Statistical Theory and Inference is popular PDF and ePub book, written by David J. Olive in 2014-05-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Statistical Theory and Inference can be Read Online from any device for your convenience.
Statistical Theory and Inference Book PDF Summary
This text is for a one semester graduate course in statistical theory and covers minimal and complete sufficient statistics, maximum likelihood estimators, method of moments, bias and mean square error, uniform minimum variance estimators and the Cramer-Rao lower bound, an introduction to large sample theory, likelihood ratio tests and uniformly most powerful tests and the Neyman Pearson Lemma. A major goal of this text is to make these topics much more accessible to students by using the theory of exponential families. Exponential families, indicator functions and the support of the distribution are used throughout the text to simplify the theory. More than 50 ``brand name" distributions are used to illustrate the theory with many examples of exponential families, maximum likelihood estimators and uniformly minimum variance unbiased estimators. There are many homework problems with over 30 pages of solutions.
Detail Book of Statistical Theory and Inference PDF
- Author : David J. Olive
- Release : 07 May 2014
- Publisher : Springer
- ISBN : 9783319049724
- Genre : Mathematics
- Total Page : 438 pages
- Language : English
- PDF File Size : 16,5 Mb
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