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Empirical distribution function under heteroscedasticity
, 2010
"... Abstract Neglecting heteroscedasticity of error terms may imply a wrong identification of regression model -see Appendix. Employment of (heteroscedasticity resistent) White's estimator of covariance matrix of estimates of regression coefficients may lead to the correct decision about significa ..."
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Abstract Neglecting heteroscedasticity of error terms may imply a wrong identification of regression model -see Appendix. Employment of (heteroscedasticity resistent) White's estimator of covariance matrix of estimates of regression coefficients may lead to the correct decision about significance of individual explanatory variables under heteroscedasticity. However, White's estimator of covariance matrix was established for LS-regression analysis (in the case when error terms are normally distributed, LS-and ML-analysis coincide and hence then White's estimate of covariance matrix is available for ML-regression analysis, too). To establish White's-type estimate for another estimator of regression coefficients requires Bahadur representation of the estimator in question, under heteroscedasticity of error terms. The derivation of Bahadur representation for other (robust) estimators requires some tools. As the key one proved to be a tight approximation of the empirical distribution function of residuals by the theoretical distribution function of the error terms of the regression model. We need the approximation to be uniform in the argument of distribution function as well as in regression coefficients. The present paper offers this approximation for the situation when the error terms are heteroscedastic.
Home Search Collections Journals About Contact us My IOPscience IOP PUBLISHING JOURNAL OF PHYSICS D: APPLIED PHYSICS
, 2011
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content has been downloaded from IOPscience. Please scroll down to see the full text.
Inherent-opening-controlled pattern formation in carbon nanotube arrays
, 2007
"... We have introduced inherent openings into densely packed carbon nanotube arrays to study self-organized pattern formation when the arrays undergo a wetting–dewetting treatment from nanotube tips. These inherent openings, made of circular or elongated hollows in nanotube mats, serve as dewetting cent ..."
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We have introduced inherent openings into densely packed carbon nanotube arrays to study self-organized pattern formation when the arrays undergo a wetting–dewetting treatment from nanotube tips. These inherent openings, made of circular or elongated hollows in nanotube mats, serve as dewetting centres, from where liquid recedes from. As the dewetting centres initiate dry zones and the dry zones expand, surrounding nanotubes are pulled away from the dewetting centres by liquid surface tension. Among short nanotubes, the self-organized patterns are consistent with the shape of the inherent openings, i.e. slender openings lead to elongated trench-like structures, and circular holes result in relatively round nest-like arrangements. Nanotubes in a relatively high mat are more connected, like in an elastic body, than those in a short mat. Small cracks often initialize themselves in a relatively high mat, along two or more adjacent round openings; each of the cracks evolves into a trench as liquid dries up. Self-organized pattern control with inherent openings needs to initiate the dewetting process above the nanotube tips. If there is no liquid on top, inherent openings barely enlarge themselves after the wetting–dewetting treatment. 1.
TOPICAL REVIEW Advances in nanostructured permanent magnets research
, 2012
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View the table of contents for this issue, or go to the journal homepage for more
Article URL
, 2008
"... This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Primary abdominal hydatid cyst presenting in emergency as appendicular mass: a case report ..."
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This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Primary abdominal hydatid cyst presenting in emergency as appendicular mass: a case report
unknown title
, 2008
"... Interdot Coulomb repulsion effect on the charge transport of parallel double single electron transistors. ..."
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Interdot Coulomb repulsion effect on the charge transport of parallel double single electron transistors.
RESEARCH ARTICLE Open Access Identification of drought-responsive microRNAs in
"... Medicago truncatula by genome-wide highthroughput sequencing ..."
