2,397,296 research outputs found
Circular Bernstein polynomial distributions
No full textThis paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular data. It is shown that the trigonometric moments of the proposed circular Bernstein polynomial distribution can all be derived in closed form. We comment on how to fit the Bernstein polynomial density approximation to a sample of data and illustrate our approach with a real data example.Circular data, Non-parametric modeling, Bernstein polynomials
Asymptotic properties of the Bernstein density copula for dependent data
No full textCopulas are extensively used for dependence modeling. In many cases the data does not reveal how the dependence can be modeled using a particular parametric copula. Nonparametric copulas do not share this problem since they are entirely data based. This paper proposes nonparametric estimation of the density copula for α-mixing data using Bernstein polynomials. We study the asymptotic properties of the Bernstein density copula, i.e., we provide the exact asymptotic bias and variance, we establish the uniform strong consistency and the asymptotic normality.nonparametric estimation, copula, Bernstein polynomial, α-mixing, asymptotic properties, boundary bias
Structured matrix methods for computations on Bernstein basis polynomials
No full textThis thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it is shown that structure preserving matrix methods yield excellent results.
With respect to greatest common divisor computations, the most difficult part is the computation of its degree, and several methods for its determination are presented.
These are based on the Sylvester resultant matrix, and it is shown that a new form of the Sylvester resultant matrix in the modified Bernstein basis yields the best results.
The B´ezout resultant matrix in the modified Bernstein basis is also considered, and it is shown that the results from it are inferior to those from the Sylvester resultant
matrix in the modified Bernstein basis
J.B. McNamara from Lina Bernstein, June 29, 1934-April 29, 1940
No full textLetters to J.B. McNamara from Lina Bernstein dated June 29, 1934 to April 29, 1940
bernstein-2017-productivity-and-diversity-2-18S
No full text<p>This is an 18S data set that is part of a larger project. Please visit our github repo for more information: <br>
https://github.com/pnnl/bernstein-2017-productivity-and-diversity-2</p>
bernstein-2017-productivity-and-diversity-2-16S
No full text<p>This is a 16S data set that is part of a larger project. Please visit our github repo for more information: <br>
https://github.com/pnnl/bernstein-2017-productivity-and-diversity-2</p>
Experimental Test of L- and D-Amino Acid Binding to L- and D-Codons Suggests that Homochirality and Codon Directionality Emerged with the Genetic Code
No full textL-amino acids bind preferentially to their D-codons, but almost nothing is known about whether D-amino acids correspondingly prefer L-codons, or how codon directionality affects amino acid binding. To investigate these issues, two D-RNA-oligonucleotides having inverse base sequences (D-CGUA and D-AUGC) and their corresponding L-RNA-oligonucleotides (L-CGUA and L-AUGC) were synthesized and their affinity determined for Gly and eleven pairs of L- and D-amino acids. The data support the hypothesis (Root-Bernstein, Bioessays 2007; 29: 689–698) that homochirality and codon directionality emerged as a function of the origin of the genetic code itself. Further tests involving amplification methods are proposed
Photographs of Mary Pauline Root
No full textPhotographs of Mary Pauline Root most likely during her time as a missionary in Japan around 1891 and while visiting American Indian communities and Indian Government Schools teaching social hygiene for the U.S. Bureau of Indian Affairs in 1920. Root graduated from the Woman's Medical College of Pennsylvania in 1883. She was the first woman to test for and receive an internship at the Blockley Hospital (now Philadelphia General Hospital) in 1884 and the first female doctor to be sent as a medical missionary by the American Board of Commissioners for Foreign Missions in 1885
Journal of My Life by Jacques-Louis Ménétra, présenté par Daniel Roche, traduit en anglais par Arthur Goldhammer
No full textRoot-Bernstein Michèle. Journal of My Life by Jacques-Louis Ménétra, présenté par Daniel Roche, traduit en anglais par Arthur Goldhammer. In: Revue d’histoire moderne et contemporaine, tome 36 N°1, Janvier-mars 1989. pp. 174-178
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