Dew Stats Master .NET
DurbinLevinson Routine
Summary
The Durbin-Levinson algorithm.

Unit
StatTimeSerAnalysis

Declaration
Procedure DurbinLevinson(gamma: TVec; Phi: TVec; out Sigma2: TSample; NumEvals: Integer; PhiVar: TVec = nil);
 Parameter  Description 
gamma Defines covariances for Durbin-Levinson algorithm. 
Phi Returns phi[n,1]...phi[n,n] coefficients. 
NumEvals Defines number of iterations of the Durbin-Levinson algorithm. 
Sigma2 Returns estimated variance. 
PhiVar If not nil, it returns phi coefficients variances. 

Description
Uses the Durbin-Levinson algorithm to calculate phi[n,1]...phi[n,n] coefficients. Coefficients are calculated resursively from the following relations:


where phi(1,1) = gamma(1)/gamma(0) and v(0)=gamma(0).
Categories
ARMA and ARIMA routines
 See Also 
Innovations 

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