Laws of Large Numbers for Random Variables with Arbitrarily Different and Finite Expectations Via Regression Method

Fiorin, Silvano

doi:10.1007/978-1-4939-2104-1_16

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2017

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“…'s Y (t j ). This argument, investigated by Fiorin [4] is now improved with the help of new results given in section (5). iv)The convergence of ( 2) is studied via the sequence {E(Y (t j )) = p 0 (t j ) : j ≥ 1} and permutations (i.e.…”

Section: Introductionmentioning

confidence: 96%

Asymptotics for relative frequency when population is driven by arbitrary evolution

Fiorin

2017

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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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Section: Introductionmentioning

confidence: 96%