NUMERICAL CHARACTERISTICS OF PARETO DISTRIBUTION UNDER UNCERTAINTY

Yıl 2013, Cilt: 6 Sayı: 2, 66 - 72, 01.07.2013

Turkan Erbay Dalkilic Tulay Kesemen Fatih Tank

Öz

NUMERICAL CHARACTERISTICS OF PARETO DISTRIBUTION UNDER UNCERTAINTY

Öz

In this study, we consider the Pareto distribution where the value of k parameter is uncertain.
Some statistical quantities such as expected value, variance, skewness and kurtosis of the pareto distribution
are derived by using fuzzy numbers. In addition to the these numerical characteristics, a numerical study
is provided. Furthermore, large claims data from Society of Actuaries (SOA) Group Medical insurance is examined and k parameter of Pareto distribution is obtained by using the maximum likelihood estimation
method and the numerical characteristics of this distribution are calculated under uncertainty

Anahtar Kelimeler

Pareto distribution, uncertain probability, medical insurance

Kaynakça

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