Asymptotic expansions for heavy tailed data +91-9994232214,7806844441, ieeeprojectchennai@gmail.com, www.projectsieee.com, www.ieee-projects-chennai.com IEEE PROJECTS 2016-2017 ----------------------------------- Contact:+91-9994232214,+91-7806844441 Email: ieeeprojectchennai@gmail.com

1. Asymptotic Expansions for Heavy-Tailed Data
Abstract:
Heavy-tailed distributions are present in the characterization of different modern
systems such as high-resolution imaging, cloud computing, and cognitive radio
networks. Commonly, the cumulants of these distributions cannot be defined
from a certain order, and this restricts the applicability of traditional methods. To
fill this gap, the present letter extends the traditional Edgeworth and Cornish-
Fisher expansions, which are based on the cumulants, to analogous asymptotic
expansions based on the log-cumulants. The proposed expansions inherit the
capability of log-cumulants to characterize heavy-tailed distributions and parallel
traditional expansions. Thus, they are readily implemented. Interestingly, the
proposed expansions are applicable for light-tailed distributions as well.