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A Smooth Non-Iterative Local Polynomial (SNILP) Model of Image Vignetting [PDF]
Sensors, 2021 Image vignetting is one of the major radiometric errors, which occurs in lens-camera systems. In many applications, vignetting is an undesirable phenomenon; therefore, when it is impossible to fully prevent its occurrence, it is necessary to use ...
Artur Bal, Henryk Palus
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Local polynomial estimation of heteroscedasticity in a multivariate linear regression model and its applications in economics. [PDF]
PLoS ONE, 2012 Multivariate local polynomial fitting is applied to the multivariate linear heteroscedastic regression model. Firstly, the local polynomial fitting is applied to estimate heteroscedastic function, then the coefficients of regression model are obtained by
Liyun Su +3 more
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Local Sensitivity of Failure Probability through Polynomial Regression and Importance Sampling
Mathematics, 2023 Evaluating the failure probability of a system is essential in order to assess its reliability. This probability may significantly depend on deterministic parameters such as distribution parameters or design parameters.
Marie Chiron +2 more
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Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
Econometrics, 2017 Filters constructed on the basis of standard local polynomial regression (LPR) methods have been used in the literature to estimate the business cycle.
Luis J. Álvarez
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lpdensity: Local Polynomial Density Estimation and Inference
Journal of Statistical Software, 2022 Density estimation and inference methods are widely used in empirical work. When the underlying distribution has compact support, conventional kernel-based density estimators are no longer consistent near or at the boundary because of their well-known ...
Matias D. Cattaneo +2 more
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Percentile Bootstrap Interval on Univariate Local Polynomial Regression Prediction
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 This study offers a new technique for constructing percentile bootstrap intervals to predict the regression of univariate local polynomials. Bootstrap regression uses resampling derived from paired and residual bootstrap methods.
Abil Mansyur +2 more
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Local polynomials are polynomials [PDF]
Studia Mathematica, 1995 Summary: We prove that a function \(f\) is a polynomial if \(G\circ f\) is a polynomial for every bounded linear functional \(G\). We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Fong, C. K. +4 more
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Local behaviour of polynomials [PDF]
Mathematics of Computation, 2003 The following question was raised by \textit{P. Turán} [Acta Sci. Math., Szeged 11, 106--113 (1946; Zbl 0060.05406)]. Let \(p\) be a polynomial of degree at most \(n\) and suppose that \(| p(z)|\) attains its maximum on the unit circle at the point \(z=1\). How near to this point can there be a zero \(\alpha\) of \(p\)?
Dimiter P. Dryanov +2 more
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Locally polynomially bounded structures [PDF]
Bulletin of the London Mathematical Society, 2008 Change of ...
Jones, G. O., Wilkie, A. J.
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Local polynomials and the Montel theorem [PDF]
Aequationes mathematicae, 2014 9 pages, submitted to a ...
Almira, Jose Maria +1 more
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