Chapter 7. Simulation from Probability Distributions

This chapter covers the following topics:

  • Generating random samples
  • Understanding uniform distribution
  • Generating binomial random variates
  • Generating Poisson random variates
  • Sampling from normal distribution
  • Sampling from chi-squared distribution
  • Understanding Student's t-distribution
  • Sampling from a dataset
  • Simulating the stochastic process

Introduction

To handle the uncertainty of real-world events, we can use probability to measure the likelihood of whether an event will occur. By definition, probability is quantified with a number between 0 and 1; the higher the probability (closer to 1), the more certain we are that an event will occur.

As statistical inference is used to deduce the properties of a ...

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