Model misspecification of Log-Normal and Birnbaum-Saunders distributions

References

• Alshunnar, F. S., M. Z. Raqab, and D. Kundu. 2010. On the comparison of the fisher information of the log-normal and generalized rayleigh distributions. Journal of Applied Statistics 37 (3):391–404. doi:10.1080/02664760802698961.
   Web of Science ®Google Scholar
• Bain, L. J., and M. Engelhardt. 1980. Probability of correct selection of weibull versus gamma based on likelihood ratio. Communications in Statistics - Theory and Methods 9 (4):375–81. doi:10.1080/03610928008827886.
   Web of Science ®Google Scholar
• Balakrishnan, N., and D. Kundu. 2019. Birnbaum-saunders distribution: A review of models, analyses and applications (with discussions). Applied Stochastic Models in Business and Industry 35 (1):4–49. doi:10.1002/asmb.2348.
   Web of Science ®Google Scholar
• Basavalingappa, A., J. M. Passage, M. Y. Shen, J. H. Lloyd, and H. Stassen. 2017. Electromigration: Log-normal versus weibull distribution. Paper presented at the Integrated Reliability Workshop (IIRW), IEEE International, Fallen Leaf Lake, CA, IEEE, pages 1–4.
   Google Scholar
• Basu, B., D. Tiwari, D. Kundu, and R. Prasad. 2009. Is weibull distribution the most appropriate statistical strength distribution for brittle materials? Ceramics International 35 (1):237–46. doi:10.1016/j.ceramint.2007.10.003.
   Web of Science ®Google Scholar
• Birnbaum, Z. W., and S. C. Saunders. 1969. A new family of life distribution. Journal of Applied Probability 6 (2):319–27. doi:10.2307/3212003.
   Web of Science ®Google Scholar
• Birnbaum, Z. W., and S. C. Saunders. 1969. Estimation for a family of life distributions with applications to fatigue. Journal of Applied Probability 6 (2):328–47. doi:10.2307/3212004.
   Web of Science ®Google Scholar
• Bjerkedal, T. 1960. Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. American Journal of Hygiene 72:130–48. doi:10.1093/oxfordjournals.aje.a120129.
   PubMed Web of Science ®Google Scholar
• Dey, A. K., and D. Kundu. 2009. Discriminating among the log-normal, weibull and generalized exponential distributions. IEEE Transactions on Reliability 58 (3):416–24. doi:10.1109/TR.2009.2019494.
   Web of Science ®Google Scholar
• Dey, A. K., and D. Kundu. 2012. Discriminating between the weibull and log-normal distributions for type-ii censored data. Statistics 46 (2):197–214. doi:10.1080/02331888.2010.504990.
   Web of Science ®Google Scholar
• Dumonceaux, R., and C. E. Antle. 1973. Discrimination between the log-normal and the weibull distributions. Technometrics 15 (4):923–6. doi:10.1080/00401706.1973.10489124.
   Web of Science ®Google Scholar
• Engelhardt, M., L. J. Bain, and F. T. Wright. 1981. Inferences on the parameters of the birnbaum-saunders fatigue life distribution based on maximum likelihood estimation. Technometrics 23 (3):251–5. doi:10.2307/1267788.
   Web of Science ®Google Scholar
• Fearn, D. H., and E. Nebenzahl. 1991. On the maximum likelihood ratio method of deciding between the weibull and gamma distributions. Communications in Statistics-Theory and Methods 20 (2):579–93. doi:10.1080/03610929108830516.
   Web of Science ®Google Scholar
• Ghosh, J. K., and K. Subramanyam. 1975. Inference about separated families in large samples. Sankhya, Ser. A 37:502–13.
   Google Scholar
• Greenwich, K. 1992. A unimodal hazard rate function and its failure distribution. Statistical Papers 33 (1):187–202. doi:10.1007/BF02925324.
   Google Scholar
• Gupta, R. C., N. Kannan, and A. Raychaudhuri. 1997. Analysis of lognormal survival data. Mathematical Biosciences 139 (2):103–15. doi:10.1016/s0025-5564(96)00133-2.
   PubMed Web of Science ®Google Scholar
• Kim, J. S., and B.-J. Yum. 2008. Selection between weibull and log-normal dis- tributions: A comparative simulation study. Computational Statistics and Data Analysis 43:477–85.
   Google Scholar
• Kundu, D., and A. Manglick. 2004. Discriminating between the weibull and log-normal distributions. Naval Research Logistics 51 (6):893–905. doi:10.1002/nav.20029.
   Web of Science ®Google Scholar
• Kundu, D., N. Kannan, and N. Balakrishnan. 2008. On the hazard function of birnbaum-saunders distribution and associated inference. Computational Statistics and Data Analysis 52 (5):2692–702. doi:10.1016/j.csda.2007.09.021.
   Web of Science ®Google Scholar
• Lemonte, A. J. 2016. A note on the fisher information matrix of the birnbaum-saunders distribution. Journal of Statistical Theory and Applications 15 (2):196–205. doi:10.2991/jsta.2016.15.2.9.
   Google Scholar
• Ling, M. H., and N. Balakrishnan. 2017. Model mis-specification analysis of weibull and gamma models based on one-shot device test data. IEEE Transactions on Reliability 66 (3):641–50. doi:10.1109/TR.2017.2703111.
   Web of Science ®Google Scholar
• Marshall, A. W., J. C. Meza, and I. Olkin. 2001. Can data recognize its parent distribution? Journal of Computational and Graphical Statistics 10 (3):555–80. doi:10.1198/106186001317115117.
   Web of Science ®Google Scholar
• Ng, H. K. T., D. Kundu, and N. Balakrishnan. 2003. Modified moment estimators for the two-parameter birnbaum-saunders distributions. Computational Statistics and Data Analysis 43 (3):283–98. doi:10.1016/S0167-9473(02)00254-2.
   Web of Science ®Google Scholar
• Pasari, S. 2018. Stochastic modeling of earthquake interoccurence times in northwest himalaya and adjoining regions. Geometics, Natural Hazards and Risk 9 (1):568–88. doi:10.1080/19475705.2018.1466730.
   Web of Science ®Google Scholar
• Pereira, B. B., and C. A. B. Pereira. 2016. Model choice in nonnested families. Berlin: Springer.
   Google Scholar
• Pesaran, M. H. 1987. Global and partial nonnested hypothesis and asymptotic local power. Econometric Theory 3 (1):69–97. doi:10.1017/S0266466600004138.
   Google Scholar
• Prajapati, D., M. H. Ling, P. S. Chan, and D. Kundu. 2023. Misspecification of copula for one-shot devices under constant stress accelerated life-tests. Part O: Journal of Risks and Reliability 237 (4):725–40. doi:10.1177/1748006X221108850.
   Web of Science ®Google Scholar
• Rieck, J. R., and J. R. Nedelman. 1991. A log-linear model for the birnbaum-saunders distribution. Technometrics 33 (1):51–60. doi:10.2307/1269007.
   Web of Science ®Google Scholar
• White, H. 1982. Maximum likelihood estimation of mis-specified models. Econometrica 50 (1):1–25. doi:10.2307/1912526.
   Web of Science ®Google Scholar