Accelerated Life Testing of One-shot Devices. Narayanaswamy Balakrishnan

11: Conclusions and Future Directions 11.1 Brief Overview 11.2 Concluding Remarks 11.3 Future Directions

      18  Appendix A: Derivation of

      19  Appendix B: Observed Information Matrix

      20  Appendix C: Non‐Identifiable Parameters for SSALTs Under Weibull Distribution

      21  Appendix D: Optimal Design Under Weibull Distributions with Fixed

      22  Appendix E: Conditional Expectations for Competing Risks Model Under Exponential Distribution

      23  Appendix F: Kendall's Tau for Frank Copula

      24  Bibliography

      25  Author Index

      26  Subject Index

      27  End User License Agreement

      List of Tables

      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