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On the relationship between the Poisson-exponential model and the non-central chi-squared distribution
Authors:M C Jones
Institution:Department of Statistics , University of Birmingham , P.O. Box 363, Birmingham , B15 2TT , UK
Abstract:Abstract

Two comments are made on the relationship between the Poisson-exponential model of insurance claims and the non-central chi-squared distribution. The first relates the Poisson-exponential to the recently introduced noncentral chi-squared on zero degrees-of-freedom; the second expands on the link between that distribution and the non-central chi-squared distribution on four degrees-of-freedom, noted by Boyle (1978).
Keywords:
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