IPTEK The Journal for Technology and Science
Vol 25, No 3 (2014)

On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution

Dian Ekawati (Universitas Lampung)
Warsono Warsono (Universitas Lampung)
Dian Kurniasari (Universitas Lampung)



Article Info

Publish Date
27 Apr 2015

Abstract

This research examine about the moments, cumulants, and characteristic function of the log-logistic distribution. Therefore, the purposes of this article are (1) finding moments of the log-logistic distribution by using moment generating function and by definition of expected values of the log-logistic random variable and (2) finding the cumulants and characteristic function of the log-logistic distribution. Log-logistic distribution has two parameters: the shape parameter α and β as a parameter scale. Moments of the log-logistic distribution can be determined by using the moment generating function or the definition of expected value. Cumulants determined by the moments that have been found previously. Furthermore, skewness and kurtosis can be determined from the log-logistic distribution. While the characteristic function is the expected value of e^itx, which I as an imaginary number

Copyrights © 2014






Journal Info

Abbrev

jts

Publisher

Subject

Computer Science & IT

Description

IPTEK The Journal for Technology and Science (eISSN: 2088-2033; Print ISSN:0853-4098), is an academic journal on the issued related to natural science and technology. The journal initially published four issues every year, i.e. February, May, August, and November. From 2014, IPTEK the Journal for ...