Read Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115)

Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115)

Christopher G. Small

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Description:Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics.The book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramer, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115). To get started finding Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1420011022

Description: Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics.The book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramer, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115). To get started finding Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115)

Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics and Applied Probability Book 115)

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