# Basics of Modern Mathematical Statistics

## Exercises and Solutions

• Wolfgang Karl Härdle
• Weining Wang
Textbook

Part of the Springer Texts in Statistics book series (STS)

1. Front Matter
Pages i-xxv
Pages 1-8
Pages 9-51
Pages 53-72
Pages 73-106
Pages 107-128
Pages 129-158
Pages 159-166
Pages 167-182
10. Back Matter
Pages 183-185

### Introduction

​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.

### Keywords

Bayes estimation Modern statistics Parameter estimation Regression Statistical tests

#### Authors and affiliations

• Wolfgang Karl Härdle
• 1
• 2
• 3
• Weining Wang
• 4
1. 1.C.A.S.E. Centre f. Appl. Stat. & Econ. School of Business and EconomicsHumboldt-Universität zu Berlin L.v.Bortkiewicz Chair of StatisticsBerlinGermany
2. 2.Weierstrass Institute for Applied Analysis and Stochastics (WIAS)BerlinGermany
3. 3.Universität Duisburg-EssenEssenGermany
4. 4.Chair of Statistics C.A.S.E. Center for Applied Statistics & EconomicsHumboldt University at Berlin Ladislaus von BortkiewiczBerlinGermany

### Bibliographic information

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