Geodesic
A local convergence theorem for partial sums of stochastic adapted sequences
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 525-532

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In this paper we establish a new local convergence theorem for partial sums of arbitrary stochastic adapted sequences. As corollaries, we generalize some recently obtained results and prove a limit theorem for the entropy density of an arbitrary information source, which is an extension of case of nonhomogeneous Markov chains.
Classification : 60F15
Keywords: local convergence theorem; stochastic adapted sequence; martingale 
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     author = {Yang, Weiguo and Ye, Zhongxing and Liu, Wen},
     title = {A local convergence theorem for partial sums of stochastic adapted sequences},
     journal = {Czechoslovak Mathematical Journal},
     pages = {525--532},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291753},
     zbl = {1164.60338},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a17/}
}
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Yang, Weiguo; Ye, Zhongxing; Liu, Wen. A local convergence theorem for partial sums of stochastic adapted sequences. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 525-532. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a17/