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scikits.statsmodels / statsmodels / examples / tsa / compare_arma.py
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print "Battle of the dueling ARMAs"

from time import time
from scikits.statsmodels.tsa.arma_mle import Arma
from scikits.statsmodels.tsa.api import ARMA
import numpy as np

y_arma22 = np.loadtxt(r'C:\Josef\eclipsegworkspace\statsmodels-josef-experimental-gsoc\scikits\statsmodels\tsa\y_arma22.txt')

arma1 = Arma(y_arma22)
arma2 = ARMA(y_arma22)

print "The actual results from gretl exact mle are"
params_mle = np.array([.826990, -.333986, .0362419, -.792825])
sigma_mle = 1.094011
llf_mle = -1510.233
print "params: ", params_mle
print "sigma: ", sigma_mle
print "llf: ", llf_mle
print "The actual results from gretl css are"
params_css = np.array([.824810, -.337077, .0407222, -.789792])
sigma_css = 1.095688
llf_css = -1507.301

results = []
results += ["gretl exact mle", params_mle, sigma_mle, llf_mle]
results += ["gretl css", params_css, sigma_css, llf_css]

t0 = time()
print "Exact MLE - Kalman filter version using l_bfgs_b"
arma2.fit(order=(2,2), trend='nc')
t1 = time()
print "params: ", arma2.params
print "sigma: ", arma2.sigma2**.5
arma2.llf = arma2.loglike(arma2._invtransparams(arma2.params))
results += ["exact mle kalmanf", arma2.params, arma2.sigma2**.5, arma2.llf]
print 'time used:', t1-t0

t1=time()
print "CSS MLE - ARMA Class"
arma2.fit(order=(2,2), trend='nc', method="css")
t2=time()
arma2.llf = arma2.loglike_css(arma2._invtransparams(arma2.params))
print "params: ", arma2.params
print "sigma: ", arma2.sigma2**.5
results += ["css kalmanf", arma2.params, arma2.sigma2**.5, arma2.llf]
print 'time used:', t2-t1

print "Arma.fit_mle results"
# have to set nar and nma manually
arma1.nar = 2
arma1.nma = 2
t2=time()
ret = arma1.fit_mle()
t3=time()
print "params, first 4, sigma, last 1 ", ret.params
results += ["Arma.fit_mle ", ret.params[:4], ret.params[-1], ret.llf]
print 'time used:', t3-t2

print "Arma.fit method = \"ls\""
t3=time()
ret2 = arma1.fit(order=(2,0,2), method="ls")
t4=time()
print ret2[0]
results += ["Arma.fit ls", ret2[0]]
print 'time used:', t4-t3

print "Arma.fit method = \"CLS\""
t4=time()
ret3 = arma1.fit(order=(2,0,2), method="None")
t5=time()
print ret3
results += ["Arma.fit other", ret3[0]]
print 'time used:', t5-t4

for i in results: print i