TY  - JOUR
TI  - Numerical solution to an integral equation for the kth moment function of a geometric process
AB  - In this paper, an integral equation for the kth moment function of a geometric process is derived as a generalization of the lower-order moments of the process. We propose a general solution to solve this integral equation by using the numerical method, namely trapezoidal integration rule. The general solution is reduced to the numerical solution of the integral equations which will be given for the third and fourth moment functions to compute the skewness and kurtosis of a geometric process. To illustrate the numerical method, we assume gamma, Weibull and lognormal distributions for the first interarrival time of the geometric process.
AU  - Aydoğdu, Ayşenur
AU  - Pekalp, Mustafa Hilmi
DO  - 10.31801/cfsuasmas.865647
PY  - 2021
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 70
IS  - 2
SN  - 1303-5991
SP  - 731
EP  - 743
DB  - TRDizin
UR  - http://search/yayin/detay/498997
ER  -