Results 21 to 30 of about 90,888 (192)
Edgeworth Coefficients for Standard Multivariate Estimates
AxiomsI give for the first time explicit formulas for the coefficients needed for the fourth-order Edgeworth expansions of a multivariate standard estimate. I call these the Edgeworth coefficients.
Christopher Stroude Withers
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Elektronika ir Elektrotechnika, 2018 This paper presents a cumulant-based method for probabilistic load flow (PLF) analysis which incorporates correlation between input random variables. Our approach can approximate non-Gaussian variables of all kinds (e.g.
Yu Huang +4 more
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5th-Order Multivariate Edgeworth Expansions for Parametric Estimates
MathematicsThe only cases where exact distributions of estimates are known is for samples from exponential families, and then only for special functions of the parameters. So statistical inference was traditionally based on the asymptotic normality of estimates. To
C. S. Withers
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A conversation with James V. Zidek
Canadian Journal of Statistics, EarlyView.AbstractThis article documents a series of exchanges between the authors and the senior Canadian statistician Jim Zidek in early 2026. The interview traces his life trajectory, surveying his principal contributions to statistics while offering insights into his motivations, successes, and challenges. Zidek is a Fellow of the Royal Society of Canada and
Christian Genest, Nancy E. Heckman
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The Distribution and Quantiles of the Sample Mean from a Stationary Process
AxiomsEdgeworth–Cornish–Fisher expansions are hugely important, as they give the distribution, density and quantiles of any standard estimate. Here we show that the sample mean of a univariate or multivariate stationary process is a standard estimate, so that ...
Christopher S. Withers
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An Edgeworth Expansion for $U$-Statistics
The Annals of Statistics, 1980 It is shown that, under some regularity conditions on the kernel, a one-sample $U$-statistic with kernel of degree two admits an asymptotic expansion with remainder term $o(N^{-1})$.
Callaert, H. +2 more
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Journal of Anatomy, EarlyView.The trigeminal nerve of the rat (Rattus norvegicus) and its relationship with different masticatory muscles. dig, digastric nerve; ep, external pterygoid nerve; ip, internal pterygoid nerve; maadm, branch of the masseteric nerve for the anterior deep masseter; mapdm, branches of the masseteric nerve for the posterior deep masseter; masm, branch of the ...
Lionel Hautier +5 more
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Edgeworth expansions for spectral density estimates and studentized sample mean [PDF]
, 2000 We establish valid Edgeworth expansions for the distribution of smoothed nonparametric spectral estimates, and of studentized versions of linear statistics such as the same mean, where the studentization employs such a nonparametric spectral estimate ...
Robinson, Peter M., Velasco, Carlos
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Edgeworth expansion by Stein’s method
BernoulliEdgeworth expansion provides higher-order corrections to the normal approximation for a probability distribution. The classical proof of Edgeworth expansion is via characteristic functions. As a powerful method for distributional approximations, Stein's method has also been used to prove Edgeworth expansion results.
Fang, Xiao, Liu, Song-Hao
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Journal of Anatomy, EarlyView.We reconstruct the major cranial musculature of the giant stem amphibian Mastodonsaurus giganteus, revealing a differentiated jaw‐adductor system, a probable sesamoid pulley, and previously unrecognised muscles. This EPB‐based case study establishes an anatomical framework for modelling feeding in early tetrapods and supports interpretations of ...
Daniel Schwarz +5 more
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