Find tips, reviews, and features on Poisson Processes Oxford Studies in sold for 56.09 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Two fundamental theories are commonly debated in the study of random processes the Bachelier Wiener model of Brownian motion which has been the subject of many books and the Poisson process While nearly every book mentions the Poisson process most hurry past to more general point processes or to Markov chains This comparative neglect is ill judged and stems from a lack of perception of the real importance of the Poisson process This distortion partly comes about from a restriction to one dimension while the theory becomes more natural in more general contexts This book attempts to redress the balance It records the authors fascination with the beauty and wide applicability of Poisson processes in one or more dimensions The mathematical theory is powerful and a few key results often produce surprising consequences
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Find tips, reviews, and features on Poisson Approximation Oxford Studies in sold for 227.99 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
The Poisson law of small numbers is a central principle in modern theories of reliability insurance and the statistics of extremes It also has ramifications in apparently unrelated areas such as the description of algebraic and combinatorial structures and the distribution of prime numbers Yet despite its importance the law of small numbers is only an approximation In 1975 however a new technique was introduced the SteinChen method which makes it possible to estimate the accuracy of the approximation in a wide range of situations This book provides an introduction to the method and a varied selection of examples of its application emphasizing the flexibility of the technique when combined with a judicious choice of coupling It also contains more advanced material in particular on compound Poisson and Poisson process approximation where the reader is brought to the boundaries of current knowledge The study will be of special interest to postgraduate students and researchers in applied probability as well as computer scientists
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Explore tips, opinions, and features on Poisson Approximation Oxford Studies in sold at 218.3 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
The Poisson law of small numbers is a central principle in modern theories of reliability insurance and the statistics of extremes It also has ramifications in apparently unrelated areas such as the description of algebraic and combinatorial structures and the distribution of prime numbers Yet despite its importance the law of small numbers is only an approximation In 1975 however a new technique was introduced the SteinChen method which makes it possible to estimate the accuracy of the approximation in a wide range of situations This book provides an introduction to the method and a varied selection of examples of its application emphasizing the flexibility of the technique when combined with a judicious choice of coupling It also contains more advanced material in particular on compound Poisson and Poisson process approximation where the reader is brought to the boundaries of current knowledge The study will be of special interest to postgraduate students and researchers in applied probability as well as computer scientists
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This work is devoted to several problems of parametric mainly and nonparametric estimation through the observation of Poisson processes defined on general spaces Poisson processes are quite popular in applied research and therefore they attract the attention of many statisticians There are a lot of good books on point processes and many of them contain chapters devoted to statistical inference for general and partic ular models of processes There are even chapters on statistical estimation problems for inhomogeneous Poisson processes in asymptotic statements Nevertheless it seems that the asymptotic theory of estimation for nonlinear models of Poisson processes needs some development Here nonlinear means the models of inhomogeneous Pois son processes with intensity function nonlinearly depending on unknown parameters In such situations the estimators usually cannot be written in exact form and are given as solutions of some equations However the models can be quite fruitful in en gineering problems and the existing computing algorithms are sufficiently powerful to calculate these estimators Therefore the properties of estimators can be interesting too
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Find tips, reviews, and features on Poisson Processes sold for 103.03 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
Two fundamental theories are commonly debated in the study of random processes the Bachelier Wiener model of Brownian motion which has been the subject of many books and the Poisson process While nearly every book mentions the Poisson process most hurry past to more general point processes or to Markov chains This comparative neglect is ill judged and stems from a lack of perception of the real importance of the Poisson process This distortion partly comes about from a restriction to one dimension while the theory becomes more natural in more general contexts This book attempts to redress the balance It records the authors fascination with the beauty and wide applicability of Poisson processes in one or more dimensions The mathematical theory is powerful and a few key results often produce surprising consequences
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