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arXiv 1709.06313stat.ME
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种群受任意演化驱动时相对频率的渐近性

Asymptotics for relative frequency when population is driven by arbitrary evolution

Silvano Fiorin

摘要:

强相合估计显示,通过相对频率,“白球”内的二分瓮的概率时,这样的概率是一个任意连续的时间依赖函数在一个有界的时间间隔。本文利用Riemann-Dini型定理研究了非平稳背景下随机变量的SLLN的相对频率的渐近性质,并将有关SLLN的理论结果应用于一般非平稳过程未知形式的均值函数的估计.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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