Characterization of a class of functions using divided differences.
Simeonov, Plamen (2000)
Abstract and Applied Analysis
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Displaying similar documents to “Complete polynomial vector fields in simplexes with application to evolutionary dynamics.”
Characterization of a class of functions using divided differences.
A variant of Jensen's inequality.
Mercer, A.McD. (2003)
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Inequalities involving the mean and the standard deviation of nonnegative real numbers.
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Hara, Takuya, Uchiyama, Mitsuru, Takahasi, Sin-Ei (1998)
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A strong limit theorem for functions of continuous random variables and an extension of the Shannon-McMillan theorem.
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A local convergence theorem for partial sums of stochastic adapted sequences
Wei Guo Yang, Zhong Xing Ye, Liu, Wen (2006)
Czechoslovak Mathematical Journal
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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.
A class of strong limit theorems for countable nonhomogeneous Markov chains on the generalized gambling system
Kangkang Wang (2009)
Czechoslovak Mathematical Journal
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In this paper, we study the limit properties of countable nonhomogeneous Markov chains in the generalized gambling system by means of constructing compatible distributions and martingales. By allowing random selection functions to take values in arbitrary intervals, the concept of random selection is generalized. As corollaries, some strong limit theorems and the asymptotic equipartition property (AEP) theorems for countable nonhomogeneous Markov chains in the generalized gambling system...