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arXiv · 1709.06313

Asymptotics for relative frequency when population is driven by arbitrary evolution

Silvano Fiorin
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Abstract

Strongly consistent estimates are shown, via relative frequency, for the probability of "white balls" inside a dichotomous urn when such a probability is an arbitrary continuous time dependent function over a bounded time interval. The asymptotic behaviour of relative frequency is studied in a nonstationary context using a Riemann-Dini type theorem for SLLN of random variables with arbitrarily different expectations; furthermore the theoretical results concerning the SLLN can be applied for estimating the mean function of unknown form of a general nonstationary process.

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Silvano Fiorin. 2017-09-19. Asymptotics for relative frequency when population is driven by arbitrary evolution. https://arxiv.org/abs/1709.06313

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