On χ2-test of goodness-of-fit for a class of discrete multivariate models |
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Authors: | Åke Svensson |
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Institution: | Institute of Mathematical Statistics, University of Stockholm, Box 6701, S-113 85 Stockholm, Sweden |
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Abstract: | A model for an n-dimensional random vector which is the sum of v i.i.d. random variables with an exponential family distribution is considered. It is shown that the exact test can be approximated by a χ2-test as v → ∞. As an example a goodness-of-fit test for Poisson-distribution based on observed frequencies is derived. |
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Keywords: | exact test goodness-of-fit exponential families |
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