## Understanding p-values

Hypothesis testing and p-values are often misused and misunderstood. In this article, I explain what a p-value is, and how to use it.

## Introduction to hypothesis testing

We introduce the basic vocabulary required to understand hypothesis testing and define the p-value.

## The maximum likelihood estimator (MLE)

The maximum likelihood estimator is one of the most used estimators in statistics. In this article, we introduce this estimator and study its properties.

## MLE: an information theory viewpoint

We show that the MLE is obtained by minimizing the KL-divergence from an empirical distribution and interpret what it means.

## Introduction to statistical estimators

In this article we define what an estimator is. We focus on the theory to compare and assess estimators, rather than how to find one.

## Primer on stochastic convergence

Types of convergence

## What is a statistic and why do we care?

In this article, we explain that a statistic is a way of compressing information contained in the data, and we show how it can be used for inference....

## The geometry of (normal) parameter estimation

This article shows geometrically where the best estimates for the mean and variance of a normally distributed random vector can be found. We start with a simple question...

## Why bayesian inference is more powerful than logic

In a previous article I showed that the inference rules of propositional logic can be obtained from probability calculus. But actually, we can obtain much more, and even...

## Extending logic to deal with uncertainty

This article sketches a construction of probability calculus as an extension of classical logic to account for uncertainty so that by construction, it can be used to automate...

## An information theory perspective on probability

In 1948, Claude Shannon invented information theory based on probability theory. The basic definition is entropy. Given of a set of messages mi, each one occurring with probability...

## A Bayesian Perspective

Probability is not a property of an event or state; there is no such thing as the probability that the coin lands showing head. Probability expresses a strength...

## A non-technical introduction to statistics

This article explains in simple terms the purpose of statistical theory and gives an overview of how it is used.

## Difference between statistics, machine learning and probability

Statistics, probability theory and machine learning are often confused. This article tackles the difference between statistics and probability and their difference with machine learning. We will see that...