Summary
The Poisson distribution enjoys several convenient statistical properties. It is additive and complete; it possesses a sufficient statistic. Its exponential structure permits the construction of “exact” conditional tests. This paper discusses how these properties can be exploited in developing useful statistical methods. Part I contains the derivation of conditional tests of the Poisson based on the variance and the third and fourth sample cumulants. The “variance” test is also extended to case of left-truncated samples. In Part II significance tests for cross-product ratios of Poisson means are derived. All the methods are illustrated with practical examples in biomedical research.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Gart, J.J. (1975). The Poisson Distribution: The Theory and Application of Some Conditional Tests. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1845-6_11
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DOI: https://doi.org/10.1007/978-94-010-1845-6_11
Publisher Name: Springer, Dordrecht
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