Hierons, "Extending test sequence overlap by invertibility
," The Computer Journal, vol.
Note that in the above proof, the invertibility
assumption on I - [mu](A - B[N.sub.[dagger]]K) is only needed to prove the implication (I) [??] (II).
Due to the linearity and invertibility
([DELTA][J[([[PHI].sub.3]).sup.aux]] = 1) of the matrix (21), system (17) has the solution given in (22).
In this subsection we will see how the study of the factorability of scalar and matrix functions is related to the invertibility
of certain classes of singular integral operators and, consequently, to the study of its spectra.
Tong, "A note on the invertibility
of nonlinear ARMA models", Journal of Statistical Planning and Inference, vol.
As a consequence of the proposition 2.12, we deduce the invertibility
of the operator M o [[partial derivative].sup.-S.sub.z].
Pshenitsyna  considered invertibility
Coefficients of the ARMA models are also checked for both stationarity and invertibility
. (3) Furthermore, the residuals of the series are examined to make sure that they are white noise (Harvey, 1981; Enders; Greene, 2003).
of the Gabor frame operator on the Wiener amalgam space, J.
Diagnostic checks on the AI[C.sub.c]-selected model involved the following steps: 1) verification of the resemblance of residuals to white noise (ACF plots, Ljung-Box test, cumulative periodogram test); 2) tests on the normality of residuals (Jarque-Bera and Shapiro-Wilks tests); and 3) confirmation of model stationarity, invertibility
, and parameter redundancy (Shapiro et al., 1968; Ljung and Box, 1978; Jarque and Bera, 1987; Box et al., 2008).
Table 2 Westerlund and Edgerton (2007) panel bootstrap cointegration test Regressions Bootstrap P-value Constant Constant and Trend Developing 0.975 0.964 Developed 0.240 0.180 Miracles (1990 2005) 0.624 0.812 Miracles (1995-2005) 0.738 0.922 As sieve estimation, cither Yule-Walker or OLS is used to ensure invertibility
. The null hypothesis is cointegration between the variables In Table 3, FM-OLS estimations are summarized.
The problem that arises is related to the invertibility
problems discussed by Fernandez-Villaverde et al.