Читать книгу Accelerated Life Testing of One-shot Devices - Narayanaswamy Balakrishnan - Страница 3

1 Chapter 1Table 1.1 Failure records on electro‐explosive devices under CSALTs with temp...Table 1.2 Failure records on glass capacitors under CSALTs with two stress fa...Table 1.3 Failure records on solder joints under CSALTs with temperature (K) ...Table 1.4 Failure records on grease‐based magnetorheological fluids under SSA...Table 1.5 The number of mice sacrificed, with tumor from tumorigenecity exper...Table 1.6 The number of mice sacrificed, died without tumor, and died with tu...Table 1.7 Serial sacrifice data on the presence or absence of two disease cat...

2 Chapter 2Table 2.1 One‐shot device testing data under CSALTs with multiple acceleratin...Table 2.2 The first‐order derivatives of mean lifetime and reliability functi...Table 2.3 CSALTs with two accelerating factors and test groups.Table 2.4 Average numbers of iterations for different sample sizes under the ...Table 2.5 Bias and RMSEs of MLEs of the model parameter, , mean lifetime, a...Table 2.6 Bias and RMSEs of MLEs of the model parameters, mean lifetime, a...Table 2.7 Coverage probabilities and average widths of 95% confidence intervals ...Table 2.8 Coverage probabilities and average widths of 95% asymptotic confidence...Table 2.9 Coverage probabilities and average widths of 95% confidence intervals ...Table 2.10 Coverage probabilities and average widths of 95% confidence intervals...Table 2.11 R codes for defining the data in Tables 1.1 and 1.2.Table 2.12 R codes for point estimation and 95% confidence intervals for the ...Table 2.13 R outputs for inference based on electro‐explosive devices data in...Table 2.14 R outputs for inference based on glass capacitors data in Table 1....

3 Chapter 3Table 3.1 The values of the hyperparameters for Laplace, normal, and beta pri...Table 3.2 Bias and RMSEs of Bayesian estimates of the model parameter, , mean...Table 3.3 Bias and RMSEs of Bayesian estimates of the model parameter, , mean li...Table 3.4 Bias and RMSEs of Bayesian estimates of the model parameter, , mean...Table 3.5 Coverage probabilities (CP) and average widths (AW) of 95% credible...Table 3.6 Coverage probabilities (CP) and average widths (AW) of 95% credible in...Table 3.7 Coverage probabilities (CP) and average widths (AW) of 95% credible...Table 3.8 The values of the hyperparameters for Laplace, normal, and beta pri...Table 3.9 R codes for the estimation of parameters and 95% credible intervals...Table 3.10 Bayesian estimates for glass capacitors data in Table 1.2 for expo...Table 3.11 95% credible intervals for glass capacitors data in Table 1.2 for ...

4 Chapter 4Table 4.1 CSALTs with one stress factor on one‐shot devices for the simulatio...Table 4.2 Relative bias and RMSEs of the estimates of mean lifetime and relia...Table 4.3 Relative bias and RMSEs of the estimates of mean lifetime and relia...Table 4.4 Power of detection of the two distributions by the AIC and distance...Table 4.5 Coverage probability (CP) and average width (AW) of 95% confidence ...Table 4.6 Coverage probability (CP) and average width (AW) of 95% confidence int...Table 4.7 Average width of 95% confidence intervals for mean lifetime and reliab...Table 4.8 Coverage probability of mean lifetime and reliability at four missi...Table 4.9 Modified serial sacrifice data, from Table 1.7, on the presence or ...Table 4.10 R outputs for the log‐likelihood, the AIC and the distance‐based t...

5 Chapter 5Table 5.1 Null and alternative hypotheses for exponential, gamma, and Weibull...Table 5.2 R codes for computing WMDPDEs and Wald‐type test statistic values f...Table 5.3 The WMDPDEs of model parameters, reliability at various mission times,Table 5.4 The WMDPDEs of model parameters, reliability at various mission times,Table 5.5 The WMDPDEs of model parameters, reliability at various mission times,

6 Chapter 6Table 6.1 CSALTs with test groups and inspection times for one‐shot device...Table 6.2 Bias, RMSEs, coverage probabilities, and average widths of confide...Table 6.3 Power analysis of distance‐based test statistic for testing the pr...Table 6.4 R codes for point estimation and 95% asymptotic/approximate confide...Table 6.5 R outputs for inference on model parameters based on mice tumor tox...Table 6.6 R outputs for inference on the probability of female mice ( ) recei...

