Concomitants of Order Statistics from Morgenstern Family

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Concomitants of Order Statistics from Morgenstern Family

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dc.contributor.author Johny,Scaria
dc.contributor.author Unnikrishnan Nair,N
dc.date.accessioned 2008-05-26T06:53:05Z
dc.date.available 2008-05-26T06:53:05Z
dc.date.issued 2003
dc.identifier.uri http://dyuthi.cusat.ac.in/purl/68
dc.description.abstract The study deals with the distribution theory and applications of concomitants from the Morgenstern family of bivariate distributions.The Morgenstern system of distributions include all cumulative distributions of the form FX,Y(X,Y)=FX(X) FY(Y)[1+α(1-FX(X))(1-FY(Y))], -1≤α≤1.The system provides a very general expression of a bivariate distributions from which members can be derived by substituting expressions of any desired set of marginal distributions.It is a brief description of the basic distribution theory and a quick review of the existing literature.The Morgenstern family considered in the present study provides a very general expression of a bivariate distribution from which several members can be derived by substituting expressions of any desired set of marginal distributions.Order statistics play a very important role in statistical theory and practice and accordingly a remarkably large body of literature has been devoted to its study.It helps to develop special methods of statistical inference,which are valid with respect to a broad class of distributions.The present study deals with the general distribution theory of Mk, [r: m] and Mk, [r: m] from the Morgenstern family of distributions and discuss some applications in inference, estimation of the parameter of the marginal variable Y in the Morgestern type uniform distributions. en_US
dc.language.iso en en_US
dc.publisher Department of Statistics,Faculty of Science en_US
dc.subject Order statistics en_US
dc.subject Morgenstern family en_US
dc.subject Statistical inference en_US
dc.subject Bivariate distributions en_US
dc.title Concomitants of Order Statistics from Morgenstern Family en_US
dc.type Thesis en_US


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