On the lindley distribution and its applications
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ummto
Abstract
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.
Description
89f.:ill.;30cm
Keywords
Simulation, Random variable, Probability distribution, Survival function, Lindley distribution, Maximum likelihood estimation
Citation
Probabilité et statistique