A weighted-Weibull distribution: Properties and applications

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL(2024)

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摘要
The paper describes a two parameter model and its relationship to the widely used Weibull model. Mathematical properties of the distribution like survival and hazard functions, moments, harmonic and geometric means, Shannon entropy and mean residual life are derived. Different methods of estimation are discussed and a simulation study is performed to verify the efficiency of estimation methods. Applications of our distribution in different scenarios observed in real life are illustrated.
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关键词
brittle strength data,dirichlet eta function,failure data,maximum likelihood estimation,Weibull distribution,wind speed data
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