7 Chapter 7Table 7.1 R codes for optimal CSALTs subject to a budget of $200 000 and term...Table 7.2 R codes for optimal CSALTs subject to the limit of standard deviati...Table 7.3 Optimal CSALTs with different termination times and under different...Table 7.4 Optimal CSALTs with different termination times and under different...Table 7.5 Optimal CSALTs with different standard deviations, , of the reliabi...Table 7.6 Optimal CSALTs with two stress factors for one‐shot devices under d...Table 7.7 Sensitivity analysis of optimal CSALTs under various combinations o...Table 7.8 Sensitivity analysis of optimal CSALTs under various combinations of p...Table 7.9 Sensitivity analysis of optimal CSALTs under various combinations o...

8 Chapter 8Table 8.1 One‐shot device testing data under SSALTs with two stress levels.Table 8.2 R codes for optimal SSALTs for the exponential distribution.Table 8.3 Optimal designs of SSALTs for electro‐explosive devices with parame...Table 8.4 Sensitivity analysis of the choice of values with small /moderate...Table 8.5 R codes for optimal SSALTs for the Weibull distribution.Table 8.6 Optimal designs for G‐MRFs (Zheng et al., 2018) to estimate the rel...Table 8.7 Optimal designs with fixed and limit on standard deviation of 0.05...Table 8.8 Optimal designs with fixed and limit on standard deviation of 0.01...Table 8.9 Optimal designs with fixed and limit on standard deviation of 0.05...Table 8.10 Optimal designs with fixed and limit on standard deviation of 0.0...Table 8.11 Sensitivity analysis of the choice of parameter values with small...Table 8.12 Sensitivity analysis of the choice of parameter values with small...

9 Chapter 9Table 9.1 One‐shot device testing data collected from CSALTs with test group...Table 9.2 The conditional expectations for different cases (without masked da...Table 9.3 The conditional expectations of missing data for different cases (w...Table 9.4 The explicit expectations of , and for different cases (without m...Table 9.5 Parameter values for exponential lifetime distribution used in the ...Table 9.6 Bias of the estimates of parameters for devices with two competing ...Table 9.7 RMSE of the estimates of parameters for devices with two competing ...Table 9.8 Bias of the estimates of parameters for devices with two competing ...Table 9.9 RMSE of the estimates of parameters for devices with two competing ...Table 9.10 Parameter values for Weibull lifetime distribution used in the sim...Table 9.11 Bias and RMSE of the estimates of parameters for devices with two ...Table 9.12 R codes for defining ED01 experiment data with two causes of death...Table 9.13 The values of the hyperparameters for Laplace, normal, and Dirichl...Table 9.14 The modified data from Table 1.6 with masked cause of death.Table 9.15 R codes for the estimation of model parameters, mean lifetime, and...Table 9.16 R codes for the estimation for competing risks model underexponent...Table 9.17 R outputs for ED01 experiment data in Table 1.6 and 9.14 for compe...Table 9.18 R codes for the estimation for competing risks model under Weibull...Table 9.19 R outputs for ED01 experiment data in Table 1.6 and the modified d...

10 Chapter 10Table 10.1 Form of one‐shot device testing data with two failure modes.Table 10.2 Bias and root mean square error (RMSE) of the QMLEs of parameters Table 10.3 Bias and root mean square error (RMSE) of the QMLEs of parameters Table 10.4 R codes for defining the data with two correlated disease categori...Table 10.5 R codes for the estimation of model parameters under Gumbel–Hougaa...Table 10.6 QMLEs and 95% percentile bootstrap confidence intervals of paramet...Table 10.7 Estimates of the probabilities of absence of disease category (a),...