Το Log-Lindley μοντέλο παλινδρόμησης με εφαρμογές στην ασφάλιση
The Log-Lindley regression model with application in insurance
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Keywords
Log-Lindley distribution ; Log-Lindley regression model ; Stochastic order ; Mixed random variablesAbstract
In the following thesis we present the Log-Lindley distribution which is derived from the relative transformation of the generalized Lindley proposed by Zakerzadeh and Dolati (2010). The impetus for the paper was the fact that the aforementioned distribution is an alternative to the Beta distribution by carrying the advantage of formulating the probability density function of the absence of a special function. The paper consists of three parts. In the first one some basic properties of the Log-Lindley distribution were studied. At a later stage, the second part follows, in which basic concepts of stochastic ordering were introduced in order to stochastically order two random variables derived from the distribution under consideration as well as, the stochastic ordering of two mixed random variables with mixing distributions the corresponding Log-Lindley distributions. Finally, the third part examined whether fitting a Log-Lindley regression model can be a satisfactory alternative to Beta regression.