### TABLE 2: Small Sample Properties of OLS and AMMSE: Some Illustrative Experiments

### Table 1 by their bias and mean squared error (MSE). Fig. 3 plots the MSE found in Table 1 for the wavelet OLS and GPH estimators against d. For each value of d and T , the relative precision MSE(OLS)/MSE(GPH) was close to 0.2, suggesting that the small and large sample properties of the wavelet OLS estimator are superior to the GPH estimators. When d was held constant, both estimator apos;s MSE declined as T increased. Whereas, for xed T the wavelet OLS estimator apos;s MSE was not sensitive to changes in the value of d, while for T = 27; 28 the GPH MSE was sensitive. The box-plots in Fig. 1 and 2 are informative in their ability to reveal the precision of the wavelet OLS estimator. In Fig. 1 the upper and lower quartiles of the wavelet OLS estimator only overlap with the quartiles from d 0:1 when T = 27. This is in contrast with the GPH estimator where, except for the sample T = 210 (Fig. 2d), its upper and lower quartiles overlapped with those from d 0:2.

in Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter

1999

"... In PAGE 11: ...Table1... In PAGE 13: ...0067 0.0178 * * Table1 : Bias and mean-squared error (MSE) of the wavelet OLS, GPH and MW estimator of the fractional di erencing parameter, d, from 1000 I(d) processes with T observations. The approximate standard error for the bias is given by p6=(1000T 2) and for the MSEs p72=(1000T 2 4).... ..."

Cited by 13

### Table 6. Representative electromechanical properties of MFC devices.

2004

"... In PAGE 11: ... Mechanical properties Although the single-crystal samples prepared in this study were too small to adequately measure their elastic properties directly, mechanics-of-materials-based micromechanics models have been very successful at predicting the orthotropic elastic properties of standard MFC devices.14,15 We present calculated estimates of several useful mechanical properties of the PMN-PT single-crystal MFC device in Table6 . Given the limited experimental data base (one sample) and the potential variability in available PMN-PT single-crystal bulk property data (up to 20%), these estimated properties should be used carefully.... ..."

Cited by 1

### TABLE 1: CASE-CLUSTER SAMPLE - ORGANIZATIONAL CHARACTERISTICS

### Table 1. Mechanical Properties of Arylene vs Alkylene Composites at 5% Silsesquioxane.

### Table 4: Properties of sampled programs

"... In PAGE 7: ... From pa20, pa24, and R, we then computed the score S of the resulting report, using CODESURFER to compute the PDG of pa24. Table4 shows statistics about the experiments, summarized by program. #calls is the lengths of the traces (in function calls), avg(time) is the average time in seconds for computing the diag- nosis, #tests is the number of executed test runs per diagnosis, and #cts the number of isolated direct cause transitions (i.... ..."

### TABLE 1 KEY SAMPLE PROPERTIES

### TABLE 1 CLUSTER SAMPLE AND PROPERTIES

### Table 4: Properties of sampled programs

"... In PAGE 7: ... From pa20, pa24, and R, we then computed the score S of the resulting report, using CODESURFER to compute the PDG of pa24. Table4 shows statistics about the experiments, summarized by program. #calls is the lengths of the traces (in function calls), avg(time) is the average time in seconds for computing the diag- nosis, #tests is the number of executed test runs per diagnosis, and #cts the number of isolated direct cause transitions (i.... ..."