A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, a new family of distributions is introduced which is called alpha log-transformation family.
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Key Findings & Data:Several properties of the proposed distribution including the raw moments, moment generating function, quantile function and hazard rate function are obtained.
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Conclusion & Impact:A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Con fidence intervals · Estimation · Fisher information
Abstract
In this study, a new family of distributions is introduced which is called alpha log-transformation family. We consider a special case of this family with exponential distribution in details. Several properties of the proposed distribution including the raw moments, moment generating function, quantile function and hazard rate function are obtained. Statistical inference is discussed based on complete and progressive censored samples. Simulation study is also performed to observe the performance of the estimates and approximate con fidence intervals. A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.
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