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Asymptotic Estimates for Integrals
, 2015Mechanical problems can be described by differential equations, the solutions of which often cannot be expressed by elementary functions, but have an integral representation.
S. Bauer +4 more
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Nonlinear Estimation and Asymptotic Approximations
Econometrica, 1978central objective of this paper is to present a series expansion of nonlinear estimators in order to facilitate an analysis of the distributions of such estimators. Where the estimator under consideration is a maximum likelihood estimator, the method provides somewhat more information, as well as higher order approximations to the distributions of the ...
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Asymptotic Estimates of Fourier Coefficients
SIAM Journal on Mathematical Analysis, 1974Complex variable techniques are used to estimate the Fourier coefficients of functions expanded in series of Jacobi, Laguerre and Hermite polynomials.
Elliott, David, Tuan, P. D.
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ASYMPTOTICS OF SPECTRAL DENSITY ESTIMATES
Econometric Theory, 2009We consider nonparametric estimation of spectral densities of stationary processes, a fundamental problem in spectral analysis of time series. Under natural and easily verifiable conditions, we obtain consistency and asymptotic normality of spectral density estimates.
Liu, Weidong, Wu, Wei Biao
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Asymptotically optimal estimation
1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1981The purpose of this paper is to investigate the use of asymptotic methods in the design of optimal state estimators for nonlinear systems and to use these methods to estimate the complexity of such filters. More specifically, we develop expansions for the autocorrelation function of the solution of a stochastic differential equation which is close to ...
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Asymptotic Efficiency of Inverse Estimators
Theory of Probability & Its Applications, 2000Summary: Inverse estimation concerns the recovery of an unknown input signal from blurred observations on a known transformation of that signal. The estimators considered in this paper are based on a regularized inverse of the transformation involved, employing a Hilbert space set-up. We focus on properties related to weak convergence. It is shown that
van Rooij, A. C. M. +2 more
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The Periodic Lorentz Gas in The Boltzmann–Grad Limit: Asymptotic Estimates
, 2010The dynamics of a point particle in a periodic array of spherical scatterers converges, in the limit of small scatterer size, to a random flight process, whose paths are piecewise linear curves generated by a Markov process with memory two.
J. Marklof, Andreas Strömbergsson
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Asymptotic Estimates of the Distribution of Brownian Hitting Time of a Disc
, 2010The distribution of the first hitting time of a disc for the standard two-dimensional Brownian motion is computed. By investigating the inversion integral of its Laplace transform we give fairly detailed asymptotic estimates of its density valid ...
K. Uchiyama
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Asymptotics of Oja Median Estimate
Statistics & Probability Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Normality of some Estimators
Calcutta Statistical Association Bulletin, 1981This paper uses martingale central limit theorem and continuous mapping theorem to establish asymptotic normality of log-likelihood ratio process, maximum likelihood estimators and the posterior distributions. Illustrative examples are given.
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