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1. |
Record Nr. |
UNINA9910483080903321 |
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Autore |
Zimmerman Dale L. |
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Titolo |
Linear Model Theory : With Examples and Exercises / / by Dale L. Zimmerman |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (XXI, 504 p. 14 illus.) |
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Disciplina |
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Soggetti |
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Statistics |
Algebras, Linear |
Statistical Theory and Methods |
Linear Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preface -- 1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Systems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP -- Index. |
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Sommario/riassunto |
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This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or |
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result is illustrated with one or more concrete examples or special cases. Commonly used methodologies based on the theory are presented in methodological interludes scattered throughout the book, along with a wealth of exercises that will benefit students and instructors alike. Generalized inverses are used throughout, so that the model matrix and various other matrices are not required to have full rank. Considerably more emphasis is given to estimability, partitioned analyses of variance, constrained least squares, effects of model misspecification, and most especially prediction than in many other textbooks on linear models. This book is intended for master and PhD students with a basic grasp of statistical theory, matrix algebra and applied regression analysis, and for instructors of linear models courses. Solutions to the book’s exercises are available in the companion volume Linear Model Theory - Exercises and Solutions by the same author. |
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2. |
Record Nr. |
UNINA9910483068003321 |
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Autore |
Mousa Mohanad |
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Titolo |
Multiscaled PVA Bionanocomposite Films : Characterisation and Nanoscale Modelling / / by Mohanad Mousa, Yu Dong |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 |
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ISBN |
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Edizione |
[1st ed. 2021.] |
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Descrizione fisica |
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1 online resource (XI, 179 p. 84 illus., 70 illus. in color.) |
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Disciplina |
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Soggetti |
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Surfaces (Physics) |
Materials - Analysis |
Microtechnology |
Microelectromechanical systems |
Biomaterials |
Surfaces (Technology) |
Thin films |
Ceramic materials |
Surface and Interface and Thin Film |
Characterization and Analytical Technique |
Microsystems and MEMS |
Surfaces, Interfaces and Thin Film |
Ceramics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter 1. Introduction -- Chapter 2 Materials, methodology and characterisation techniques -- Chapter 3 PVA/BC bionancomposite films with particle size effect -- Chapter 4 PVA bionanocomposite films with different particle shapes and structures -- Chapter 5 3D interphase of PVA bionanocomposite films -- Chapter 6 Micromechanical modelling of PVA bionanocomposite films. |
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Sommario/riassunto |
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This book highlights a novel and holistic approach to multiscaled PVA bionanocomposite films used for electrical sensing, medical and packaging applications. With a combination of material characterization and modeling to understand the effect of nanoparticle size and shape, as well as 3D interphase properties and features such as interphase modulus and nanoscale dimensions, this book substantiates how excellent mechanical and thermal properties of these materials are achieved. Also it addresses the importance of using economical and ecofriendly bionanocomposites as potential green materials to support the goal of environmental sustainability with multifunctional properties. |
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