Probability and statistics

This book is about how statistics play a role in life, whether in business, psychology, biology, economics, or just about anything short of basket weaving.

This book provides readers with a comprehensive guide to designing rigorous and effective network science tools using the statistical software platforms Stata, R, and Python.

This text gives a comprehensive, largely self-contained treatment of multivariate heavy tail analysis.

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at the interface between probability and functional analysis.

This book is about how statistics play a role in life, whether in business, psychology, biology, economics, or just about anything short of basket weaving.

This book offers researchers and practitioners a concise and accessible guide to the essential concepts in statistics, emphasizing their proper application.

This book is structured to encompass both the foundational and specialized aspects of quantitative analysis in geography.

This book examines statistical models for frequency data.

This book introduces the gamma-divergence, a measure of distance between probability distributions that was proposed by Fujisawa and Eguchi in 2008.

This book presents a comprehensive, innovative, integrated, and empirically effective system for cross-sectionally analyzing prices of government bonds (GBs) and corporate bonds (CBs) to timely obtain practically useful information on yield curves and default curves.

This book delves into the intricate world of interval programming, offering a comprehensive exploration of mathematical programming problems characterized by interval data.

This book constitutes the refereed proceedings of the 2nd International Conference, ITMM 2023 and 14th International Workshop, WRQ 2023, held in Tomsk, Russia, during December 4-9, 2023.

This book constitutes the refereed proceedings of the 2nd International Conference, ITMM 2023 and 14th International Workshop, WRQ 2023, held in Tomsk, Russia, during December 4-9, 2023.

This book is devoted to real analysis methods for the problem of constructing Markov processes with boundary conditions in probability theory.

This book presents foundational concepts, essential principles, and practical applications of Item Response Theory (IRT).

How can we teach machine learning to identify causal patterns in data?

This book provides a comprehensive introduction to statistical approaches for the assessment of complex environmental exposures, such as pollutants and chemical mixtures, within the exposome framework.

This volume on the latest developments in statistical modelling is a collection of refereed papers presented at the 38th International Workshop on Statistical Modelling, IWSM 2024, held from 14 to 19 July 2024 in Durham, UK.

This graduate textbook on the statistical approach to data science describes the basic ideas, scientific principles and common techniques for the extraction of mathematical models from observed data.

This 2nd edition of the book focuses on the properties of stationary states in chaotic systems of particles or fluids, setting aside the theory of how these states are achieved.

This volume presents a comprehensive compilation of chapters whose topics were presented at the 2nd International Conference on Mathematical Analysis and Application in Modeling (CMAAM-2023), held at the Department of Mathematics & the Center for Mathematical Biology and Ecology, Jadavpur University, Kolkata, West Bengal, India, from 9-11 October 2023.

This graduate textbook on the statistical approach to data science describes the basic ideas, scientific principles and common techniques for the extraction of mathematical models from observed data.

This volume honors the life and legacy of renowned economist and econometrician Marc Nerlove, who passed away in July 2024.

This book presents a wide range of topics to address the needs of several groups of users of rapidly growing methods of generalized linear models.

This book presents a comprehensive, innovative, integrated, and empirically effective system for cross-sectionally analyzing prices of government bonds (GBs) and corporate bonds (CBs) to timely obtain practically useful information on yield curves and default curves.

This book gathers selected and peer-reviewed contributions presented at the 18th Conference of the International Federation of Classification Societies (IFCS 2024), held in San José, Costa Rica, July 15–19, 2024.

This book offers an original and broad exploration of the fundamental methods in Clustering and Combinatorial Data Analysis, presenting new formulations and ideas within this very active field.

This accessible text/reference provides a general introduction to probabilistic graphical models (PGMs) from an engineering perspective.

Thistimely text presents a comprehensive guide to genetic association, a new andrapidly expanding field that aims to elucidate how our genetic code (genotypes)influences the traits we possess (phenotypes).

This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into.

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible.

Value- and risk-oriented management is a holistic method of managing businesses.

The fascinating correspondence between Paul Levy and Maurice Frechet spans an extremely active period in French mathematics during the twentieth century.

Sampled-data Models for Linear and Nonlinear Systems provides a fresh new look at a subject with which many researchers may think themselves familiar.

This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.

The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation.

Backward stochastic differential equations with jumps can be used to solve problems in both finance and insurance.

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'.

Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface.

Presenting the first definitive study of the subject, this Handbook of Biometric Anti-Spoofing reviews the state of the art in covert attacks against biometric systems and in deriving countermeasures to these attacks.

Advanced Topics in Control and Estimation of State-Multiplicative Noisy Systems begins with an introduction and extensive literature survey.

Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors.

Markov decision process (MDP) models are widely used for modeling sequential decision-making problems that arise in engineering, economics, computer science, and the social sciences.

Economic Modeling Using Artificial Intelligence Methods examines the application of artificial intelligence methods to model economic data.

In honor of the work of Professor Shunji Osaki, Stochastic Reliability and Maintenance Modeling provides a comprehensive study of the legacy of and ongoing research in stochastic reliability and maintenance modeling.

Risk has been described in the past by a simple measure, such as the variance, and risk attitude is often considered simply a degree of risk aversion.

Speech is the most natural mode of communication and yet attempts to build systems which support robust habitable conversations between a human and a machine have so far had only limited success.

This brief introduces people with a basic background in probability theory to various problems in cancer biology that are amenable to analysis using methods of probability theory and statistics.

Monte Carlo simulation is one of the best tools for performing realistic analysis of complex systems as it allows most of the limiting assumptions on system behavior to be relaxed.

Quality Management in Reverse Logistics intends to develop, collect, examine and evaluate a number of quality management (QM) tools and techniques, which can be applied in practice in order to understand, review and improve any closed-loop supply chain process.