Narayanaswamy Balakrishnan - Accelerated Life Testing of One-shot Devices

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),...

1 Chapter 2Figure 2.1 Histograms of the MLEs (first row), along with log/logit (second ...Figure 2.2 Histograms of the MLEs (first row), along with log/logit (second ...Figure 2.3 Histograms of the MLEs (first row), along with log/logit (second ...Figure 2.4 Histograms of the MLEs (first row), along with log/logit (second ...

2 Chapter 5Figure 5.1 RMSE of the WMDPDE of as well as the significance level and the...Figure 5.2 RMSE of the WMDPDE of as well as the significance lev...Figure 5.3 RMSE of the WMDPDE of as well as the significance level and the...