Independence of an Equivariant and Invariant Functions in Generalized Normal Family
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Abstract:
In this paper we explain a necessary and sufficent condition for independence between any arbitrary statistics with sufficient statistics which is also maximum likelihood estimator in a general exponential family with location and scale parameter namely generalized normal distribution. At the end, it is shown that the converse is true except in the asymptotic cases.
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Journal title
volume 23 issue 1
pages 13- 19
publication date 2018-09
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