期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2017
卷号：13
期号：4
页码：799-808
DOI：10.18187/pjsor.v13i4.1868
语种：English
出版社：College of Statistical and Actuarial Sciences
其他摘要：We give the exact distribution of the average of n independent beta random variables
weighted by the selected cuts of (0; 1) by the order statistics of a random sample of size n−1
from the uniform distribution U(0; 1), for each n. A new integral transformation that is
similar to generalized Stieltjes transform is given with various properties. Integral representation
of the Gauss-hypergeometric function in some parts is employed to achieve the exact
distribution. Also the result of Soltani and Roozegar [On distribution of randomly ordered
uniform incremental weighted averages: Divided dierence approach. Statist Probab Lett.
2012;82(5):1012{1020] with the new transform is achieved. Finally, several new examples
of this family of distributions are investigated.
