A generalization of the variation diminishing property

1995 ◽  
Vol 3 (4) ◽  
pp. 375-394 ◽  
Author(s):  
J. M. Carnicer ◽  
T. N. T. Goodman ◽  
J. M. Peña
Keyword(s):  
Variation Diminishing ◽  
Variation Diminishing Property

Crossing Properties of Mixture Distributions

1989 ◽  
Vol 3 (3) ◽  
pp. 355-366 ◽  
Author(s):  
Philip J. Boland ◽  
Frank Proschan ◽  
Y. L. Tong
Keyword(s):  
Mixture Distributions ◽  
Variation Diminishing ◽  
Gamma Distributions ◽  
Totally Positive ◽  
Variation Diminishing Property ◽  
Positive Functions ◽  
Family Of Distributions

Mixture distributions are a frequently used tool in modelling random phenomena. We consider mixtures of densities from a one-parameter exponenvial family of distributions. Using the tools of totally positive functions and the variation-diminishing property of such, we study the effect of sign-crossing properties of two mixing densities μ1 and μ2 on the resulting mixture distributions f1 and f2. The results enable us to make stochastic and variability cornparisons for binomial-beta, mixed Weibull, and mixed gamma distributions.

A refinement of the variation diminishing property of Bézier curves

2010 ◽  
Vol 27 (2) ◽  
pp. 202-211 ◽  
Author(s):  
Rachid Ait-Haddou ◽  
Taishin Nomura ◽  
Luc Biard
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Variation Diminishing ◽  
Variation Diminishing Property

Interpolatory and variation-diminishing properties of generalized B-splines

1984 ◽  
Vol 96 (3-4) ◽  
pp. 249-259 ◽  
Author(s):  
T. N. T. Goodman ◽  
S. L. Lee
Keyword(s):  
Complex Polynomial ◽  
Polynomial Splines ◽  
Decomposition Property ◽  
B Splines ◽  
Variation Diminishing ◽  
Variation Diminishing Property ◽  
Finite Set ◽  
Class Of Functions

SynopsisWe consider classes of functions satisfying certain simple criteria of sign and smoothness and a decomposition property. It is known that these properties are possessed by Chebysheffian B-splines and it is shown here that they are also possessed by certain trigonometric B-splines. For such a class of functions, we derive a variation-diminishing property and analyse interpolation both on a finite set of nodes and on an infinite, periodically spaced set of nodes. The results are also applied to interpolation by complex polynomial splines on the circle.

On the Variation-Diminishing Property

1998 ◽  
Vol 33 (1-2) ◽  
pp. 96-105 ◽  
Author(s):  
Ioan Gavrea ◽  
Heinz H. Gonska ◽  
Daniela P. Kacsó
Keyword(s):  
Variation Diminishing ◽  
Variation Diminishing Property

Global smoothness preservation and the variation-diminishing property

1999 ◽  
Vol 1999 (2) ◽  
pp. 126510 ◽  
Author(s):  
Claudia Cottin ◽  
Ioan Gavrea ◽  
Heinz H Gonska ◽  
Daniela P Kacsó ◽  
Ding-Xuan Zhou
Keyword(s):  
Global Smoothness Preservation ◽  
Variation Diminishing ◽  
Variation Diminishing Property ◽  
Global Smoothness
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