Jeevanand, E S; Dr.Unnikrishnan Nair, N(December 20, 1993)
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Abstract:
This thesis Entitled Bayesian inference in Exponential and pareto populations in the presence of outliers. The main theme of the present thesis is focussed on various estimation problems using the Bayesian appraoch, falling under the general category of accommodation procedures for analysing Pareto data containing outlier. In Chapter II. the problem of estimation of parameters in the classical Pareto distribution specified by the density function. In Chapter IV. we discuss the estimation of
(1.19) when the sample contain a known number of outliers under three different data generating mechanisms, viz. the exchangeable model. Chapter V the prediction of a future observation based on a random sample that contains one contaminant. Chapter VI is devoted to the study of estimation
problems concerning the exponential parameters under a k-outlier model.
Description:
Department of
Mathematics and Statistics, Cochin University of Science
and Technoloy
Sunoj, S M; Unnikrishnan Nair, N(Taylor & Francis, August 24, 2002)
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Abstract:
In this paper the class of continuous bivariate distributions that has form-invariant weighted distribution with weight
function w(x1, x2) ¼ xa1
1 xa2
2 is identified. It is shown that the class includes some well known bivariate models.
Bayesian inference on the parameters of the class is considered and it is shown that there exist natural conjugate
priors for the parameters