Abstract
Svante Janson presented sharper tail bounds for sum of geometric and exponential variables. In this article, we consider for gamma variables with real number parameters and obtain similar results. As a result, more particular examples of gamma variables like exponential variables and chi-square variables can also be included in this framework.
Acknowledgments
We thank the helpful instructions from professor Zechun Hu and the useful discussions of Mr. Hongxu Chen. We are also grateful for the comments and suggestions from anonymous reviewers and editors, who correct our mistakes in this article and help a lot to improve the presentation of our paper.