#### 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.
Simulation for Data Science with R
Credits
www.PacktPub.com
Preface
Free Chapter
Introduction
R and High-Performance Computing
The Discrepancy between Pencil-Driven Theory and Data-Driven Computational Solutions
Simulation of Random Numbers
Monte Carlo Methods for Optimization Problems
Probability Theory Shown by Simulation
Resampling Methods
Applications of Resampling Methods and Monte Carlo Tests
The EM Algorithm
Simulation with Complex Data
System Dynamics and Agent-Based Models
Index

## Summary

In this chapter, the data scientist approach to probability was shown. Probability concepts was not presented as a mathematical exercise, but some of the most important theorems when working with samples have been shown by simulation: the law of large numbers and the central limit theorem.

The concept of convergence of a mean was shown by tossing a coin. To toss a coin is something very basic in statistics. Think on selecting a person from a sampling frame or not. The Binomial but also the Poisson distribution can be motivated from this. The binomial distribution was shown in this chapter.

Both concepts—the law of large numbers as well as the central limit theorem, lead to confidence intervals, that are—in classical statistics—just a definition. This concept works as soon as the central limit theorem holds.

Also in content of this chapter were the properties of estimators. Bias, unbiasedness, asymptotic unbiasedness, and so on, have been introduced. These wordings will be consequently...