Μεικτές κατανομές Poisson
Mixed Poisson distributions
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Keywords
Μεικτές κατανομές ; Κατανομές Poisson ; PoissonAbstract
In this diploma thesis, we examine the family of mixed Poisson distributions and its applications in actuarial science. The dissertation consists of three chapters. The first chapter introduces the mixture of distributions and some of their basic characteristics. Also we give the main models of discrete and continuous distributions which will concern us in the following chapters. In the second chapter we present mixed Poisson distributions, give a series of their characteristic properties as well as a detailed presentation of basic models of mixed Poisson distributions. Finally, in the third chapter, with the help of the R programming language, some of the mixed Poisson distributions are fitted on real data and draw certain conclusions.