NAG Fortran Library

Chapter G13

Time Series Analysis

Chapter Introduction
G13AAF    Univariate time series, seasonal and non-seasonal differencing
G13ABF    Univariate time series, sample autocorrelation function
G13ACF    Univariate time series, partial autocorrelations from autocorrelations
G13ADF    Univariate time series, preliminary estimation, seasonal ARIMA model
G13AEF    Univariate time series, estimation, seasonal ARIMA model (comprehensive)
G13AFF    Univariate time series, estimation, seasonal ARIMA model (easy-to-use)
G13AGF    Univariate time series, update state set for forecasting
G13AHF    Univariate time series, forecasting from state set
G13AJF    Univariate time series, state set and forecasts, from fully specified seasonal ARIMA model
G13ASF    Univariate time series, diagnostic checking of residuals, following G13AEF or G13AFF
G13AUF    Computes quantities needed for range-mean or standard deviation-mean plot
G13BAF    Multivariate time series, filtering (pre-whitening) by an ARIMA model
G13BBF    Multivariate time series, filtering by a transfer function model
G13BCF    Multivariate time series, cross-correlations
G13BDF    Multivariate time series, preliminary estimation of transfer function model
G13BEF    Multivariate time series, estimation of multi-input model
G13BGF    Multivariate time series, update state set for forecasting from multi-input model
G13BHF    Multivariate time series, forecasting from state set of multi-input model
G13BJF    Multivariate time series, state set and forecasts from fully specified multi-input model
G13CAF    Univariate time series, smoothed sample spectrum using rectangular, Bartlett, Tukey or Parzen lag window
G13CBF    Univariate time series, smoothed sample spectrum using spectral smoothing by the trapezium frequency (Daniell) window
G13CCF    Multivariate time series, smoothed sample cross spectrum using rectangular, Bartlett, Tukey or Parzen lag window
G13CDF    Multivariate time series, smoothed sample cross spectrum using spectral smoothing by the trapezium frequency (Daniell) window
G13CEF    Multivariate time series, cross amplitude spectrum, squared coherency, bounds, univariate and bivariate (cross) spectra
G13CFF    Multivariate time series, gain, phase, bounds, univariate and bivariate (cross) spectra
G13CGF    Multivariate time series, noise spectrum, bounds, impulse response function and its standard error
G13DBF    Multivariate time series, multiple squared partial autocorrelations
G13DCF    Multivariate time series, estimation of VARMA model
G13DJF    Multivariate time series, forecasts and their standard errors
G13DKF    Multivariate time series, updates forecasts and their standard errors
G13DLF    Multivariate time series, differences and/or transforms (for use before G13DCF)
G13DMF    Multivariate time series, sample cross-correlation or cross-covariance matrices
G13DNF    Multivariate time series, sample partial lag correlation matrices, χ2 statistics and significance levels
G13DPF    Multivariate time series, partial autoregression matrices
G13DSF    Multivariate time series, diagnostic checking of residuals, following G13DCF
G13DXF    Calculates the zeros of a vector autoregressive (or moving average) operator
G13EAF    Combined measurement and time update, one iteration of Kalman filter, time-varying, square root covariance filter
G13EBF    Combined measurement and time update, one iteration of Kalman filter, time-invariant, square root covariance filter
G13FAF    Univariate time series, parameter estimation for either a symmetric GARCH process or a GARCH process with asymmetry of the form t-1 + γ)2
G13FBF    Univariate time series, forecast function for either a symmetric GARCH process or a GARCH process with asymmetry of the form t-1 + γ)2
G13FCF    Univariate time series, parameter estimation for a GARCH process with asymmetry of the form (|εt-1| + γ εt-1)2
G13FDF    Univariate time series, forecast function for a GARCH process with asymmetry of the form (|εt-1| + γ εt-1)2
G13FEF    Univariate time series, parameter estimation for an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process
G13FFF    Univariate time series, forecast function for an asymmetric Glosten, Jagannathan and Runkle (GJR) GARCH process
G13FGF    Univariate time series, forecast function for an exponential GARCH (EGARCH) process
G13FHF    Univariate time series, forecast function for an exponential GARCH (EGARCH) process

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© The Numerical Algorithms Group Ltd, Oxford UK. 2001