### Table 5 Limiting yields in percent for different yield models. The poisson model

in 228

"... In PAGE 5: ...6 0.4 The yields in Table5 were obtained from these defect densities by using Eq. ( 13).... In PAGE 5: ...ensities by using Eq. ( 13). The results agreed well with the actual product yield, which indicates that the errors were averaeed out. Also shown in Table5 is the yield Table 6 Yield tracking with monitors. Although measurements were based on two or three monitor wafers per lot, results are by the Poisson distribution Of Eq apos; ( 12) apos; Tk quot; .... ..."

### TABLE I VALIDATION OF THE POISSON AND SIMULATION MODELS

### TABLE I GAUSSIAN, POISSON AND RAYLEIGH MODELS FOR THE OBSERVATIONS.

in An Unified Framework for Bayesian Denoising for Several Medical and Biological Imaging modalities

### Table 3: The summary statistics under the Poisson model n Poisson(2), o = 0:4727 Poisson(10), o = 0:7738

1997

"... In PAGE 10: ...) lt; 0. Thus a simple bisection algorithm can be used to solve this problem. When N is known the maximum likelihood estimator ^ (w) is a solution of e1( ) = 0 where e1( ) := t ? ? N ? n m + n quot; 0 (w; ) 1 ? (w; ) # : Given or , calculating ^ w follows from (5) or (11) directly, based on an inner loop precision. The simulation results are presented in Table3 . The same random numbers are used for two cases, known and unknown N, and precisions for the inner and outer loops are 0:001.... In PAGE 11: ...Poisson(2), the corresponding sample means of ^ are 2:001; 2:010; 2:022 but these for ^ are 0:72; 0:73; 0:74 with smaller standard deviation than those reported in Table 3. Hence, a bigger (than those in Table3 ) increases the bias and decreases the variance of ^ . Normal.... ..."

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### Table A.1: Choice of the link parameter to achieve a maximal absolute di erence np( ) = 0 between the generalized Poisson model and canonical Poisson model

2000

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### TABLE 1.1. Fitted GLIM deviances for Poisson GARMA models

### Table 1. Comparison of Bayes and MLE procedures for the Poisson-gamma model.

"... In PAGE 15: ... All simulations are carried out assuming that the sample estimates of j are also the correct parameter values. Table1 shows simulated values for the MSE, logarithmic loss and CPB of the MLE (plug-in) and both Bayesian procedures, based on 10,000 Monte Carlo replications and using 250 iterations of the Gibbs sampler to evaluate the Bayes estimates. Also shown in the table are theoretical values of the CPB as derived from the asymptotic procedure.... In PAGE 15: ...Table 2 shows the di erences between the MLE and Bayesian procedures as assessed by MSE and logarithmic loss, computed both from the simulated values in Table1 and from the asymptotic theory. In this case the numerical agreement is not good, but the main point of the example is that the theoretical results correctly suggest that prior 2 is superior to prior 1.... ..."

### Table 1. Comparison of Bayes and MLE procedures for the Poisson-gamma model.

"... In PAGE 14: ... All simulations are carried out assuming that the sample estimates of j are also the correct parameter values. Table1 shows simulated values for the MSE, logarithmic loss and CPB of the MLE (plug-in) and both Bayesian procedures, based on 10,000 Monte Carlo replications and using 250 iterations of the Gibbs sampler to evaluate the Bayes estimates. Also shown in the table are theoretical values of the CPB as derived from the asymptotic procedure.... In PAGE 15: ... Similar good agreement between theoretical and simulated values of the CPB has been observed for other values of and for other simulations of this problem (Smith 1997). Table 2 shows the di erences between the MLE and Bayesian procedures as assessed by MSE and logarithmic loss, computed both from the simulated values in Table1 and from the asymptotic theory. In this case the numerical agreement is not good, but the main point of the example is that the theoretical results correctly suggest that prior 2 is superior to prior 1.... ..."

### Table 1. Comparison of Bayes and MLE procedures for the Poisson-gamma model.

"... In PAGE 14: ... All simulations are carried out assuming that the sample estimates of j are also the correct parameter values. Table1 shows simulated values for the MSE, logarithmic loss and CPB of the MLE (plug-in) and both Bayesian procedures, based on 10,000 Monte Carlo replications and using 250 iterations of the Gibbs sampler to evaluate the Bayes estimates. Also shown in the table are theoretical values of the CPB as derived from the asymptotic procedure.... In PAGE 15: ... Similar good agreement between theoretical and simulated values of the CPB has been observed for other values of and for other simulations of this problem (Smith 1997). Table 2 shows the di erences between the MLE and Bayesian procedures as assessed by MSE and logarithmic loss, computed both from the simulated values in Table1 and from the asymptotic theory. In this case the numerical agreement is not good, but the main point of the example is that the theoretical results correctly suggest that prior 2 is superior to prior 1.... ..."