This book offers a comprehensive guide to large sample techniques
in statistics. With a focus on developing analytical skills and
understanding motivation, Large Sample Techniques for Statistics
begins with fundamental techniques, and connects theory and
applications in engaging ways. The first five chapters review some
of the basic techniques, such as the fundamental epsilon-delta
arguments, Taylor expansion, different types of convergence, and
inequalities. The next five chapters discuss limit theorems in
specific situations of observational data. Each of the first ten
chapters contains at least one section of case study. The last six
chapters are devoted to special areas of applications. This new
edition introduces a final chapter dedicated to random matrix
theory, as well as expanded treatment of inequalities and mixed
effects models. The book's case studies and applications-oriented
chapters demonstrate how to use methods developed from large sample
theory in real world situations. The book is supplemented by a
large number of exercises, giving readers opportunity to practice
what they have learned. Appendices provide context for matrix
algebra and mathematical statistics. The Second Edition seeks to
address new challenges in data science. This text is intended for a
wide audience, ranging from senior undergraduate students to
researchers with doctorates. A first course in mathematical
statistics and a course in calculus are prerequisites..
General
| Imprint: |
Springer Nature Switzerland AG
|
| Country of origin: |
Switzerland |
| Series: |
Springer Texts in Statistics |
| Release date: |
April 2022 |
| First published: |
2022 |
| Authors: |
Jiming Jiang
|
| Dimensions: |
235 x 155 x 48mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
685 |
| Edition: |
2nd ed. 2022 |
| ISBN-13: |
978-3-03-091694-7 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
Promotions
|
| LSN: |
3-03-091694-4 |
| Barcode: |
9783030916947 |
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