Time Series, Health & Evidence Synthesis · Time Series & Forecasting

Time series: stationary linear processes · advanced analysis

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Treatise on Stochastic Processes

Overview

Topics covered

  • Introduction
  • Time Series: Stationary Linear Processes
  • Introduction to time series as stochastic processes
  • Strong and weak stationarity: analysis and properties of the ACVF
  • 2.1 Stationarity in the Strict Sense (Strong)
  • 2.2 Broad Sense Stationarity (Weak or Second Order)

Related concepts

Main connections

  • Time series & ARIMA
  • Variance & standard deviation
  • Residual analysis & diagnostics
  • Maximum likelihood estimation
  • Mean & expected value
  • Calculus & differentiation

Compatible notation

Mathematical sample in LaTeX

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

{Xt(ω):t∈T,ω∈Ω}
View LaTeX source\{X_t(\omega) : t \in T, \omega \in \Omega\}