### TABLE VII. Long-range Interaction Parameters

1997

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### Table 2 Summary or the long-range dependence analysis (n.a.=statistical results non reliable due to insufficient sample size)

### Table 3. Long-range correlation analysis of LECU Ss

2004

"... In PAGE 9: ...rem 7.6 (iii)]). As an example we consider LECU:=LCG(261?1, 1351750484049952003, 0, 1) from the recent tables of LCGs with good lattice structure derived by L apos;Ecuyer [1999]. Table3 shows normalized spectral tests values Ss and certain (non-normalized) results 1=d2 s of consecutive blocks obtained from LECU. The upper table contains those test results Ss for large block lengths l = b(m ? 1)=kc, 2 k 200 and dimensions 2 s 8, where Ss 0:1 for at least on dimension s.... In PAGE 9: ... The upper table contains those test results Ss for large block lengths l = b(m ? 1)=kc, 2 k 200 and dimensions 2 s 8, where Ss 0:1 for at least on dimension s. Table3 exhibits the strong \long-range quot; correlations between consecutive streams with large block size. Note that such correlations appear also for small block lengths, for examples see [Entacher 1998a].... In PAGE 10: ...latter authors applied their concepts only in dimension two for computational and mathematical reasons. The results in Table3 require to perform any long-range correlation analysis or calculations of critical distances also in higher dimensions s. A theoretical veri - cation of the results in the lower table in Table 3 can be done in the same way as performed for Table 1 and these results are valid for arbitrary primitive roots a modulo m.... In PAGE 10: ... The results in Table 3 require to perform any long-range correlation analysis or calculations of critical distances also in higher dimensions s. A theoretical veri - cation of the results in the lower table in Table3 can be done in the same way as performed for Table 1 and these results are valid for arbitrary primitive roots a modulo m. Note that the bad results occur for small divisors k of the period of LECU.... ..."

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### TABLE 3 CONFORMATIONAL CONSTRAINTS USED IN THE FINAL STRUCTURE CALCULATION BASED EITHER ON INTERACTIVE NOESY ASSIGNMENTS OR ON NOAH/DIANA Protein Interactive assignment NOAH/DIANA

in Automated combined assignment of NOESY spectra and three-dimensional protein structure determination

### Table 3: Summary Statistics and One-Way Analysis of Variance Table for Size Effect on the Long-Range Dependent Parameter: Estimates obtained using Spectral Regression Method

2000

"... In PAGE 6: ... In fact, the results of our simulation study imply that the amount of persistence in volatility may be even higher than that reflected by the GPH estimates, depending on the SNR of the particular series. Some additional summary statistics for dGPH are given in Table3 (a). It is interesting to note that the mean and median of dGPH are close to the values 0.... In PAGE 7: ...3 Size effects on d To look for size effects on the strength of long memory in individual stock volatilities, we conduct a one-way analysis of variance (ANOVA) on the estimates of d by decile. The results are shown in Table3 (b) for the GPH estimates and Table 4(b) for the QMLE esti- mates. In our application, the sample sizes are relatively large, so that the variances of d obtained using a particular method are approximately equal.... ..."

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### Table 1: Results of Canonical Correlation Analysis for Common Long-range Dependent Component plus White Noise

1997

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### Table 2: Results of Canonical Correlation Analysis for Common Long-range Dependent Component plus MA Noise

1997

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