Robust inference and model selection for data from one-shot devices under cyclic accelerated life-tests with an application to a test of CSP solder joints
Restricted accessResearch articleFirst published online October, 2025
Robust inference and model selection for data from one-shot devices under cyclic accelerated life-tests with an application to a test of CSP solder joints
We introduce here a new family of divergence-based estimators in this work for predicting the lifetimes of one-shot devices subjected to cyclic Accelerated Life-Tests (ALTs). This family, which includes the maximum likelihood estimator (MLE) as a special case, offers a robust alternative to traditional inferential procedures. We also present a family of divergence-based model selection criteria. A simulation study and a numerical example illustrate the advantages of these estimators and the robust inferential methods based on them.
FanTHBalakrishnanNChangCC.The Bayesian approach for highly reliable electro-explosive devices using one-shot device testing. J Stat Comput Simul2009; 79(9): 1143–1154.
2.
BalakrishnanNLingMH.Multiple-stress model for one-shot device testing data under exponential distribution. IEEE Trans Reliab2012; 61(3): 809–821.
3.
BalakrishnanNLingMH.Gamma lifetimes and one-shot device testing analysis. Reliab Eng Syst Saf2014; 126: 54–64.
4.
LingMHHuXW.Optimal design of simple step-stress accelerated life tests for one-shot devices under Weibull distributions. Reliab Eng Syst Saf2020; 193: 106630.
5.
BalakrishnanNLingMHSoHY.Accelerated life testing of one-shot devices: Data collection and analysis. Hoboken New Jersey: John Wiley & Sons, 2021.
6.
BaghelSMondalS.Analysis of one-shot device testing data under logistic-exponential lifetime distribution with an application to SEER gallbladder cancer data. Appl Math Model2024; 126: 159–184.
7.
ChengYElsayedEA.Reliability modeling of mixtures of one-shot units under thermal cyclic stresses. Reliab Eng Syst Saf2017; 167: 58–66.
8.
ZhuXLiuKHeM, et al. Reliability estimation for one-shot devices under cyclic accelerated life-testing. Reliab Eng Syst Saf2021; 212: 107595.
9.
ZhuXLiuK.Reliability of one-shot device with generalized gamma lifetime under cyclic accelerated life-test. Proc Inst Mech Eng, Part O J Risk Reliab2022; 236(6): 1007–1023.
10.
BalakrishnanNCastillaEMartínN, et al. Robust estimators and test statistics for one-shot device testing under the exponential distribution. IEEE Trans Inf Theory2019; 65(5): 3080–3096.
11.
BalakrishnanNCastillaE.Robust estimation based on one-shot device test data under log-normal lifetimes. Statistics2023; 57(5): 1061–1086.
12.
BalakrishnanNCastillaE.Robust inference for destructive one-shot device test data under Weibull lifetimes and competing risks. J Comput Appl Math2024; 437: 115452.
13.
BalakrishnanNCastillaE.Statistical modeling and robust inference for one-shot devices. Academic Press, Elsevier, 2025.
MansonSS.Thermal stress and low cycle fatigue. New York, McGraw-Hill, 1996.
16.
NorrisKCLandzbergAH.Reliability of controlled collapse interconnections. IBM J Res Dev1969; 13(3): 266–271.
17.
CuiH. Accelerated temperature cycle test and Coffin-Manson model for electronic packaging. In: Proceedings of annual reliability and maintainability symposium, Anaheim, CA, January 2005, pp. 556–560.
18.
BalakrishnanNKunduD.Birnbaum-Saunders distribution: a review of models, analysis and applications. Appl Stoch Mod Bus Indust2019; 35: 4–132.
19.
DorfmanR.A note on the -method for finding variance formulae. Biom Bull1938; 1: 129–137.
20.
AvlogarisGMicheasACZografosK.A criterion for local model selection. Sankhya Series A2019; 81: 406–444.
21.
CastillaEMartínNPardoL, et al. Model selection in a composite likelihood framework based on density power divergence. Entropy2020; 22(3): 270.
22.
ShohjiIMoriHOriiY.Solder joint reliability evaluation of chip scale package using a modified Coffin–Manson equation. Microelectron Reliab2004; 44: 269–274.
23.
YangG.Life cycle reliability engineering. Hoboken, New Jersey: John Wiley & Sons, 2007.
24.
GhoshABasuA.Robust estimation for independent non-homogeneous observations using density power divergence with applications to linear regression. Electron J Stat2013; 7: 2420–2456.