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ON CONSTRUCTING THE NATURAL EXPONENTIAL FAMILIES WITH POLYNOMIAL VARIANCE FUNCTIONS

作者姓名：	吴传义

作者单位：	Institute of

摘要：	In this paper,we discuss the regular exponential family(REF),a natural exponentialfamily with minimum dimension and with the mean function m=E_θX taken as a new parameter.Wepoint out the importance of the REF with polynomial variance function(PVF-REF).When m is asingle factor of PVF and the left end of its defined domain is zero,the corresponding REF is givenas the single-side lattice distribution family;other PVF-REFs can be obtained by a limit process.As an illustration,the results for all seven cases of polynomial variance functions of third degreeare given.
ON CONSTRUCTING THE NATURAL EXPONENTIAL FAMILIES WITH POLYNOMIAL VARIANCE FUNCTIONS

Wu Chuanyi.ON CONSTRUCTING THE NATURAL EXPONENTIAL FAMILIES WITH POLYNOMIAL VARIANCE FUNCTIONS[J].Journal of Systems Science and Complexity,1990(2).

Authors:	Wu Chuanyi

Abstract:

Keywords:	Regular exponential family polynomial variance function
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