Kategoria BISAC: Mathematics >> Probability & Statistics - Multivariate Analysis

Fulfilling the need for a practical user s guide, Statistics in MATLAB: A Primer provides an accessible introduction to the latest version of MATLAB(r) and its extensive functionality for statistics. Assuming a basic knowledge of statistics and probability as well as a fundamental understanding of linear algebra concepts, this book:

• Covers capabilities in the main MATLAB package, the Statistics Toolbox, and the student version of MATLAB
• Presents examples of how MATLAB can be used to analyze data
• Offers access to a companion website with data sets and additional...

Semialgebraic Statistics and Latent Tree Models explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models.

The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with hidden variables. The author uses tensor geometry as a natural language to deal with multivariate probability distributions, develops new combinatorial tools to study models...

In honour of Professor Erkki Oja, one of the pioneers of Independent Component Analysis (ICA), this book reviews key advances in the theory and application of ICA, as well as its influence on signal processing, pattern recognition, machine learning, and data mining.

Examples of topics which have developed from the advances of ICA, which are covered in the book are:

• A unifying probabilistic model for PCA and ICA
• Optimization methods for matrix decompositions
• Insights into the FastICA algorithm
• Unsupervised deep learning
• Machine...

This book discusses equi-quantile values and their use in generating decision alternatives under the twofold complexities of uncertainty and dependence, offering scope for surrogating between two alternative portfolios when they are correlated. The book begins with a discussion on components of rationality and learning models as indispensable concepts in decision-making processes. It identifies three-fold complexities in such processes: uncertainty, dependence and dynamism.

The book is a novel attempt to seek tangible solutions for such decision problems. To do so, four hundred...

Longitudinal studies often incur several problems that challenge standard statistical methods for data analysis. These problems include non-ignorable missing data in longitudinal measurements of one or more response variables, informative observation times of longitudinal data, and survival analysis with intermittently measured time-dependent covariates that are subject to measurement error and/or substantial biological variation. Joint modeling of longitudinal and time-to-event data has emerged as a novel approach to handle these issues.