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On a Two-Parameter Discrete Distribution and its Applications

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dc.contributor.author Chowdhury, Shovan
dc.contributor.author Mukherjee, Amitava
dc.contributor.author Nanda, Asok K
dc.date.accessioned 2016-05-27T06:35:43Z
dc.date.available 2016-05-27T06:35:43Z
dc.date.issued 2014
dc.identifier.uri http://hdl.handle.net/2259/716
dc.description 1 Department of Quantitative Methods and Operations Management, Indian Institute of Management Kozhikode; India 2 Department of Quantitative Methods and Information Systems, Indian Institute of Management Udaipur; India 3 Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, West Bengal, India en_US
dc.description.abstract Here we introduce two-parameter compounded geometric distributions with monotone failure rates. These distributions are derived by compounding geometric distribution and zero-truncated Poisson distribution. Some statistical and reliability properties of the distributions are investigated. Parameters of the proposed distributions are estimated by the maximum likelihood method as well as through the minimum distance method of estimation. Performance of the estimates by both the methods of estimation are compared based on Monte-Carlo simulations. An illustration with Air Crash casualties demonstrates that the 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/144/QMOM/2014/02
dc.subject Compounding; Geometric Distribution en_US
dc.subject Hazard rate function en_US
dc.subject Maximum likelihood estimation en_US
dc.subject Method of minimum distance en_US
dc.subject Monte-Carlo en_US
dc.subject Zero-Truncated Poisson Distribution en_US
dc.title On a Two-Parameter Discrete Distribution and its Applications en_US
dc.type Working Paper en_US

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