Asymptotic normality of the log-likelihood ratio for a~class of $m$-dependent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 476-489

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Asymptotic normality of the log-likelihood ratio (LLR) is established in the problem of testing two simple hypotheses about the distribution of a sequence of m-dependent random variables by the “responses” on the elements of the sequence.
Keywords: $m$-dependence, likelihood ratio, asymptotic normality.
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     author = {S. V. Pazizin and B. V. Ryazanov},
     title = {Asymptotic normality of the log-likelihood ratio for a~class of $m$-dependent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {476--489},
     publisher = {mathdoc},
     volume = {43},
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     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a3/}
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S. V. Pazizin; B. V. Ryazanov. Asymptotic normality of the log-likelihood ratio for a~class of $m$-dependent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 476-489. http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a3/