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Enrique F Castillo
University of Cantabria
Department of Applied Mathematics and Computational Sciences
castie@unican.es

Books

2006
N Balakrishnan, Enrique Castillo, José María Sarabia (2006)  Advances in distribution theory, order statistics, and inference   Boston, MA: Birkhäuser Boston Inc.  
Abstract:
Notes: Selected papers from the International Conference on Distribution Theory, Order Statistics, and Inference held in honor of the 65th birthday of Barry C.\ Arnold at the University of Cantabria, Santander, June 16â18, 2004
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1999
Enrique Castillo, Angel Cobo, Francisco Jubete, Rosa Eva Pruneda (1999)  Orthogonal sets and polar methods in linear algebra   New York: John Wiley & Sons Inc.  
Abstract:
Notes: Applications to matrix calculations, systems of equations, inequalities, and linear programming, A Wiley-Interscience Publication
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Journal articles

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Barry C Arnold, Enrique Castillo, José María Sarabia (2002)  Conditionally specified multivariate skewed distributions   Sankhy\=a Ser. A 64: 2. 206-226  
Abstract:
Notes: Selected articles from San Antonio Conference in honour of C. R. Rao (San Antonio, TX, 2000)
Barry C Arnold, Enrique Castillo, José María Sarabia (2002)  Conditionally specified multivariate skewed distributions   Sankhy\=a Ser. A 64: 2. 206-226  
Abstract:
Notes: Selected articles from San Antonio Conference in honour of C. R. Rao (San Antonio, TX, 2000)
2001PAGES
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1997
Enrique Castillo, Andrés Iglesias (1997)  Some characterizations of families of surfaces using functional equations   ACM Transactions on Graphics 16: 3. 296-318 jul  
Abstract: In this article functional equations are used to characterize some families of surfaces. First, the most general surfaces in implicit form $f(x,y,z) = 0$, such that any arbitrary intersection with the planes $z = z0$, $y = y0$, and $x = x0$ are linear combinations of sets of functions of the other two variables, are characterized. It is shown that only linear combinations of tensor products of univariate functions are possible for $f(x,y,z)$. Second, we obtain the most general families of surfaces in explicit form such that their intersections with planes parallel to the planes $y = 0$ and $x = 0$ belong to two, not necessarily equal, parametric families of curves. Finally, functional equations are used to analyze the uniqueness of representation of Gordon-Coons surfaces. Some practical examples are used to illustrate the theoretical results.
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Book chapters

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Conference papers

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