Η κατανομή Maxwell και συναφείς κατανομές στην αναλογιστική επιστήμη
The Maxwell and related distributions in actuarial science
SubjectΚατανομή (Οικονομική θεωρία)
In the present thesis we examine, in detail, various continuous distributions which are used as models in actuarial science. More specifically, we use the Mathematica, R and other programs to show the most popular distributions in the insurance sector and we are capable of understanding their applications. In a wider context, we analyzed the Maxwell Boltzmann distribution, which is in an initial stage of its application in actuarial science in life portfolios. Moreover, we present in detail all the types and the applications for various parameter values of Maxwell, for better understanding through an example with real data from an insurance company. What is more, we checked how the Maxwell distribution fits a real data set from insurance using the Kolmogorov - Smirnov test. Τo conclude, we study the functions of mean residual life and failure rate, and compare the results we obtain theoretically with those using the real data set.