Browsing by Author "Naturinda, Evalyne"

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    On the lindley distribution and its applications
    (ummto, 2023) Naturinda, Evalyne
    Probability distributions are commonlyapplied to describe real phenomenaand are oftenused in severalfieldssuch as economics, biology and medicine.There are severalprobability distributions. In thisthesiswestudy the Lindleydistribution with one parameter, Lindley distribution withtwoparameters aswell as the two-parameterweightedLindley distribution. Wealso explore thefundamentalproperties of the Lindley distribution, includingitsprobabilitydensityfunction, cumulative distribution function, survival and hazard ratefunction, moments, characteristicfunction, moment generatingfunction, etcand explores parameter estimation methods, includingmethod of moments,maximum likelihood and Bayesianapproaches as well. Finally applications ofLindley distribution to different real data sets and simulated data.