Lectures on Probability Theory

Lectures on Probability Theory
Author: Philippe Biane
Publisher: Springer
Total Pages: 217
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540494022

This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.

Stochastic Modeling

Stochastic Modeling
Author: Nicolas Lanchier
Publisher: Springer
Total Pages: 305
Release: 2017-01-27
Genre: Mathematics
ISBN: 3319500384

Three coherent parts form the material covered in this text, portions of which have not been widely covered in traditional textbooks. In this coverage the reader is quickly introduced to several different topics enriched with 175 exercises which focus on real-world problems. Exercises range from the classics of probability theory to more exotic research-oriented problems based on numerical simulations. Intended for graduate students in mathematics and applied sciences, the text provides the tools and training needed to write and use programs for research purposes. The first part of the text begins with a brief review of measure theory and revisits the main concepts of probability theory, from random variables to the standard limit theorems. The second part covers traditional material on stochastic processes, including martingales, discrete-time Markov chains, Poisson processes, and continuous-time Markov chains. The theory developed is illustrated by a variety of examples surrounding applications such as the gambler’s ruin chain, branching processes, symmetric random walks, and queueing systems. The third, more research-oriented part of the text, discusses special stochastic processes of interest in physics, biology, and sociology. Additional emphasis is placed on minimal models that have been used historically to develop new mathematical techniques in the field of stochastic processes: the logistic growth process, the Wright –Fisher model, Kingman’s coalescent, percolation models, the contact process, and the voter model. Further treatment of the material explains how these special processes are connected to each other from a modeling perspective as well as their simulation capabilities in C and MatlabTM.

Competition and Growth

Competition and Growth
Author: J. K. Sengupta
Publisher: Springer
Total Pages: 185
Release: 2004-10-14
Genre: Business & Economics
ISBN: 0230505317

Jati K. Sengupta examines the market dynamics of the evolution of industry and the impact of new technology with R&D and knowledge capital. The book builds the theory of innovations in the contexts of the high-tech industries of today such as computing and telecommunications.

Ecology

Ecology
Author: Michael Begon
Publisher: John Wiley & Sons
Total Pages: 864
Release: 2020-11-11
Genre: Science
ISBN: 1119279372

A definitive guide to the depth and breadth of the ecological sciences, revised and updated The revised and updated fifth edition of Ecology: From Individuals to Ecosystems – now in full colour – offers students and practitioners a review of the ecological sciences. The previous editions of this book earned the authors the prestigious ‘Exceptional Life-time Achievement Award’ of the British Ecological Society – the aim for the fifth edition is not only to maintain standards but indeed to enhance its coverage of Ecology. In the first edition, 34 years ago, it seemed acceptable for ecologists to hold a comfortable, objective, not to say aloof position, from which the ecological communities around us were simply material for which we sought a scientific understanding. Now, we must accept the immediacy of the many environmental problems that threaten us and the responsibility of ecologists to play their full part in addressing these problems. This fifth edition addresses this challenge, with several chapters devoted entirely to applied topics, and examples of how ecological principles have been applied to problems facing us highlighted throughout the remaining nineteen chapters. Nonetheless, the authors remain wedded to the belief that environmental action can only ever be as sound as the ecological principles on which it is based. Hence, while trying harder than ever to help improve preparedness for addressing the environmental problems of the years ahead, the book remains, in its essence, an exposition of the science of ecology. This new edition incorporates the results from more than a thousand recent studies into a fully up-to-date text. Written for students of ecology, researchers and practitioners, the fifth edition of Ecology: From Individuals to Ecosystems is anessential reference to all aspects of ecology and addresses environmental problems of the future.

