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SOFTWARE/STATA

 

Time series

ARIMA

  • ARMA
  • ARMAX
  • standard and robust variance estimates
  • Static and dynamic forecasts
  • linear constraints
  • multiplicative seasonal ARIMA
  • Spectral densities

ARCH/GARCH

  • GARCH
  • APARCH
  • EGARCH
  • NARCH
  • AARCH
  • GJR and more
  • ARCH in mean
  • standard and robust variance estimates
  • Normal, Student's t, or generalized error distribution
  • Multiplicative deterministic heteroskedasticity
  • Static and dynamic forecasts
  • linear constraints
Multivariate GARCH
  • Diagonal VECH models
  • Conditional correlation models
    • Constant conditional correlation
    • Dynamic conditional correlation
    • Varying conditional correlation
  • Multivariate normal or multivariate Student's t errors
  • Standard and robust variance estimates
  • Static and dynamic forecasts
  • Linear constraints  
ARFIMA*
  • Long-memory processes
  • Fractional integration
  • Standard and robust variance estimates
  • Static and dynamic forecasts
  • Linear constraints
  • Spectral densities
Unobserved components model (UCM)*
  • Trend-cycle decomposition
  • Stochastic cycles
  • Estimation by state-space methods
  • Standard and robust variance estimates
  • Static and dynamic forecasts
  • Linear constraints
  • Spectral densities

VAR/SVAR/VECM

  • vector autoregression (VAR)
  • structural vector autoregression (SVAR)
  • vector error-correction models (VECM)
  • impulse-response functions (IRFs)
    • Simple IRFs
    • Orthogonalized IRFs
    • Structural IRFs
    • Cumulative IRFs
  • Dynamic multipliers
  • forecast-error variance decompositions (FEVD)
  • static and dynamic forecasts
  • diagnostic and tests
    • cointegration tests
    • Granger causality tests
    • LM tests for residual autocorrelation
    • tests for normailty of residuals
    • lag order seleciton statistics
    • stability analysis using eigenvalues
    • Wald lag exclusion statistics
  • geographical and tabular presentations and comparisons of IRFs and FEVDs
  • IRF management tools

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 quarterly
  • Date and time ranges

Time-series operators

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

Time-series date formats

  • Default formats for clock-time daily, weekly, monthly, quarterly, half-yearly, yearly
  • High-frequency data with millisecond resolution
  • user-specified formats
Business calendars*
  • Define your own calendars
  • Format variables using business calendar format
  • Convert between business dates and regular dates
  • Lags and leads calculated according to calendar

Rolling and recursive estimation

Regression diagnostics

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

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 plots 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

Time-series smoothers

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

Tests for white noise

  • Portmanteau’s test
  • Bartlett’s periodogram test

Support for Haver Analytics database

State-space models

  • VARMA models
  • Structural time-series models
  • Stochastic general-equilibrium models
  • Stationary and nonstationary models
  • Standard and robust variance estimates
  • Static and dynamic forecasts
  • Linear constraints
Dynamic-factor models
  • Unobserved factors with vector autoregressive structure
  • Exogenous covariates
  • Autocorrelated disturbances in dependent variables’ equations
  • Standard and robust variance estimates
  • Static and dynamic forecasts
  • Linear constraints
Time-series filters*
  • Baxter–King band-pass filter
  • Butterworth high-pass filter
  • Christiano–Fitzgerald band-pass filter
  • Hodrick–Prescott high-pass filter
Factor variables
  • Automatically create indicators based on categorical variables
  • Form interactions among discrete and continuous variables
  • Include polynomial terms
  • Perform contrasts of categories/levels
Marginal analysis
  • Estimated marginal means
  • Marginal and partial effects
  • Average marginal and partial effects
  • Least-squares means
  • Predictive margins
  • Adjusted predictions, means, and effects
  • Contrasts of margins*
  • Pairwise comparisons of margins*
  • Profile plots*
  • Graphs of margins and marginal effects*
Contrasts*
  • Analysis of main effects, simple effects, interaction effects, partial interaction effects, and nested effects
  • Comparisons against reference groups, of adjacent levels, or against the grand mean
  • Orthogonal polynomials
  • Helmert contrasts
  • Custom contrasts
  • ANOVA-style tests
  • Contrasts of nonlinear responses
  • Multiple-comparison adjustments
  • Balanced and unbalanced data
  • Contrasts in odds-ratio metric
  • Contrasts of means, intercepts, and slopes
  • Graphs of contrasts
  • Interaction plots
Pairwise comparisons*
  • Compare estimated means, intercepts, and slopes
  • Compare marginal means, intercepts, and slopes
  • Balanced and unbalanced data
  • Nonlinear responses
  • Multiple-comparison adjustments: Bonferroni, Šidák, Scheffé, Tukey HSD, Duncan, and Student-Newman-Keuls adjustments
  • Group comparisons that are significant
  • Graphs of pairwise comparisons
More on time series in Stata.

* New in Stata 12

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