文章基本信息

标题：On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution
其他标题：On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution
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作者：Dian Ekawati ; Warsono Warsono ; Dian Kurniasari 等
期刊名称：Majalah Iptek = IPTEK : The Journal for Technology and Science
印刷版ISSN：0853-4098
电子版ISSN：2088-2033
出版年度：2014
卷号：25
期号：3
DOI：10.12962/j20882033.v25i3.574
语种：English
出版社：IPTEK
摘要：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
关键词：Log-logistic Distribution; Moments; Cumulants; Characteristics Function