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    A New Logarithmic Family of Distributions: Properties and Applications

    Yanping Wang1,2, Zhengqiang Feng1, Almaspoor Zahra3,*

    CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 919-929, 2021, DOI:10.32604/cmc.2020.012261

    Abstract In recent years, there has been an increased interest among the researchers to propose new families of distributions to provide the best fit to lifetime data with monotonic (increasing, decreasing, constant) and non-monotonic (unimodal, modified unimodal, bathtub) hazard functions. We further carry this area of research and propose a new family of lifetime distributions called a new logarithmic family via the T-X family approach. For the proposed family, explicit expressions for some mathematical properties along with the estimation of parameters through Maximum likelihood method are discussed. A sub-model, called a new logarithmic Weibull distribution is taken up. The proposed model… More >

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