Stochastic Models of Tumor Latency and Their Biostatistical Applications

Stochastic Models of Tumor Latency and Their Biostatistical Applications
Author: Andrej Yu Yakovlev
Publisher: World Scientific
Total Pages: 287
Release: 1996
Genre: Medical
ISBN: 9810218311

This research monograph discusses newly developed mathematical models and methods that provide biologically meaningful inferences from data on cancer latency produced by follow-up and discrete surveillance studies. Methods for designing optimal strategies of cancer surveillance are systematically presented for the first time in this book. It offers new approaches to the stochastic description of tumor latency, employs biologically-based models for making statistical inference from data on tumor recurrence and also discusses methods of statistical analysis of data resulting from discrete surveillance strategies. It also offers insight into the role of prognostic factors based on the interpretation of their effects in terms of parameters endowed with biological meaning, as well as methods for designing optimal schedules of cancer screening and surveillance. Last but not least, it discusses survival models allowing for cure rates and the choice of optimal treatment based on covariate information, and presents numerous examples of real data analysis.

Individual-Based Models and Approaches In Ecology

Individual-Based Models and Approaches In Ecology
Author: D. L. DeAngelis
Publisher: CRC Press
Total Pages: 577
Release: 2018-01-18
Genre: Mathematics
ISBN: 1351090364

Until fairly recently, populations were handled as homogenized averages, which made modeling feasible but which ignored the essential fact that in any population there is a great variety of individuals of different ages, sizes, and degrees of fitness. Recently, because of the increased availability of affordable computer power, approaches have been developed which are able to recognize individual differences. Individual-based models are of great use in the areas of aquatic ecology, terrestrial ecology, landscape or physiological ecology, terrestrial ecology, landscape or physiological ecology, and agriculture. This book discusses which biological problems individual-based models can solve, as well as the models' inherent limitations. It explores likely future directions of theoretical development in these models, as well as currently feasible management applications and the best mathematical approaches and computer languages to use. The book also details specific applications to theory and management.

Probability and Phase Transition

Probability and Phase Transition
Author: G.R. Grimmett
Publisher: Springer Science & Business Media
Total Pages: 334
Release: 2013-04-17
Genre: Science
ISBN: 9401583269

This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Handbook of Environmental and Ecological Modeling

Handbook of Environmental and Ecological Modeling
Author: Sven E. Jorgensen
Publisher: CRC Press
Total Pages: 698
Release: 2017-11-22
Genre: Technology & Engineering
ISBN: 1351442872

With descriptions of hundreds of the most important environmental and ecological models, this handbook is a unique and practical reference source. The Handbook of Environmental and Ecological Modeling is ideal for those working in environmental modeling, including regulators and managers who wish to understand the models used to make assessments. Overviews of more than 360 models are easily accessed in this handbook, allowing readers to quickly locate information they need about models available in a given ecosystem. The material in the Handbook of Environmental and Ecological Modeling is logically arranged according to ecosystem. Each of the sixteen chapters of the handbook covers a particular ecosystem, and includes not only the descriptions of the models, but also an overview of the state-of-the-art in modeling for that particular ecosystem. A summary of the spectrum of available models is also provided in each chapter. The extensive table of contents and the easy-to-use index put materials immediately at your fingertips.

Recent Advances in Stochastic Modeling and Data Analysis

Recent Advances in Stochastic Modeling and Data Analysis
Author: Christos H. Skiadas
Publisher: World Scientific
Total Pages: 669
Release: 2007
Genre: Computers
ISBN: 9812709681

This volume presents the most recent applied and methodological issues in stochastic modeling and data analysis. The contributions cover various fields such as stochastic processes and applications, data analysis methods and techniques, Bayesian methods, biostatistics, econometrics, sampling, linear and nonlinear models, networks and queues, survival analysis, and time series. The volume presents new results with potential for solving real-life problems and provides novel methods for solving these problems by analyzing the relevant data. The use of recent advances in different fields are emphasized, especially new optimization and statistical methods, data warehouse, data mining and knowledge systems, neural computing, and bioinformatics.

The Rise and Fall of Business Firms

The Rise and Fall of Business Firms
Author: S. V. Buldyrev
Publisher: Cambridge University Press
Total Pages: 239
Release: 2020-08-13
Genre: Business & Economics
ISBN: 1107175488

Combining a statistical physics approach and rigorous econometric analysis, this new framework looks at growth and decline in business firms.