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Central limit theorem for asymmetric kernel functionals
(Escola de Pós-Graduação em Economia da FGV, 2004-02-01)
Asymmetric kernels are quite useful for the estimation of density functions with bounded support. Gamma kernels are designed to handle density functions whose supports are bounded from one end only, whereas beta kernels ...
Central Limit Theorem for the Number of Near-Records
(Taylor & Francis, 2012)
Near-records in a sequence of random variables Xn n ≥ 1 are observations
within a fixed distance of the current maximum. More precisely, as defined
by Balakrishnan et al. (2005), Xn is a near-record if Xn ∈ Mn−1 − a ...
LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL
(SIAM PUBLICATIONS, 2011)
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested ...
Meaning of Central Limit Theorem in University Statistics and Probability TextbooksSIGNIFICADO DEL TEOREMA CENTRAL DEL LIMITE EN TEXTOS UNIVERSITARIOS DE PROBABILIDAD Y ESTADÍSTICA
(Universidad Austral de Chile, Facultad de Filosofía y Humanidades., 2018)
Gaussian Behavior of Quadratic Irrationals
(Polish Academy of Sciences. Institute of Mathematics, 2021-10)
We study the probabilistic behaviour of the continued fraction expansion of a quadratic irrational number, when weighted by some "additive" cost. We prove asymptotic Gaussian limit laws, with an optimal speed of convergence. ...
When is n large enough? Looking for the right sample size to estimate proportions
(Taylor and Francis Ltd., 2019)
The central limit theorem indicates that when the sample size goes to infinite, the sampling distribution of means tends to follow a normal distribution; it is the basis for the most usual confidence interval and sample ...