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Assume that a sequence of observations x1, ..., xn+r can be treated as the sample values of a Markov chain of order r or less (chain in which the dependence extends over r+1 consecutive variables only), and consider the problem of testing the hypothesis H0 that a chain of order r 1 will be sufficient on the basis of the tools given by the Statistical Information Theory: -Divergences. More precisely,...
Assume that a sequence of observations 1 $$x_1 ,...,x_{n + r} $$ can be treated as the sample values of a Markov chain of order r or less (chain in which the dependence extends over r+1 consecutive variables only), and consider the problem of testing the hypothesis Ho that a chain of order r — 1 will be sufficient on the basis of the tools given by the Statistical Information Theory: ϕ—Divergences...
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