Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.11.015
Abstract: Abstract We consider dynamical systems on a finite measure space fulfilling a spectral gap property and Birkhoff sums of a non-negative, non-integrable observable. For such systems we generalize strong laws of large numbers for intermediately… read more here.
Keywords: strong laws; laws large; large numbers; birkhoff sums ... See more keywords
The strong laws of large numbers for weighted sums of extended negatively dependent random variables
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2016.1222435
Abstract: ABSTRACT In this paper, the strong laws of large numbers for maximum value of weighted sums of extended negatively dependent random variables are obtained, which improve and extend the corresponding ones for independent random variables… read more here.
Keywords: random variables; weighted sums; strong laws; laws large ... See more keywords
Complete convergence and the strong laws of large numbers for pairwise NQD random variables
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1481979
Abstract: Abstract The authors study the strong convergence for sequences of pairwise negatively quadrant dependent (NQD) random variables under some wide conditions, and present some new theorems on the complete convergence and the strong laws of… read more here.
Keywords: nqd random; random variables; complete convergence; strong laws ... See more keywords