Probability and statistics

Introduction

Probability and statistics play a important role in industrial processes, take decisions and as a language to another fields as game theory or econometrics.

Slides

Content

Material

Description

Introduction to probability, counting and bayes theorem.

Introduction to couting, probability, independence, bayes theorem.

Distributions and sampling.

Introduction to normal and binomial distribution, central limit theorem.

Confidence intervals

Confidence interval for mean and proportions

P-value

Introduction to the idea of statistical significance

ANOVA

Introduction to analysis of variance

Survival Analysis

Introduction to Surival

Simulations

Pi simulation

In this section you will find some simulations that could be very useful.

You could think the following

\(\pi\) is a wonderful number:

\begin{equation} \pi = D/P \end{equation}

Linconl - Petersen

Imagine that do you wan to know how many foxy there are, or the numner of hypopotamus that are in colombia you can uses the method of capture and recapture.

\[ \hat{N} = \frac{k1 * k2}{recounter} \]

Birthday paradox

This a great phenomena.

Monty Hall simulation

There is a great history behind this simulation:

This history involves some persons as Savant and Paul erdos.