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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
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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.
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