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Titlebook: Probability and Statistical Inference; Volume 1: Probabilit J. G. Kalbfleisch Textbook 1985Latest edition Springer Science+Business Media N

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书目名称Probability and Statistical Inference
副标题Volume 1: Probabilit
编辑J. G. Kalbfleisch
视频video
丛书名称Springer Texts in Statistics
图书封面Titlebook: Probability and Statistical Inference; Volume 1: Probabilit J. G. Kalbfleisch Textbook 1985Latest edition Springer Science+Business Media N
描述This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It emphasizes applications and logical principles rather than math­ ematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with mathematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the like­ lihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses
出版日期Textbook 1985Latest edition
关键词Hypothese; Variance; calculus of probability; probability; probability theory; statistical inference
版次2
doihttps://doi.org/10.1007/978-1-4612-1096-2
isbn_softcover978-1-4612-7009-6
isbn_ebook978-1-4612-1096-2Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer Science+Business Media New York 1985
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https://doi.org/10.1007/978-1-4612-1096-2Hypothese; Variance; calculus of probability; probability; probability theory; statistical inference
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Generating Functions,Suppose that the function . has a Taylor’s series expansion about . = 0,.and that this series converges in some open interval containing the origin. Then . is called the . of the sequence .., .., .., …. Generating functions have important applications in many branches of mathematics.
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Mean and Variance,e . is a real number given by . If probabilities are interpreted as long-run relative frequencies, then E{h(X)} represents the average value of . in infinitely many repetitions of the experiment (Section 1).
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