American journal of mathematics and statistics · 2012 · 28 citations · 10 references
Natural SciencesCivil EngineeringMathematicsBayesian Data AnalysisProbability TheoryStatisticsBayesian Survival AnalysisProbabilistic ModelingProbability DistributionsReliability ModelingReliability-based DesignSurvival FunctionsFailure ProbabilityLifetime DistributionsLifetime EstimationMaximum Likelihood InferenceMethod Of Maximum LikelihoodProbabilistic Reliability ModelingReliability FunctionStatistical Reliability Analysis
<b> </b>In this paper, the discrete Burr type III distribution is introduced using the general approach of discretizing a continuous distribution and proposed it as a suitable lifetime model. The equivalence of continuous and discrete Burr type III distribution is established. Some important distributional properties and estimation of the parameters, reliability, failure rate and the second rate of failure functions are discussed based on the maximum likelihood method and Bayesian approach.
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Discrete Rayleigh Distribution
Dibyendu Roy · IEEE Transactions on Reliability · 2004 · 230 citations
Engineering, Industrial Engineering, Maintenance Engineering +12
The Discrete Normal Distribution
Dilip Roy · Communication in Statistics- Theory and Methods · 2003 · 177 citations