
• Characterization
• Simulation
• Evaluation criteria

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