Time series


ARIMA
  • ARMA
  • ARMAX
  • standard and robust variance estimates
  • linear constraints
  • multiplicative seasonal ARIMA

ARCH

  • GARCH
  • APARCH
  • EGARCH
  • NARCH
  • AARCH
  • GJR and more
  • ARCH in mean
  • standard and robust variance estimates
  • multiplicative deterministic heteroskedasticity
  • linear constraints

Time-series functions

  • string conversion to date: daily, weekly, monthly, quarterly, half-yearly, yearly
  • dates from numeric arguments
  • date literal support
  • periodicity conversion, e.g., daily date to quarter
  • date ranges

Time-series operators

  • L, lag
  • D, differences
  • S#, seasonal lag

Time-series date formats

  • default formats for daily, weekly, monthly, quarterly, half-yearly, yearly
  • user-specified formats

Rolling and recursive estimation

Regression diagnostics

  • LM test for ARCH effects
  • Breusch–Godfrey LM test for serial correlation
  • Durbin alternative test for serial correlation
  • Durbin–Watson statistic

Regression with AR(1) disturbances

  • White's method for heteroskedasticity robust variances
  • two-step or iterated methods
  • Cochrane–Orcutt, Prais–Winsten, and ARMA/ARIMA estimators

 

 
VAR/SVAR/VECM
  • vector autoregression (VAR)
  • structural vector autoregression (SVAR)
  • vector error-correction models (VECM)
  • impulse–response functions (IRFs)
  • forecast-error variance decompositions (FEVD)
  • static and dynamic forecasts
  • diagnostics and tests
    • cointegration tests
    • Granger causality tests
    • LM tests for residual autocorrelation
    • tests for normality of residuals
    • lag order selection statistics
    • stability analysis using eigenvalues
    • Wald lag exclusion statistics
  • graphical and tabular presentations and comparisons of IRFs and FEVDs
  • IRF management tools

Time-series smoothers

  • moving average (MA)
  • single exponential
  • double exponential
  • Holt–Winters nonseasonal exponential
  • Holt–Winters seasonal exponential
  • nonlinear
  • forecasting and smoothing

Graphs and tables

  • autocorrelations and partial correlations
  • cross-correlations
  • cumulative sample spectral density
  • periodograms
  • line plots
  • range plot with lines

Tests for white noise

  • Portmanteau's test
  • Bartlett's periodogram test

Tests for unit roots

  • Dickey–Fuller
    • modified Dickey–Fuller t test proposed by Elliott, Rothenberg, and Stock
    • augmented Dickey–Fuller test
  • Phillips–Perron

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