A remark on normalizations in a local principle of large deviations

This work is a continuation of [7]. We consider a continuous-time birth-and-death process in which the transition rates have an asymptotical power-law dependence upon the position of the process. We establish rough exponential asymptotic for the probability that a sample path of a normalized process...

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Hauptverfasser:	Logachov, A. V, Suhov, Y. M, Vvedenskaya, N. D, Yambartsev, A. A
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Sprache:	eng
Schlagworte:	Mathematics - Probability
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creator	Logachov, A. V Suhov, Y. M Vvedenskaya, N. D Yambartsev, A. A
description	This work is a continuation of [7]. We consider a continuous-time birth-and-death process in which the transition rates have an asymptotical power-law dependence upon the position of the process. We establish rough exponential asymptotic for the probability that a sample path of a normalized process lies in a neighborhood of a given nonnegative continuous function. We propose a variety of normalization schemes for which the large deviation functional preserves its natural integral form.
doi_str_mv	10.48550/arxiv.1911.03981
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title	A remark on normalizations in a local principle of large deviations
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