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Titlebook: An Intermediate Course in Probability; Allan Gut Textbook 19951st edition Springer Science+Business Media New York 1995 Normal distributio

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发表于 2025-3-21 18:03:51 | 显示全部楼层 |阅读模式
期刊全称An Intermediate Course in Probability
影响因子2023Allan Gut
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图书封面Titlebook: An Intermediate Course in Probability;  Allan Gut Textbook 19951st edition Springer Science+Business Media New York 1995 Normal distributio
影响因子The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability the­ ory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experi­ ence has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, condi­ tioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process be­ cause of its fundamental role in the theory of stochastic processes, but
Pindex Textbook 19951st edition
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发表于 2025-3-21 23:23:26 | 显示全部楼层
The Multivariate Normal Distribution,s of a normal random vector are uncorrelated, then they are in fact independent. One section is devoted to quadratic forms of normal random vectors, which are of great importance in many branches of statistics. The main result states that one can split the sum of the squares of the observations into
发表于 2025-3-22 04:09:59 | 显示全部楼层
Textbook 19951st editiont might be called pure probability theory: multivariate random variables, condi­ tioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process be­ cause of its fundamental role in the theory of stochastic processes, but
发表于 2025-3-22 07:24:57 | 显示全部楼层
发表于 2025-3-22 11:55:57 | 显示全部楼层
Introduction,reating principles, methods, and criteria to treat data pertaining to such (random) phenomena or to data from experiments and other observations of the real world, by using, for example, the theories and knowledge available from the theory of probability.
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The Multivariate Normal Distribution,rmal distribution is (one of) the most important distribution(s) and since there are special properties, methods, and devices pertaining to this distribution, we devote this chapter to the study of the . or, equivalently, to the study of .. We show, for example, that the sample mean and the sample v
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发表于 2025-3-23 05:59:34 | 显示全部楼层
the­ ory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and thei
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