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Compounded Generalized Weibull Distribution- A Unified Approach

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dc.contributor.author Chowdhury, Shovan
dc.date.accessioned 2016-05-27T06:46:20Z
dc.date.available 2016-05-27T06:46:20Z
dc.date.issued 2014-03
dc.identifier.uri http://hdl.handle.net/2259/718
dc.description 1 Department of Quantitative Methods and Operations Management, Indian Institute of Management; Kozhikode; India en_US
dc.description.abstract A uni ed approach is proposed in this paper to study a family of lifetime distribu- tions of a system consisting of random number of components in series and in parallel. While the lifetimes of the components are assumed to follow generalized (exponentiated) Weibull dis- tribution, a zero-truncated Poisson is assigned to model the random number of components in the system. The resulting family of compounded distributions describes several well-known distributions as well as some new models with some of their statistical and reliability properties. Various ageing classes of life distributions including increasing, decreasing, bath-tub, upside-down-bathtub and roller coaster shaped failure rates are covered by the family of compounded distributions. The simplest algorithm for maximum likelihood method of estimation of the model parameters is discussed. Some numerical results are obtained via Monte-Carlo Simulation. The asymptotic variance-covariance matrices of the estimators are also obtained. Five di erent real data sets are used to validate the distributions and the results demonstrate that the family of distributions can be considered as a suitable model under several real situations. en_US
dc.language.iso en en_US
dc.publisher Indian Institute of Management Kozhikode en_US
dc.relation.ispartofseries ;IIMK/WPS/148/QM&OM /2014/06
dc.subject Unified approach en_US
dc.subject Compounding en_US
dc.subject Generalized Weibull Distribution en_US
dc.subject Hazard Function en_US
dc.subject ML Estimation en_US
dc.subject Zero-Truncated Poisson Distribution en_US
dc.title Compounded Generalized Weibull Distribution- A Unified Approach en_US
dc.type Working Paper en_US

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