학술논문
ON THE CONVOLUTION OF EXPONENTIAL DISTRIBUTIONS
이용수 5
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Mohamed Akkouchi
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 21, No. 4, 501~510쪽, 전체 10쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2008.12.30
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국문 초록
영문 초록
The distribution of the sum of n independent random variables having exponential distributions with di？？erent parameters ¯i (i = 1; 2; :::; n) is given in [2], [3], [4] and [6]. In [1], by using Laplace transform, Jasiulewicz and Kordecki generalized the results obtained by Sen and Balakrishnan in [6] and established a formula for the distribution of this sum without conditions on the param- eters ¯i: The aim of this note is to present a method to ¯nd the distribution of the sum of n independent exponentially distributed random variables with di？？erent parameters. Our method can also be used to handle the case when all ¯i are the same.
목차
1. Introduction
2. Convolution of exponential distributions with di？？erent parameters
3. Convolution of exponential distributions with the same parameter
4. Convolution of exponential distributions: General case
Acknowledgement
References
키워드
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