On the Characterization of Nonnegatively Estimable Linear Combinations of Variance Components.

1985 ◽  
Author(s):  
T. Mathew
Keyword(s):  
Variance Components ◽  
Linear Combinations

Confidence intervals on linear combinations of variance components that are unrestricted in sign

1990 ◽  
Vol 35 (3-4) ◽  
pp. 135-143 ◽  
Author(s):  
Naitee Ting ◽  
Richard K. Burdick ◽  
Franklin A. Graybill ◽  
S. Jeyaratnam ◽  
Tai-Fang C. Lu
Keyword(s):  
Confidence Intervals ◽  
Variance Components ◽  
Linear Combinations

The Effective Cone of the Kontsevich Moduli Space

2008 ◽  
Vol 51 (4) ◽  
pp. 519-534 ◽  
Author(s):  
Izzet Coskun ◽  
Joe Harris ◽  
Jason Starr
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Complete Characterization ◽  
Stable Maps ◽  
Linear Combinations ◽  
Effective Divisors ◽  
Effective Cone

AbstractIn this paper we prove that the cone of effective divisors on the Kontsevich moduli spaces of stable maps, , stabilize when r ≥ d. We give a complete characterization of the effective divisors on . They are non-negative linear combinations of boundary divisors and the divisor of maps with degenerate image.

Genotype × environment interactions and environmental adaptation. II. Assessment of environmental contributions

1977 ◽  
Vol 28 (2) ◽  
pp. 223 ◽  
Author(s):  
R Shorter ◽  
DE Byth ◽  
VE Mungomery
Keyword(s):  
Variance Components ◽  
Seed Protein ◽  
Pattern Analysis ◽  
Analysis Approach ◽  
General Strategy ◽  
Testing Strategies ◽  
Environmental Interactions ◽  
Relative Line ◽  
Selection Of

A pattern analysis approach, based on classification and ordination, is presented for the characterization of environmental contributions to differences among lines in mean performance and response across environments. Other approaches to the analysis of line performance and environmental interactions are also considered. A population of soybean lines is used to illustrate the analyses for two characters, seed yield and seed protein percentage. In general, correlation of line performance over environments indicated that only moderate similarity of relative line performance existed over years or locations. These associations did not provide a clear basis for rationalization of test sites. Partitioning of variance components allowed a general strategy for sampling environments to be defined. Marked differences existed among environments for their contribution to environmental interaction, and these generally were consistent among locations for the two years of testing. Classificatory and ordination analyses were applied separately, and the contributions of each of the test environments were determined. These procedures confirmed that large differences in line response existed among environments, and provided additional and complementary information about the contributions of particular test environments to those differences. The effect of abandoning particular test sites on the recognition of differences among lines was examined by pattern analysis. The implications of the information gained through the pattern analysis approach in the development of testing strategies, and in the selection of test environments for specific objectives, are discussed.

scholarly journals Convolution operators on weighted spaces of continuous functions and supremal convolution

2019 ◽  
Vol 199 (4) ◽  
pp. 1547-1569
Author(s):  
T. Kleiner ◽  
R. Hilfer
Keyword(s):  
Continuous Functions ◽  
Weighted Spaces ◽  
Constructive Method ◽  
Convolution Operators ◽  
Linear Combinations ◽  
The Third ◽  
Bounded Set ◽  
Spaces Of Continuous Functions ◽  
Bounded Sets

AbstractThe convolution of two weighted balls of measures is proved to be contained in a third weighted ball if and only if the supremal convolution of the corresponding two weights is less than or equal to the third weight. Here supremal convolution is introduced as a type of convolution in which integration is replaced with supremum formation. Invoking duality the equivalence implies a characterization of equicontinuity of weight-bounded sets of convolution operators having weighted spaces of continuous functions as domain and range. The overall result is a constructive method to define weighted spaces on which a given set of convolution operators acts as an equicontinuous family of endomorphisms. The result is applied to linear combinations of fractional Weyl integrals and derivatives with orders and coefficients from a given bounded set.

scholarly journals A characterization of the four Chebyshev orthogonal families

2005 ◽  
Vol 2005 (13) ◽  
pp. 2071-2079 ◽  
Author(s):  
E. Berriochoa ◽  
A. Cachafeiro ◽  
J. M. Garcia-Amor
Keyword(s):  
Orthogonal Polynomial ◽  
Orthogonal Polynomials ◽  
Linear Combinations ◽  
Classical Orthogonal Polynomial ◽  
Polynomial Sequences ◽  
Fixed Length ◽  
Constant Coefficients ◽  
Fourth Kind

We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear combinations, with fixed length and constant coefficients, can be orthogonal polynomial sequences.

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