Titlebook: Extremal Families and Systems of Sufficient Statistics; Steffen L. Lauritzen Book 1988 Springer-Verlag Berlin Heidelberg 1988 Likelihood.M

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Extremal Families and Systems of Sufficient Statistics978-1-4612-1023-8Series ISSN 0930-0325 Series E-ISSN 2197-7186

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Book 1988se). In usual textbooks on mathematical statistics it is often so that the statistical model is given in advance and then various in­ ference principles are applied to deduce the statistical ana­ lysis to be performed. It is however possible to reverse the above procedure: given that one wants to pe

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Trang Thi Thu Pham,Nobuaki Matsunaga where vector spaces have been used. We show in section 4 that most results about estimation in exponential families carry over to the more general notion, in a more streamlined fashion, since usual problems with existence of maximum likelihood estimates are avoided. The first section is a compact description of the basic semigroup theory needed.

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