Download or read book Doubly Stochastic Poisson Processes written by J. Grandell and published by Springer. This book was released on 2006-11-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Weil s Representation and the Spectrum of the Metaplectic Group written by Jan Grandell and published by . This book was released on 1976 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book State dependent thinning of doubly stochastic poisson processes written by Günter Last and published by . This book was released on 1988 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Stochastic Processes written by Mario Lefebvre and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a distinctly applied framework to present the most important topics in stochastic processes, including Gaussian and Markovian processes, Markov Chains, Poisson processes, Brownian motion and queueing theory. The book also examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes. It contains numerous examples and approximately 350 advanced problems that reinforce both concepts and applications. Entertaining mini-biographies of mathematicians give an enriching historical context. The book includes statistical tables and solutions to the even-numbered problems at the end.
Download or read book Recursive Estimation of Doubly Stochastic Poisson Processes with Application to Low Photon Imaging written by Vinaykumar K. Ingle and published by . This book was released on 1981 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Inference for Doubly Stochastic Poisson Processes written by Anders Tolver Jensen and published by . This book was released on 2005 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Application of Doubly Stochastic Poisson Process Estimation Techniques to Optical Communication Through Log normal Fading Channels written by John G. Romanski and published by . This book was released on 1976 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Poisson Process written by Günter Last and published by Cambridge University Press. This book was released on 2017-10-26 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
Download or read book Nonparametric Studies of Doubly Stochastic Poisson Processes Binomial Data and High Dimension Low Sample Size Data written by Tingting Zhang and published by . This book was released on 2008 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: We illustrate through examples that those nonparametric Bayes estimates based on the Bernstein-Dirichlet process are more robust to sample variation and tend to have smaller estimation errors than those based on the Dirichlet process. In certain settings, the new estimators can even outperform Stein's estimator and Efron and Morris's limited translation estimator. Chapter 3 examines the asymptotic behavior of the correlation pursuit stepwise variable selection procedure that has been proposed recently by (Zhong et al ., 2008). More specifically, we analyze the asymptotic distribution of the test statistics under the null hypothesis of no effect for selected predictors and the power of the test under the alternative hypothesis. We also compare the new procedure with the classical linear regression algorithm for linear models, and discuss the possibility of generalizing the method to multiple index models.
Download or read book The Use of Doubly Stochastic Poisson Processes in Estimating Health Effects Due to Air Pollution written by Columbia University. Department of Mathematics and published by . This book was released on 1977 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonparametric Estimation of the Generating Function of the Intensity Function Process of a Doubly Stochastic Poisson Process written by Kuang-Hua Daphne Chou and published by . This book was released on 2002 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Poisson Point Processes written by Roy L. Streit and published by Springer Science & Business Media. This book was released on 2010-09-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Poisson Point Processes provides an overview of non-homogeneous and multidimensional Poisson point processes and their numerous applications. Readers will find constructive mathematical tools and applications ranging from emission and transmission computed tomography to multiple target tracking and distributed sensor detection, written from an engineering perspective. A valuable discussion of the basic properties of finite random sets is included. Maximum likelihood estimation techniques are discussed for several parametric forms of the intensity function, including Gaussian sums, together with their Cramer-Rao bounds. These methods are then used to investigate: -Several medical imaging techniques, including positron emission tomography (PET), single photon emission computed tomography (SPECT), and transmission tomography (CT scans) -Various multi-target and multi-sensor tracking applications, -Practical applications in areas like distributed sensing and detection, -Related finite point processes such as marked processes, hard core processes, cluster processes, and doubly stochastic processes, Perfect for researchers, engineers and graduate students working in electrical engineering and computer science, Poisson Point Processes will prove to be an extremely valuable volume for those seeking insight into the nature of these processes and their diverse applications.
Download or read book Adaptive Estimation of Doubly Stochastic Poisson Processes with Application to Adaptive Optics written by Robert B. Asher and published by . This book was released on 1976 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optimal adaptive estimator structures for a class of doubly stochastic Poisson processes (DSPP) are presented. The structure is used along with a moment assumption to obtain implementable estimators. The class of DSPP considered is that of a linear Markov diffusion process modulating a linear intensity rate. The uncertainty for which the adaptation process is developed includes both structure uncertainty in the Markov diffusion process, and parameter uncertainty in the Markov diffusion process and the intensity rate process. Results are given on the problem of adaptation of which of a finite number of Markov realizations is modulating the intensity process. The nonlinear adaptive estimator structures are obtained by use of a particular theorem that yields an optimal structure for the adaptive estimator. The structure is used to obtain a quasi-optimal adaptive estimator for the problem by use of a zero third central moment assumption. The estimator structure consists of a nonlinear, nonadaptive part, and a nonlinear, adaptive part which contains the parameter structure adaptations.
Download or read book Estimation of the Rate of a Doubly Stochastic Time Space Poisson Process written by and published by . This book was released on 1985 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider the problem of estimating the rate of a doubly-stochastic, time-space Poisson process when the observations are restricted to a region D reflex subset contained in R(exp 2). In the general case, they obtain a representation of the minimum mean-square-error (MMSE) estimate in terms of the conditional characteristic function of an underlying state process. In the case D = R(exp 2), they extend a known result to compute the MMSE estimate explicitly. For a special form of the rate process, a well-defined integral equation is presented which defines the linear MMSE estimate of the rate.
Download or read book A Doubly Stochastic Poisson Process Model for Wake sleep Cycling written by Badal S. Joshi and published by . This book was released on 2009 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In adult mammalian species, sleep is composed of several micro-sleep bouts which are exponentially distributed and micro-wake bouts which follow a power law. In infant rats both sleep and wake bouts follow an exponential law, only as the animal develops the wake bout times develop the heavy tail of a power law.
Download or read book Statistical Analysis of Stochastic Processes in Time written by J. K. Lindsey and published by Cambridge University Press. This book was released on 2004-08-02 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was first published in 2004. Many observed phenomena, from the changing health of a patient to values on the stock market, are characterised by quantities that vary over time: stochastic processes are designed to study them. This book introduces practical methods of applying stochastic processes to an audience knowledgeable only in basic statistics. It covers almost all aspects of the subject and presents the theory in an easily accessible form that is highlighted by application to many examples. These examples arise from dozens of areas, from sociology through medicine to engineering. Complementing these are exercise sets making the book suited for introductory courses in stochastic processes. Software (available from www.cambridge.org) is provided for the freely available R system for the reader to apply to all the models presented.
Download or read book Use of Doubly Stochastic Poisson Processes in Estimating Health Effects Due to Air Pollution Effects of Air Pollution on Incidence of Acute Respiratory Diseases in New York City Area written by and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Some questions associated with statistical inference of doubly stochastic Poisson processes are discussed. This general model appears to be of value in studying a number of problems in environmental health in which the factors which affect the rate at which certain diseases occur cannot be deterministically characterized. The model's applicability to a study of air pollution and incidence of acute respiratory diseases in the New York City area is examined.
