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An Investigation into Properties of an Estimator of Mean of an Inverse Gaussian Population


An Investigation into Properties of an Estimator of Mean of an Inverse Gaussian Population

Chaubey, Yogendra P. and Sen, Debaraj (2004) An Investigation into Properties of an Estimator of Mean of an Inverse Gaussian Population. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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This paper deals with preliminary test estimation for mean of an inverse Gaussian population. Preliminary test estimator has been shown to provide large gains in efficiency, especially around a neighbourhood of the prior guessed value of the parameter, for many distributions including exponential and normal, however, this has not been explored for the inverse Gaussian family of distributions. Owing to diverse applications of the inverse Gaussian model for non-negative and positively skewed data, the investigation considered here makes an important contribution in the area of preliminary test estimation. We consider both the cases of known and unknown dispersion parameters and demonstrate similar conclusions as obtained in the case of Gaussian populations in terms of the efficiency of the resulting estimator.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Chaubey, Yogendra P. and Sen, Debaraj
Series Name:Department of Mathematics & Statistics. Technical Report No. 7/04.
Corporate Authors:Concordia University. Depatment of Mathematics & Statistics
Institution:Concordia University
Date:September 2004
Keywords:Minimum mean square error, preliminary test estimator, inverse Gaussian population, relative bias, relative mean square error
ID Code:6649
Deposited On:02 Jun 2010 16:14
Last Modified:08 Dec 2010 23:26
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