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

Time Series: Descriptive Analysis and Classical Decomposition

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Technical Treatise

Overview

Topics covered

  • Introduction
  • Fundamentals of Temporal Dynamics
  • Formal Definition and Representation Space
  • Classical Decomposition: Structural Components
  • Composition Schemes: Additive vs. Multiplicative
  • General Variance Stabilization: Box-Cox Transformations

Related concepts

Main connections

  • Time series & ARIMA
  • Variance & standard deviation
  • Mean & expected value
  • Linear algebra & matrices
  • Hypothesis testing
  • Residual analysis & diagnostics

Compatible notation

Mathematical sample in LaTeX

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

E[It]=0,Var(It)=σI2,Cov(It,It−k)=0∀k≠0
View LaTeX sourceE[I_t] = 0, \quad \operatorname{Var}(I_t) = \sigma^2_I, \quad \operatorname{Cov}(I_t, I_{t-k}) = 0 \quad \forall k \neq 0