117,086 research outputs found

    Circular Bernstein polynomial distributions

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    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

    Asymptotic properties of the Bernstein density copula for dependent data

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    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

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    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

    Abe Bernstein

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    Transcript (24 pages) of an interview by Ralph DeRose with Abe Bernstein on September 14, 1972. From tape number H-12 in the Jewish Oral History ProjectMr. Bernstein (b. 1907) recalls his childhood in Salt Lake City, his father\u27s participation in the formation of congregation Shaare Tzedek, his bar mitzvah, the Jewish cemetery, Prohibition and sacramental wine, the Maimonides (a Montefiore-sponsored club), his business experiences, and the Jewish community in Mexico City

    Das Moment der Ressourcenaktivierung im Ansatz der Integrativen Kinder- und Jugendlichenpsychotherapie: eine theoretische Skizze

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    Es werden die theoretischen Prämissen, Arbeits-und Behandlungsmodelle der von Hilarion Petzold in Zusammenarbeit mit Bruno Metzmacher, Helmut Zaepfel und Nitza Katz-Bernstein entwickelten Integrativen Psychotherapie für Kinder und Jugendliche, unter ressourcenorientierten Gesichtspunkten skizziert. Dieser multimodale Ansatz verbindet tiefenpsychologische, leibtherapeutische, kognitiv-behaviourale und systemisch-lebensweltliche Perspektiven.The chapter outlines the theoretical premises, working and treatment models of integrative psychotherapy for children and adolescents as developed by Hilarion Petzold in collaboration with Bruno Metzmacher, Helmut Zaepfel and Nitza Katz-Bernstein, under resource-oriented aspects. This multimodal approach combines depth psychology, bodytherapeutic, cognitive-behavioral and systemic-life-world perspectives.https://www.fpi-publikation.de/polyloge/07-2019-zaepfel-h-metzmacher-b-katz-bernstein-n-ressourcenaktivierung-kinder-u-jugendliche/peerReviewedpublishedVersio

    Abe and Sam Bernstein

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    Transcript (27 pages) of an interview by Hynda Rudd with Sam and Abe Bernstein on November 4, 1973. From tape number H-6 in the Jewish Oral History ProjectSam joins his brother, Abe, for this discussion of congregation Shaare Tzedek. Topics covered include ceremonies and observances, the new building in 1920, congregation Montefiore, orthodox weddings, synagogue social activities, the Maimonides, and Jewish cemeteries in Salt Lake City

    Claire Steres Bernstein

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    Transcript (37 pages) of an interview by Floyd A. O\u27Neil and Ralph DeRose with Claire Steres Bernstein on August 1, 1972. From tape number H-3 in the Jewish Oral History ProjectMrs. Bernstein (b. 1907), who was born in Vernal, recalls family stories of journeys from Russia and Manchuria, family life in Vernal, orthodox traditions at home, the move to Salt Lake City, and her experiences in the public school system. She also speaks of the family grocery store, living as a minority, politics, the Ku Klux Klan in the 1920s, congregation Montefiore and the bar mitzvah of various family members

    Glass advertising H. B. H. Bernstein

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    Glass advertising business. Cylindrical, widening at the top. Inscribed, decorated with American and Zionist/Israeli flags and star of David inscribed Zion. Inscription: H B H. BERNSTEIN 58 CANAL STREET NEW YORK 594 PITKIN AVE BROOKLYNDigital imagedigitize

    Accn 998, Interviews with Jews in Utah, Bernice Frank Bernstein

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    Transcript (34 pages) of interview by Joyce Kelen with Bernice Frank Bernstein on June 17, 1982 for the Interviews with Jews in Utah Project.This interview was conducted by Joyce Kelen. Mrs. Bernstein (b. 1913) talks about her parents\u27 life in Russia, their views as young radicals, and their emigration from Russia to the United States. She discusses the tensions between Russian and German Jews in th 1920s, and details her family\u27s situation during the Depression. She also remembers the tensions between B\u27nai Israel and Montefiore, World War II, Franklin D. Roosevelt, her involvement in B\u27nai Israel, the Jewish Family Service, and her work as a social worker. 34 pages
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