scholarly journals Optimal “Anti-Bayesian” Parametric Pattern Classification for the Exponential Family Using Order Statistics Criteria

Author(s):  
A. Thomas ◽  
B. John Oommen
1977 ◽  
Vol 14 (04) ◽  
pp. 806-816
Author(s):  
Robert H. Berk

For independent random variablesXandY,if the conditional distribution ofXgivenX+Ysatisfies certain conditions, then the joint distribution ofXandYis a member of a certain one-parameter exponential family. Extensions fornindependent random variables are given. A characterization for independent random variables involving order statistics is also given.


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