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:: Volume 23, Issue 1 (9-2018) ::
Andishe 2018, 23(1): 13-19 Back to browse issues page
Independence of an Equivariant and Invariant‎ Functions in Generalized Normal Family‎
Mehdi Shams *
University of Kashan
Abstract:   (2686 Views)

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.

Keywords: Basu's theorem‎, Exponential Family‎, Location and Scale Parameters‎.
Full-Text [PDF 281 kb]   (845 Downloads)    
Type of Study: Research | Subject: Special
Received: 2017/02/14 | Accepted: 2018/12/14 | Published: 2018/12/25
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Shams M. Independence of an Equivariant and Invariant‎ Functions in Generalized Normal Family‎. Andishe 2018; 23 (1) :13-19
URL: http://andisheyeamari.irstat.ir/article-1-474-en.html


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Volume 23, Issue 1 (9-2018) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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