Asymptotics for relative frequency when population is driven by arbitrary evolution
Methodology
2017-09-20 v1
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.
Cite
@article{arxiv.1709.06313,
title = {Asymptotics for relative frequency when population is driven by arbitrary evolution},
author = {Silvano Fiorin},
journal= {arXiv preprint arXiv:1709.06313},
year = {2017}
}
Comments
29 pages