A Note on the Non-Existence of Subset Selection Procedure for Poisson Populations.
PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS
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The problem of selecting a subset of k Poisson populations, which includes the one having the largest value of the parameter, is considered. The subset selection procedures for location and scale parameters are investigated and it is shown that both these procedures do not exist for some values of P. If unrestricted sampling is allowed, the subset selection procedure for smallest of the scale parameter of Gamma populations with some shape parameter can be used. A criterion is suggested to chose the shape parameter for this procedure which puts a bound in probability on the sampling costs. Author
- Statistics and Probability