Laws of Large Numbers for Non-Homogeneous Markov Systems
Sign Up to like & getrecommendations! Published in 2018 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-017-9612-1
Abstract: In the present we establish Laws of Large Numbers for Non-Homogeneous Markov Systems and Cyclic Non-homogeneous Markov systems. We start with a theorem, where we establish, that for a NHMS under certain conditions, the fraction… read more here.
Keywords: numbers non; markov systems; laws large; non homogeneous ... See more keywords
On the Weak Laws of Large Numbers for Compound Random Sums of Independent Random Variables with Convergence Rates
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DOI: 10.1007/s41980-021-00632-5
Abstract: The weak laws of large numbers are extremely intuitive and applicable results in various fields of probability theory and mathematical statistics. Compound random sums are extensions of classical random sums where the random number of… read more here.
Keywords: weak laws; random variables; random sums; laws large ... See more keywords
Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean
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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