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Wolfgang Karl Härdle, Vladimir Panov, Vladimir Spokoiny (Beteiligte)

Basics of Modern Mathematical Statistics


Exercises and Solutions
2013. xxv, 185 S. 42 SW-Abb., 81 Farbabb. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2013
ISBN: 3-642-36849-2 (3642368492)
Neue ISBN: 978-3-642-36849-3 (9783642368493)

Preis und Lieferzeit: Bitte klicken


This book presents numerous exercises with solutions to help the reader better understand different aspects of modern statistics. It features applications with R and Matlab code that show how to practically use the methods.
_The complexity of today´s statistical data calls for modern mathematical tools. Many fields of science make use of mathematical statistics and require continuous updating on statistical technologies. Practice makes perfect, since mastering the tools makes them applicable. Our book of exercises and solutions offers a wide range of applications and numerical solutions based on R.
In modern mathematical statistics, the purpose is to provide statistics students with a number of basic exercises and also an understanding of how the theory can be applied to real-world problems.
The application aspect is also quite important, as most previous exercise books are mostly on theoretical derivations. Also we add some problems from topics often encountered in recent research papers.
The book was written for statistics students with one or two years of coursework in mathematical statistics and probability, professors who hold courses in mathematical statistics, and researchers in other fields who would like to do some exercises on math statistics.
_Basics.- Parameter Estimation for an i.i.d. Model.- Parameter Estimation for a Regression Model.- Estimation in Linear Models.- Bayes Estimation.- Testing a Statistical Hypothesis.- Testing in Linear Models.- Some Other Testing Methods.
From the reviews:
"The book ´Basics of model mathematical statistics´ is built as a series of focused exercises revolving around parameter estimation, linear models, Bayesian estimation and statistical hypothesis testing. ... This book is a valuable resource for undergraduates and post-graduates alike. The detailed proofs and the R code and output make it a must have for the understanding of modern mathematical statistics." (Irina Ioana Mohorianu, zbMATH, Vol. 1286 (1), 2014)