Statistical Programming with SAS/IML Software

Chapter 13

Sampling and Simulation

Contents

13.1   Overview of Sampling and Simulation

13.2   Simulate Tossing a Coin

13.3   Simulate a Coin-Tossing Game

13.3.1   Distribution of Outcomes

13.3.2   Compute Statistics for the Simulation

13.3.3   Efficiency of the Simulation

13.4   Simulate Rolling Dice

13.5   Simulate a Game of Craps

13.5.1   A FirstApproach

13.5.2   A More Efficient Approach

13.6   Random Sampling with Unequal Probability

13.7   A Module for Sampling with Replacement

13.8   The Birthday Matching Problem

13.8.1   A Probability-Based Solution for a Simplified Problem

13.8.2   Simulate the Birthday Matching Problem

13.9   Case Study: The Birthday Matching Problem for Real Data

13.9.1   An Analysis of US Births in 2002

13.9.2