On the Characterization of a Family of Distributions by the Property of Independence of Statistics

1974 ◽  
Vol 18 (3) ◽  
pp. 608-611 ◽  
Author(s):  
L. B. Klebanov
Keyword(s):  
Family Of Distributions

Characterization of the Pearson family of distributions

1991 ◽  
Vol 40 (1) ◽  
pp. 75-77 ◽  
Author(s):  
N.U. Nair ◽  
P.G. Sankaran
Keyword(s):  
Family Of Distributions ◽  
Pearson Family

A Characterization of One-Parameter Exponential Family of Distributions

1993 ◽  
Vol 43 (3-4) ◽  
pp. 253-256 ◽  
Author(s):  
P. N. Jani
Keyword(s):  
Power Series ◽  
Exponential Family ◽  
Exponential Family Of Distributions ◽  
Power Series Distributions ◽  
Family Of Distributions

A characterization through moments given by Khatri (1959) for power series distributions (p. s. d.) and by Ahsanullah (1992) for modified power series distributions (m.p.s.d.) bas been extended for the wider class viz one-parameter exponential family of distributions.

On Characterization of Multiparameter Exponential Family and of some Irregular Families of Distributions

1996 ◽  
Vol 46 (1-2) ◽  
pp. 9-22
Author(s):  
P. N. Jani ◽  
A. K. Singh
Keyword(s):  
Exponential Family ◽  
Exponential Families ◽  
Exponential Family Of Distributions ◽  
Multivariate Exponential ◽  
Family Of Distributions

A characterization through moments given by Khatri (1959) for p.s.d. and by Jani (1993) for one-parameter exponential family has been extended for the wider class viz. multiparameter and multivariate exponential family of distributions. The same problem has beon studied also for some non-exponential families where the support contains the parameter(s), called irregular families of distributions.

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