THE STRONG LIMIT THEOREM FOR RELATIVE ENTROPY DENSITY RATES BETWEEN TWO ASYMPTOTICALLY CIRCULAR MARKOV CHAINS
Sign Up to like & getrecommendations! Published in 2018 at "Probability in the Engineering and Informational Sciences"
DOI: 10.1017/s0269964818000074
Abstract: In this paper, we are going to study the strong limit theorem for the relative entropy density rates between two finite asymptotically circular Markov chains. Firstly, we prove some lammas on which the main result… read more here.
Keywords: markov; entropy density; strong limit; markov chains ... See more keywords
Jajte-type strong limit theorem for pairwise negatively quadrant dependent random variables
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DOI: 10.1080/03610926.2024.2319094
Abstract: Abstract The authors study the strong limit theorems for pairwise negatively quadrant dependent random variables, and present a new Jajte-type theorem on the complete convergence and the strong laws of large numbers. The results obtained… read more here.
Keywords: random variables; quadrant dependent; pairwise negatively; dependent random ... See more keywords
A strong limit theorem of the largest entries of sample correlation matrices under a φ-mixing assumption
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DOI: 10.2298/fil2419957z
Abstract: Let {Xk,i; k ? 1, i ? 1} be an array of random variables, {Xk; k ? 1} be a strictly stationary ?- mixing sequence, where Xk = (Xk,1,Xk,2, ? ? ? ,Xk,p). Let {pn;… read more here.
Keywords: strong limit; theorem largest; correlation; limit theorem ... See more keywords