论文标题
Shanker，Akash，Ishita，Pranav，Rani和Ram Awadh发行版的独立随机变量总和
Sum of independent random variable for Shanker, Akash, Ishita, Pranav, Rani and Ram Awadh distributions
论文作者
论文摘要
在统计和概率理论中，最重要的统计数据是随机变量的总和。引入了概率分布后，确定n个独立和相同分布的随机变量的总和是作者的有趣主题之一。本文介绍了n个自变和相同分布的随机变量（例如尚克，阿卡什，伊什塔，拉尼，普拉纳夫和拉姆·阿瓦德）的概率密度函数。为了确定上述所有分布，应用问题解决方法的方法基于变化的变化技术。还准确计算了他们的第三矩。此外，在Lindley组件故障时间下，还评估了n个冷备用备用系统中1次失败的可靠性和平均失败的时间。
In statistics and probability theory, one the most important statistics is the sums of random variables. After introducing a probability distribution, determining the sum of n independent and identically distributed random variables is one of the interesting topics for authors. This paper presented the probability density function for the sum of n independent and identically distributed random variables such as Shanker, Akash, Ishita, Rani, Pranav and Ram Awadh. In order to determine all aforementioned distributions, the problem-solving methods are applied which is based on the change-of-variables technique. The mth moments for them were also accurately calculated. Besides, the reliability and the mean time to failure of a 1 out of n cold standby spare system has also been evaluated under the Lindley components failure time.
