131,281 research outputs found
Circular Bernstein polynomial distributions
This 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
The Bernstein-Von Mises Theorem in Semiparametric Competing Risks Models
Semiparametric Bayesian models are nowadays a popular tool in survival analysis. An important area of research concerns the investigation of frequentist properties of these models. In this paper, a Bernstein-von Mises theorem is derived for semiparametric Bayesian models of competing risks data. The cause-specific hazard is taken as the product of the conditional probability of a failure type and the overall hazard rate. We model the conditional probability as a smooth function of time and leave the cumulative overall hazard unspecified. A prior distribution is defined on the joint parameter space, which includes a beta process prior for the cumulative overall hazard. We show that the posterior distribution for any differentiable functional of interest is asymptotically equivalent to the sampling distribution derived from maximum likelihood estimation. A simulation study is provided to illustrate the coverage properties of credible intervals on cumulative incidence functions.Bayesian nonparametrics, Bernstein-von Mises theorem, beta process, competing risks, conditional probability of a failure type, semiparametric inference.
Asymptotic properties of the Bernstein density copula for dependent data
Copulas 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
This 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
I volti del “Candide”: il romanzo di Voltaire, il musical di Bernstein e le sue varianti
Il saggio ripercorre la genesi del "Candide" di Leonard Bernstein, dalla prima stesura del 1956 sino alla cosiddetta "final revised version" del 1989. Inoltre vengono analizzati e descritti gli sviluppi drammaturgici e i vari episodi musicali dell'opera
BERNSTEIN PLAYS BRUBECK PLAYS BERNSTEIN
Comprend : DIALOGUES FOR JAZZ : COMBO AND ORCHESTRA / Howard BRUBECK ; The New-York Philharmonic ; The Dave BRUBECK Quartet ; Leonard BERNSTEIN, dir. - MARIA / THE DAVE BRUBECK QUARTET - I FEEL PRETTY : et "SOMEWHERE" extraits de la comédie musicale "West Side Story" / S. SONDHEIM et L. BERNSTEIN ; THE DAVE BRUBECK QUARTET - SOMEWHERE : extrait de la comédie musicale "West Side Story" / THE DAVE BRUBECK QUARTET - A QUIET GIRL : de la comédie musicale "Wonderful Town" / COMDEN - GREEN et L. BERNSTEIN ; THE DAVE BRUBECK QUARTET - TONIGHT : de la comédie musicale "West Side Story" / S. SONDHEIM et L. BERNSTEIN ; THE DAVE BRUBECK QUARTETBnF-Partenariats, Collection sonore - BelieveContient une table des matière
SHEPHERD SCHOOL SYMPHONY ORCHESTRA Saturday, November 5, 2005 8:00 p.m. Stude Concert Hall
Playlist: Blood Rite / Randolph L. Partain (b. 1973) -- Billy the Kid / Aaron Copland (1900-1990) -- Symphony No.1, "Jeremiah" / Leonard Bernstein (1918-1990)
Educational technology - mapping the terrain with Bernstein as cartographer
This is the accepted version of the following article: Czerniewicz, L. 2010. Educational technology - mapping the terrain with Bernstein as cartographer. Journal of Computer Assisted Learning. 26(6): 523-534., which has been published in final form at: http://dx.doi.org/10.1111/j.1365-2729.2010.00359.x.This paper uses the literature of educational technology as the site of analysis in order to map the field of educational technology. Having considered Kuhn and Bourdieu's theories, the paper frames the analysis of the field in Bernsteinian terms as a horizontal knowledge structure in a vertical knowledge discourse. Using the concepts of interacting discursive planes, the paper maps the field in terms of its general approach planes and its problem planes. Finally, the paper shows that researchers in the field themselves acknowledge its weak grammar, and calls for commensurability of approaches to be acknowledged in order for robust knowledge to be developed and the legitimacy of the field to be enhanced
No. 269, Irving Bernstein, interview by Newell Bringhurst
Transcript (21 pages) of interview by Newell G. Bringhurst with UCLA political science professor Irving Bernstein, an associate of Fawn Brodie, on November 2, 1988. This interview is no. 269 in the Everett L. Cooley Oral History Project, and tape no. U-926Bernstein, a professor of political science at UCLA recalls his personal and professional relationship with Fawn McKay Brodie and her husband, Bernard Brodie. Interviewer: Newell Bringhurs
Szegö projections for hardy spaces of monogenic functions and applications
We introduce Szegö projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in □n. We use such projections to obtain explicit orthogonal decompositions for L 2 (bΩ). As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L 2, Clifford algebra-valued, boundary datum. © 2002 Hindawi Publishing Corporation. All rights reserved
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