Compound mixed Poisson distributions I |
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| Authors: | Saralees Nadarajah Samuel Kotz |
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| Institution: | 1. Department of Statistics , University of Nebraska , Lincoln, NE, 68583Saralees.Nadarajah@manchester.ac.uk;3. Department of Engineering Management and Systems Engineering , The George Washington University , Washington, DC, 20052 |
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| Abstract: | The concept of compound mixed Poisson distributions in actuarial science is used to represent such variables as the total amount of claims or losses payable by an insurer. In this paper, comprehensive collections of approximate forms are derived for the compound mixed Poisson distribution. The calculations involve use of several special functions and their properties. We believe that the results will serve as an important reference in actuarial science. |
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| Keywords: | Poisson distribution compound mixed Poisson distribution |
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