Probability With A View Towards Statistics Volume Ii PDF Download
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Author | : J. Hoffman-Jorgensen |
Publisher | : Routledge |
Total Pages | : 296 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351421549 |
Download Probability With a View Towards Statistics, Volume II Book in PDF, ePub and Kindle
Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.
Author | : J. Hoffman-Jorgensen |
Publisher | : Routledge |
Total Pages | : 630 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351421581 |
Download Probability With a View Towards Statistics, Volume I Book in PDF, ePub and Kindle
Volume I of this two-volume text and reference work begins by providing a foundation in measure and integration theory. It then offers a systematic introduction to probability theory, and in particular, those parts that are used in statistics. This volume discusses the law of large numbers for independent and non-independent random variables, transforms, special distributions, convergence in law, the central limit theorem for normal and infinitely divisible laws, conditional expectations and martingales. Unusual topics include the uniqueness and convergence theorem for general transforms with characteristic functions, Laplace transforms, moment transforms and generating functions as special examples. The text contains substantive applications, e.g., epidemic models, the ballot problem, stock market models and water reservoir models, and discussion of the historical background. The exercise sets contain a variety of problems ranging from simple exercises to extensions of the theory.
Author | : J. Hoffman-Jorgensen |
Publisher | : Routledge |
Total Pages | : 552 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351421557 |
Download Probability With a View Towards Statistics, Volume II Book in PDF, ePub and Kindle
Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.
Author | : J. Hoffman-Jorgensen |
Publisher | : CRC Press |
Total Pages | : 636 |
Release | : 1994-07-01 |
Genre | : Mathematics |
ISBN | : 9780412052217 |
Download Probability With a View Towards Statistics Book in PDF, ePub and Kindle
Volume I of this two-volume text and reference work begins by providing a foundation in measure and integration theory. It then offers a systematic introduction to probability theory, and in particular, those parts that are used in statistics. This volume discusses the law of large numbers for independent and non-independent random variables, transforms, special distributions, convergence in law, the central limit theorem for normal and infinitely divisible laws, conditional expectations and martingales. Unusual topics include the uniqueness and convergence theorem for general transforms with characteristic functions, Laplace transforms, moment transforms and generating functions as special examples. The text contains substantive applications, e.g., epidemic models, the ballot problem, stock market models and water reservoir models, and discussion of the historical background. The exercise sets contain a variety of problems ranging from simple exercises to extensions of the theory.
Author | : J. Hoffman-Jorgensen |
Publisher | : CRC Press |
Total Pages | : 554 |
Release | : 1994-05-15 |
Genre | : Mathematics |
ISBN | : 9780412052316 |
Download Probability With a View Towards Statistics Book in PDF, ePub and Kindle
Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.
Author | : D.J. Daley |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2006-04-10 |
Genre | : Mathematics |
ISBN | : 0387215646 |
Download An Introduction to the Theory of Point Processes Book in PDF, ePub and Kindle
Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.
Author | : Roman Vershynin |
Publisher | : Cambridge University Press |
Total Pages | : 299 |
Release | : 2018-09-27 |
Genre | : Business & Economics |
ISBN | : 1108415199 |
Download High-Dimensional Probability Book in PDF, ePub and Kindle
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author | : F.M. Dekking |
Publisher | : Springer Science & Business Media |
Total Pages | : 488 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 1846281687 |
Download A Modern Introduction to Probability and Statistics Book in PDF, ePub and Kindle
Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books
Author | : Jørgen Hoffmann-Jørgensen |
Publisher | : |
Total Pages | : |
Release | : 1994 |
Genre | : |
ISBN | : |
Download Probability with a View Toward Statistics Book in PDF, ePub and Kindle
Author | : B. Grigelionis |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 624 |
Release | : 2020-05-18 |
Genre | : Mathematics |
ISBN | : 3112319028 |
Download Probability Theory and Mathematical Statistics. Vol. 2 Book in PDF, ePub and Kindle
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