1,721,026 research outputs found
Inference in Multivariate Normal Populations with Structure. Part 1: Inference on Variances When Correlations Are Known
Get PDF1 online resource (PDF, 83 pages)Styan, George P. H.. (1968). Inference in Multivariate Normal Populations with Structure. Part 1: Inference on Variances When Correlations Are Known. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/199734
Notes on the Distribution of Quadratic Forms in Singular Normal Variables
No full text1 online resource (PDF, 12 pages)Styan, George P. H.. (1969). Notes on the Distribution of Quadratic Forms in Singular Normal Variables. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/199106
Inference in Multivariate Normal Populations with Structure. Part 2: Inference When Correlations Have Structure
Get PDF1 online resource (PDF, 107 pages)Styan, George P. H.. (1969). Inference in Multivariate Normal Populations with Structure. Part 2: Inference When Correlations Have Structure. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/199099
A Matrix Approach to Nonstationary Chains
Get PDF1 online resource (PDF, 35 pages)Harary,Frank; Lipstein, Benjamin; Styan, George P. H.. (1969). A Matrix Approach to Nonstationary Chains. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/199104
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
The Kantorovich inequality, with some extensions and with some statistical applications
No full textIn this thesis we focus on the "Kantorovich Inequality": {t prime At cdot t prime A sp{-1}t} over({t prime t) sp2}} le {{( lambda sb1+ lambda sb{n}) sp2} over {4 lambda sb1 lambda sb{n}}}, here t is a real vector and A is a real symmetric positive definite matrix, with and respectively, its (fixed) largest and smallest, necessarily positive, eigenvalues. We begin the thesis with five different proofs of the Kantorovich Inequality and continue by showing that it is equivalent to five closely related inequalities due, respectively, to Schweitzer (1914), Polya-Szego (1925), Krasnosel'skii-Krei n (1952), Cassels (1955) and Greub-Rheinboldt (1959). We also examine several related inequalities which admit the Kantorovich Inequality as a special case, including the Bloomfield-Watson-Knott Inequality, for which we give a proof based on that presented by Bloomfield and Watson (1975). We also show that there appears to be a lacuna in the "brief proof" given by Yang (1990). Some statistical applications conclude the thesis with special emphasis on the efficiency of the Ordinary Least Squares Estimator in the Gauss-Markov linear statistical model
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
The Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory /
No full textWe examine an 1880 theorem of Laguerre concerning polynomials with all real roots and a 1968 inequality of Samuelson for the maximum and minimum deviation from the mean, and establish their equivalence and present several proofs. We also study related inequalities attributed to (1) J. M. C. Scott (1936); (2) Brunk (1959); (3) Boyd (1971) & Hawkins (1971).Also examined is a 1918 inequality of Szokefalvi-Nagy and some 1935 extensions of Popoviciu concerning the standard deviation and range of a set of real numbers and equivalent inequalities for the internally Studentized range due to K. R. Nair in 1947/1948 and G. W. Thomson in 1955, as well as related bounds on the standard deviation attributed to (1) Guterman (1962); (2) Margaritescu-Voda (1983); (3) Bhatia-Davis (1999).Extensions and applications in statistics and matrix theory are provided, as well as biographical information and an extensive bibliography
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