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diff --git a/help/en_US/arch_fit.xml b/help/en_US/arch_fit.xml new file mode 100644 index 0000000..b984137 --- /dev/null +++ b/help/en_US/arch_fit.xml @@ -0,0 +1,62 @@ +<?xml version="1.0" encoding="UTF-8"?> + +<!-- + * + * This help file was generated from arch_fit.sci using help_from_sci(). + * + --> + +<refentry version="5.0-subset Scilab" xml:id="arch_fit" xml:lang="en" + xmlns="http://docbook.org/ns/docbook" + xmlns:xlink="http://www.w3.org/1999/xlink" + xmlns:svg="http://www.w3.org/2000/svg" + xmlns:ns3="http://www.w3.org/1999/xhtml" + xmlns:mml="http://www.w3.org/1998/Math/MathML" + xmlns:scilab="http://www.scilab.org" + xmlns:db="http://docbook.org/ns/docbook"> + + <refnamediv> + <refname>arch_fit</refname> + <refpurpose>This functions fits an ARCH regression model to the time series Y using the scoring algorithm in Engle's original ARCH paper.</refpurpose> + </refnamediv> + + +<refsynopsisdiv> + <title>Calling Sequence</title> + <synopsis> + [A, B] = arch_fit (Y, X, P, ITER, GAMMA, A0, B0) + </synopsis> +</refsynopsisdiv> + +<refsection> + <title>Parameters</title> + <variablelist> + </variablelist> +</refsection> + +<refsection> + <title>Description</title> + <para> +Fit an ARCH regression model to the time series Y using the scoring algorithm in Engle's original ARCH paper. + </para> + <para> +The model is + </para> + <para> +y(t) = b(1) * x(t,1) + ... + b(k) * x(t,k) + e(t), +h(t) = a(1) + a(2) * e(t-1)^2 + ... + a(p+1) * e(t-p)^2 + </para> + <para> +in which e(t) is N(0, h(t)), given a time-series vector Y up to time t-1 and a matrix of (ordinary) regressors X up to t. The order of the regression of the residual variance is specified by P. + </para> + <para> +If invoked as 'arch_fit (Y, K, P)' with a positive integer K, fit an ARCH(K, P) process, i.e., do the above with the t-th row of X given by + </para> + <para> +[1, y(t-1), ..., y(t-k)] + </para> + <para> +Optionally, one can specify the number of iterations ITER, the updating factor GAMMA, and initial values a0 and b0 for the scoring algorithm. +</para> +</refsection> +</refentry> |