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Exact confidence region for the parameters of the gamma distribution based on two independent samples
Authors:Zhenmin Chen  Jie Mi
Affiliation:1. Department of Statistics , Florida International University , University Park, Miami, FL, 33199, USA chenzh@fiu.edu;3. Department of Statistics , Florida International University , University Park, Miami, FL, 33199, USA
Abstract:The gamma distribution has been discussed by many authors. This article proposes an exact confidence region for the parameters of a two-parameter gamma distribution. The result is based on the fact that the percentiles of the F-distribution, with equal degrees of freedom k, are monotonic in k.
Keywords:Gamma distribution  Joint confidence region  Exact method
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