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Potential theory (Mathematics) --- Harmonic functions --- Martingales (Mathematics) --- Potentiel, Théorie du --- Fonctions harmoniques --- Martingales (Mathématiques) --- 517.57 --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Stochastic processes --- Functions, Harmonic --- Laplace's equations --- Bessel functions --- Differential equations, Partial --- Fourier series --- Harmonic analysis --- Lamé's functions --- Spherical harmonics --- Toroidal harmonics --- Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions --- Harmonic functions. --- Martingales (Mathematics). --- Potential theory (Mathematics). --- 517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions --- Potentiel, Théorie du --- Martingales (Mathématiques) --- Mathematical potential theory --- Probability theory --- Processus stochastiques --- Probabilités. --- Probabilities

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Stochastic processes --- Mathematical potential theory --- Brownian movements --- Potential theory (Mathematics) --- Markov processes --- Mouvement brownien --- Potentiel, Théorie du --- Markov, Processus de --- Potential, Theory of --- 519.218 --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Mathematical analysis --- Mechanics --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Capillarity --- Liquids --- Matter --- Special stochastic processes --- Properties --- 519.218 Special stochastic processes --- Potentiel, Théorie du

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Green's functions --- Many-body problem --- Solid state physics --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Functions, Green's --- Functions, Induction --- Functions, Source --- Green functions --- Induction functions --- Source functions --- Problème des N corps --- Green, Fonctions de --- Physique de l'état solide --- Statistical physics --- Physics --- Solids --- Mechanics, Analytic --- Differential equations --- Potential theory (Mathematics) --- Solid state physics. --- Many-body problem. --- Green's functions. --- Problème des N corps

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Partial differential equations --- Boundary value problems --- Green's functions --- Mathematical physics --- Problèmes aux limites --- Green, Fonctions de --- Physique mathématique --- 517.95 --- Physical mathematics --- Physics --- Functions, Green's --- Functions, Induction --- Functions, Source --- Green functions --- Induction functions --- Source functions --- Differential equations --- Potential theory (Mathematics) --- Boundary conditions (Differential equations) --- Functions of complex variables --- Initial value problems --- Mathematics --- Boundary value problems. --- Green's functions. --- Mathematical physics. --- 517.95 Partial differential equations --- Problèmes aux limites --- Physique mathématique --- Differential equations, Linear --- Équations aux dérivées partielles linéaires --- Équations différentielles linéaires

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Univariate statistical analysis is concerned with techniques for the analysis of a single random variable. This book is about applied multivariate analysis. It was written to p- vide students and researchers with an introduction to statistical techniques for the ana- sis of continuous quantitative measurements on several random variables simultaneously. While quantitative measurements may be obtained from any population, the material in this text is primarily concerned with techniques useful for the analysis of continuous obser- tions from multivariate normal populations with linear structure. While several multivariate methods are extensions of univariate procedures, a unique feature of multivariate data an- ysis techniques is their ability to control experimental error at an exact nominal level and to provide information on the covariance structure of the data. These features tend to enhance statistical inference, making multivariate data analysis superior to univariate analysis. While in a previous edition of my textbook on multivariate analysis, I tried to precede a multivariate method with a corresponding univariate procedure when applicable, I have not taken this approach here. Instead, it is assumed that the reader has taken basic courses in multiple linear regression, analysis of variance, and experimental design. While students may be familiar with vector spaces and matrices, important results essential to multivariate analysis are reviewed in Chapter 2. I have avoided the use of calculus in this text.

Mathematical statistics --- Multivariate analysis. --- Analyse multivariée --- Multivariate analysis --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- #SBIB:303H520 --- Methoden sociale wetenschappen: techniek van de analyse, algemeen --- -519.535 --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Matrices --- Electronic information resources --- E-books --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Potential theory (Mathematics). --- Probabilities. --- Statistics. --- Analysis. --- Potential Theory. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Statistics for Social Science, Behavioral Science, Education, Public Policy, and Law. --- Global analysis (Mathematics). --- Distribution (Probability theory. --- Mathematical statistics. --- Statistics for Social Sciences, Humanities, Law. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistics . --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- 517.1 Mathematical analysis