It takes the average reader 6 hours and 6 minutes to read Expansions and Asymptotics for Statistics by Christopher G. Small
Assuming a reading speed of 250 words per minute. Learn more
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. Cramér, 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.
Expansions and Asymptotics for Statistics by Christopher G. Small is 357 pages long, and a total of 91,749 words.
This makes it 120% the length of the average book. It also has 112% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 21 minutes to read Expansions and Asymptotics for Statistics aloud.
Expansions and Asymptotics for Statistics is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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