Statistical Inference: Introduction and General Principles · Introduction

Introduction

What this guide covers

From the observable sample to the unobservable population: the art and science of reasoning under uncertainty with mathematical rigor.

Overview

Topics covered

Introduction
Introduction and General Principles
Introduction to Statistical Inference
The Inferential Paradigm
Historical Note
Population, Sample and Statistical Model

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

\underbrace{\theta \in \Theta}_{\text{Parameter desconocido}} \xrightarrow{\text{genera}} \underbrace{(X_1, \ldots, X_n) \sim F_\theta^{\otimes n}}_{\text{Sample aleatoria}} \xrightarrow{\text{inferencia}} \underbrace{\hat{\theta}(\mathbf{X}), \; C(\mathbf{X}), \; \phi(\mathbf{X})}_{\text{Estimator, IC, test}}

View LaTeX source

\underbrace{\theta \in \Theta}_{\text{Parameter desconocido}}
    \xrightarrow{\text{genera}}
    \underbrace{(X_1, \ldots, X_n) \sim F_\theta^{\otimes n}}_{\text{Sample aleatoria}}
    \xrightarrow{\text{inferencia}}
    \underbrace{\hat{\theta}(\mathbf{X}), \; C(\mathbf{X}), \; \phi(\mathbf{X})}_{\text{Estimator, IC, test}}