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How can environmental regulators use information on 48-hour toxicity tests to predict the impacts of a few minutes of pollution? Or, at the other extreme, what is the relevance of 96-hour toxicity data for organisms that may have been exposed to a pollutant for six months or a couple of years? The key to answering these types of questions lies in the time-course of toxic effect. Risk Assessment with Time to Event Models is the first comprehensive treatment of these time-to event methods in the context of ecological risk assessment. Leading experts from industry, academia, and government regulatory agencies explain how these methods can be used to improve risk assessment.
Actuarial mathematics --- Environmental risk assessment --- Methodology.
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Actuarial mathematics --- Planning (firm) --- Corporate finance
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Mathematics in Medicine and the Life Sciences grew from lectures given by the authors at New York University, the University of Utah, and Michigan State University. The material is written for students who have had but one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well, and solutions to selected exercises are included. Numerous illustrations depict physiological processes, population biology phenomena, models of them, and the results of computer simulations. Mathematical models and methods are becoming increasingly important in medicine and the life sciences. This book provides an introduction to a wide diversity of problems ranging from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models. Materials that deal with the same topics but in greater depth are included later. Finally, exercises and some solutions are given to test the reader on important parts of the material in the text, or to lead the reader to the discovery of interesting extensions of that material.
Biomathematics. --- Physiology --- Population biology --- Mathematics. --- Biomathematics --- 51-7 --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Biology --- Ecology --- Animal physiology --- Animals --- Anatomy --- Mathematics --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Population biology - Mathematics --- Physiology - Mathematics
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Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.
International finance --- Actuarial mathematics --- Derivative securities --- Business mathematics --- Mathématiques financières --- Prices --- Mathematics --- Mathematical Sciences --- General and Others --- Business mathematics. --- Mathematics.
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mathematische modellen --- cartografie --- Geodesy. Cartography --- Mathematical geography. --- Cartography --- 51-7 --- Mathematical geography --- 528.9 --- Cartography, Primitive --- Chartography --- Map-making --- Mapmaking --- Mapping (Cartography) --- Surveying --- Map projection --- Maps --- Geography, Mathematical --- Geography --- Astronomical geography --- Geodesy --- Geographical positions --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Cartography. Mapping (textual documents) --- 528.9 Cartography. Mapping (textual documents) --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc
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The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students.
Mathematical control systems --- Partial differential equations --- Operational research. Game theory --- Differential equations, Elliptic --- Differential equations, Nonlinear --- Numerical solutions. --- Numerical solutions --- 517.956.2 --- 51-7 --- 517.957 --- -Differential equations, Nonlinear --- -Nonlinear differential equations --- Nonlinear theories --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Elliptic equations and systems. Potential theory. Potentials --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Nonlinear equations systems --- -Elliptic equations and systems. Potential theory. Potentials --- 517.957 Nonlinear equations systems --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 517.956.2 Elliptic equations and systems. Potential theory. Potentials --- -517.957 Nonlinear equations systems --- Nonlinear differential equations --- Numerical analysis --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Partial differential equations. --- Partial Differential Equations. --- Differential equations, Elliptic - Numerical solutions --- Differential equations, Nonlinear - Numerical solutions
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This short textbook on the mathematics of genome analysis presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing. It will be of interest not only to students but also to professional mathematicians curious about the subject.
Biomathematics. Biometry. Biostatistics --- Mathematical statistics --- Genetics --- Gene mapping --- Génétique --- Cartes chromosomiques --- Mathematical models --- Statistical methods --- Modèles mathématiques --- Méthodes statistiques --- 51-7 --- 57 --- 519.2 --- -Genetics --- -Gene mapping --- -Chromosome mapping --- Genetic mapping --- Genome mapping --- Linkage mapping (Genetics) --- Mapping, Gene --- Biology --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Biologische wetenschappen in het algemeen. Biologie --- Probability. Mathematical statistics --- Technique --- Mathematical models. --- Statistical methods. --- Gene mapping. --- Gene mapping - Mathematical models. --- Genetics. --- Statistics as Topic --- Documentation --- Genetic Techniques --- Genetic Structures --- Models, Theoretical --- Information Services --- Epidemiologic Methods --- Investigative Techniques --- Genetic Phenomena --- Health Care Evaluation Mechanisms --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Quality of Health Care --- Public Health --- Information Science --- Phenomena and Processes --- Environment and Public Health --- Health Care Quality, Access, and Evaluation --- Health Care --- Chromosome Mapping --- Molecular Sequence Data --- Genome --- Models, Statistical --- Health & Biological Sciences --- -Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 519.2 Probability. Mathematical statistics --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- -519.2 Probability. Mathematical statistics --- Chromosome mapping --- Génétique --- Modèles mathématiques --- Méthodes statistiques --- Biomathematics --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc
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This text has been written by a renowned statistician and a practising actuary, primarily as an introduction to the basics of the actuarial mathematics of life insurance. Since it attempts to derive the results in a mathematically rigorous way, the concepts and techniques of one-variable calculus and probability theory have been used throughout. Topics dealt with include important concepts of financial mathematics; the concept of interests; annuities-certain; mortality theory; different types of life insurances; stochastic cash flows in general and pure endowments, whole life and term insurances, endowments, and life annuities in particular; premium calculations; reserves; mortality profit; and negative reserves. The book contains many systematically solved examples showing the practical applications of the theory presented. Solving the problems at the end of each section is essential for understanding the material. Answers to odd-numbered problems are given at the end of the volume.
Actuarial mathematics --- Business. --- Management science. --- Economic theory. --- Statistics . --- Operations research. --- Decision making. --- Business and Management, general. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Operations Research/Decision Theory. --- Economic theory --- Political economy --- Social sciences --- Economic man --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Trade --- Economics --- Commerce --- Industrial management --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Decision making --- Statistics. --- Théorie des assurances
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