The Uniform Continuity of Characteristic Function from Convoluted Exponential Distribution with Stabilizer Constant

被引:1
作者
Devianto, Dodi [1 ]
机构
[1] Andalas Univ, Dept Math, Fac Math & Nat Sci, Limau Manis Campus, Padang 25163, Indonesia
来源
PROCEEDINGS OF THE 7TH SEAMS UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2015: ENHANCING THE ROLE OF MATHEMATICS IN INTERDISCIPLINARY RESEARCH | 2016年 / 1707卷
关键词
convolution; exponential distribution with stabilizer constant; characteristic function; uniform continuity;
D O I
10.1063/1.4940863
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is constructed convolution of generated random variable from independent and identically exponential distribution with stabilizer constant. The characteristic function of this distribution is obtained by using Laplace-Stieltjes transform. The uniform continuity property of characteristic function from this convolution is obtained by using analytical methods as basic properties.
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页数:5
相关论文
共 8 条
[1]  
Akkouchi Mohamed, 2008, [Journal of the Chungcheong Mathematical Society, 충청수학회지], V21, P501
[2]  
[Anonymous], 1970, Characteristic Functions
[3]  
[Anonymous], 2013, Applied Mathematics
[4]  
Devianto D., 2015, APPL MATH SCI, V9, P4781
[5]  
Devianto D., 2007, INT J PURE APPL MATH, V39, P245
[6]  
GNEDENKO B, 1968, LIMIT DISTRIBUTION S
[7]  
Jasiulewicz H., 2003, Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics, V36, P231
[8]   A novel analytical scheme to compute the n-fold convolution of exponential-sum distribution functions [J].
Ma, NY ;
Feng, L .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) :225-235