Book Image

Simulation for Data Science with R

By : Matthias Templ
Book Image

Simulation for Data Science with R

By: Matthias Templ

Overview of this book

Data Science with R aims to teach you how to begin performing data science tasks by taking advantage of Rs powerful ecosystem of packages. R being the most widely used programming language when used with data science can be a powerful combination to solve complexities involved with varied data sets in the real world. The book will provide a computational and methodological framework for statistical simulation to the users. Through this book, you will get in grips with the software environment R. After getting to know the background of popular methods in the area of computational statistics, you will see some applications in R to better understand the methods as well as gaining experience of working with real-world data and real-world problems. This book helps uncover the large-scale patterns in complex systems where interdependencies and variation are critical. An effective simulation is driven by data generating processes that accurately reflect real physical populations. You will learn how to plan and structure a simulation project to aid in the decision-making process as well as the presentation of results. By the end of this book, you reader will get in touch with the software environment R. After getting background on popular methods in the area, you will see applications in R to better understand the methods as well as to gain experience when working on real-world data and real-world problems.
Table of Contents (18 chapters)
Simulation for Data Science with R
Credits
About the Author
About the Reviewer
www.PacktPub.com
Preface
Index

Chapter 3. The Discrepancy between Pencil-Driven Theory and Data-Driven Computational Solutions

Questions on numerical precision and rounding errors with a wide range of applications are especially considered within the area of numerical mathematics. But statistics and data science are also tangled with problems on rounding and numerical precision, and data scientists should be aware of this. Of course, such problems also depend on the architecture of the computer. Even numbers that are measured with the highest degree of precision cannot be represented exactly on a computer. Some of the problems are of a general nature. It becomes critical if, for example, analytical properties of estimators differ in theory (on paper) and practice (with computers).

The goal of this chapter is to raise awareness of the mentioned topics. The reader should be sensitized to the concepts of machine numbers and rounding, as well as issues in convergence and the condition of problems. These concepts do not directly...