Tag Archives: coefficients

Sensitivity Analysis in Linear Regression

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Sensitivity Analysis in Linear Regression
by Samprit Chatterjee, Ali S. Hadi
English | 1988 | ISBN: 0471822167 | 315 pages | PDF | 4.32 MB

Sensitivity Analysis in Linear Regression
"Treats linear regression diagnostics as a tool for application of linear regression models to real-life data. Presentation makes extensive use of examples to illustrate theory. Assesses the effect of measurement errors on the estimated coefficients, which is not accounted for in a standard least squares estimate but is important where regression coefficients are used to apportion effects due to different variables. Also assesses qualitatively and numerically the robustness of the regression fit."
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Optimal Models and Methods with Fuzzy Quantities

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Optimal Models and Methods with Fuzzy Quantities (Studies in Fuzziness and Soft Computing) by Bing-Yuan Cao
English | 2010-02-18 | ISBN: 3642107109 | PDF | 350 pages | 4 MB

Optimal Models and Methods with Fuzzy Quantities
The book contains ten chapters as follows, Prepare Knowledge, Regression and Self-regression Models with Fuzzy Coefficients; Regression and Self-regression Models with Fuzzy Variables, Fuzzy Input/output Model, Fuzzy Cluster Analysis and Fuzzy Recognition, Fuzzy Linear Programming, Fuzzy Geometric Programming, Fuzzy Relative Equation and Its Optimizing, Interval and Fuzzy Differential Equations and Interval and Fuzzy Functional and Their Variation.

It can not only be used as teaching materials or reference books for under-graduates in higher education, master graduates and doctor graduates in the courses of applied mathematics, computer science, artificial intelligence, fuzzy information process and automation, operations research, system science and engineering, and the like, but also serves as a reference book for researchers in these fields, particularly, for researchers in soft science.
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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory

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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory (Colloquium Publications) by Barry Simon
English | 2009 | ISBN: 0821848631 | 466 pages | PDF | 26,6 MB

Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg 's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by z (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.

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Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory

FREEDownload : Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory

Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory (Colloquium Publications) by Barry Simon
English | 2009 | ISBN: 0821848631 | 466 pages | PDF | 26,6 MB

Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg 's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by z (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line.

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WCF 4.0 Multi-tier Services Development with LINQ to Entities

WCF 4.0 Multi-tier Services Development with LINQ to Entities By Mike Liu
2010 | 348 Pages | ISBN: 1849681147 | PDF | 10 MB

Build SOA applications on the Microsoft platform with this hands-on guide updated for VS2010
Master WCF and LINQ to Entities concepts by completing practical examples and applying them to your real-world assignments
The first and only book to combine WCF and LINQ to Entities in a multi-tier real-world WCF service
Ideal for beginners who want to build scalable, powerful, easy-to-maintain WCF services
Rich with example code, clear explanations, interesting examples, and practical advice- a truly hands-on book for C++ and C# developers

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Efficient Algorithms for Discrete Wavelet Transform: With Applications to Denoising and Fuzzy Inference Systems

K K Shukla and Arvind K. Tiwari, "Efficient Algorithms for Discrete Wavelet Transform: With Applications to Denoising and Fuzzy Inference Systems"
English | ISBN: 1447149408 | 2013 | 125 pages | PDF | 3 MB
Due to its inherent time-scale locality characteristics, the discrete wavelet transform (DWT) has received considerable attention in signal/image processing. Wavelet transforms have excellent energy compaction characteristics and can provide perfect reconstruction. The shifting (translation) and scaling (dilation) are unique to wavelets. Orthogonality of wavelets with respect to dilations leads to multigrid representation. As the computation of DWT involves filtering, an efficient filtering process is essential in DWT hardware implementation. In the multistage DWT, coefficients are calculated recursively, and in addition to the wavelet decomposition stage, extra space is required to store the intermediate coefficients. Hence, the overall performance depends significantly on the precision of the intermediate DWT coefficients. This work presents new implementation techniques of DWT, that are efficient in terms of computation, storage, and with better signal-to-noise ratio in the reconstructed signal.

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