摘要
国内外学者对αX+βγ的分布的研究很多,然而大部分都是在X与Y独立并且服从同一分布的前提下研究的,而对X与Y非独立的情况研究很少,至今未在国内见到相关研究成果,将基于这种考虑,以在可靠性中应用最广泛分布之一的二维指数分布为例,推出了αX+βY的分布.是受可靠性及质量工程等方面的现实例子启发下完成的.
The distribution of αX ＋ βY has been studied by several authors especially when X and Y are independent random variables and come from the same family. However, there is relatively little work of this kind when X and Y are correlated random variables. I haven＇t found related results in domestic so far .Based on this consideration, in this paper ,we takes bivariate exponential distribution which is widely applied in reliability as an example, derive the exact distributions of αX ＋ βY.The work is motivated by real-life examples in quality and reliability engineering.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第16期179-183,共5页
Mathematics in Practice and Theory
关键词
二维指数分布
非独立
线性组合
bivariate exponential distributions
dependent
linear combination
