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1987
Different techniques are used to get upper and lower bounds of the integral $${\text{J}}({\text{a}};\lambda ,\theta ) = \int\limits_{\text{a}}^{\text{b}} {\frac{{{\text{ds}}}}{{{{\text{s}}^\lambda } - {\text{b}}}}{\text{with}}{\mkern 1mu} {\text{b}} = \theta {{\text{a}}^\lambda },}$$ where 0 < λ
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Different techniques are used to get upper and lower bounds of the integral $${\text{J}}({\text{a}};\lambda ,\theta ) = \int\limits_{\text{a}}^{\text{b}} {\frac{{{\text{ds}}}}{{{{\text{s}}^\lambda } - {\text{b}}}}{\text{with}}{\mkern 1mu} {\text{b}} = \theta {{\text{a}}^\lambda },}$$ where 0 < λ
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The Jackknife Estimate of a Kaplan-Meier Integral
Biometrika, 1994Summary: We derive an explicit formula for the jackknife estimate of a Kaplan- Meier integral. From this the asymptotic analysis of the jackknifed Kaplan-Meier process becomes straightforward. In a small simulation study it is demonstrated that jackknifing may lead to a considerable reduction of the bias.
Stute, Winfried, Wang, Jane-Ling
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Methods of expert estimations concordance for integral quality estimation
Expert Systems with Applications, 2014The paper presents new methods of alternatives ranking using expert estimations and measured data. The methods use expert estimations of objects quality and criteria weights. This expert estimations are changed during the computation. The expert estimation are supposed to be measured in linear and ordinal scales.
Mikhail P. Kuznetsov, Vadim V. Strijov
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An estimate for a double stieltjes integral
Lithuanian Mathematical Journal, 1990See the review in Zbl 0689.42010.
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Proportional Integral Estimator
SPIE Proceedings, 1989The standard Kalman filter requires that the statistical characteristics of system signal and noise are completely known. In practice, this is almost impossible to achieve. Numerous adaptive techniques have been developed to compensate for inexact system modeling.
K. Kim, B. Shafai, E. Kappos
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A Besov Estimate for Multilinear Singular Integrals
Acta Mathematica Sinica, English Series, 2000The author studies certain multlinear singular integral operators defined by \[ C(a,b,f)(x)= \text{p.v. }\int_{\mathbb{R}^n} P_m(a; x,y) P_\ell(b; x,y)\,\Omega(x- y)| x-y|^{-n+ 2-m-{\mathcal L}} f(y) dy, \] where \(a\) and \(b\) are functions satisfying some smoothness conditions and \(D^\alpha a\), \(D^\beta b\) are in the Besov space \(\dot\Lambda_ ...
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Estimating Sums with Integrals
American Journal of Physics, 1971Three methods of converting sums to integrals are presented in the hope that it will be possible for students and instructor to make such conversions with a better knowledge of the errors introduced.
R. P. Boas, C. Stutz
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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. M. Bauer +4 more
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Reliability Estimation of Classification Algorithms. II. Integral Estimates
Computational Mathematics and Modeling, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimation of Integrated Volatility
2017The financial econometrics literature mainly focuses on the integrated volatility and cross-volatility on a fixed time horizon. Therefore, this chapter is devoted to the estimation of these quantities. In the context of the Fourier estimation method, the integrated volatilities are computed by simply taking the 0-th Fourier coefficient in formula ( 2 ...
Maria Elvira Mancino +2 more
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