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Sequences of Real Numbers and Functions
| Content Provider | Scilit |
|---|---|
| Author | Polansky, Alan M. |
| Copyright Year | 2011 |
| Description | The purpose of this chapter is to introduce much of the mathematical limit theory used throughout the reminder of the book. For many readers, many of the topics will consist of review material, while other topics may be quite new. The study of asymptotic properties in statistics relies heavily on results and concepts from real analysis and calculus. As such, we begin with a review of limits of sequences of real numbers and sequences of real functions. This is followed by the development of what will be a most useful tool, Taylor's Theorem. We then introduce the concept of asymptotic expansions, a topic that may be new to some readers and is vitally important to many of the results treated later in the book. Of particular importance is the introduction of the asymptotic order notation, which is popular in modern research in probability and statistics. The related topic of inversion of asymptotic expansions is then briefly introduced. Book Name: Introduction to Statistical Limit Theory |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-17758-0&isbn=9780429149269&doi=10.1201/9781420076615-5&format=pdf |
| Ending Page | 72 |
| Page Count | 52 |
| Starting Page | 21 |
| DOI | 10.1201/9781420076615-5 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2011-01-07 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Introduction To Statistical Limit Theory History and Philosophy of Science Functions Notation Taylor Reminder Mathematical Theorem Heavily |
| Content Type | Text |
| Resource Type | Chapter |
