Confidence bands for exponential distribution functions under progressive type-II censoring

References

• Balakrishnan N, Aggarwala R. Progressive censoring: theory, methods, and applications. Boston: Birkhäuser; 2000.
   Google Scholar
• Balakrishnan N, Cramer E. The art of progressive censoring. New York (NY): Birkhäuser; 2014.
   Google Scholar
• Balakrishnan N. Progressive censoring methodology: an appraisal. Test. 2007;16(2):211–259.
   Web of Science ®Google Scholar
• Cramer E. Progressive censoring schemes. In: Balakrishnan N, Brandimarte P, Everitt B, et al., editors. Wiley StatsRef: statistics reference online. New York (NY): Wiley; 2017. p. 1–6.
   Google Scholar
• Balakrishnan N, Hayter AJ, Liu W, et al. Confidence intervals for quantiles of a two-parameter exponential distribution under progressive type-ii censoring. Commun Stat – Theory Methods. 2015;44(14):3001–3010.
   Web of Science ®Google Scholar
• Döring M, Cramer E. On the power of goodness-of-fit tests for the exponential distribution under progressive type-II censoring. J Stat Comput Simul. 2019;89(16):2997–3034.
   Web of Science ®Google Scholar
• Malekzadeh A, Kharrati-Kopaei M. Simultaneous confidence intervals for the quantile differences of several two-parameter exponential distributions under the progressive type ii censoring scheme. J Stat Comput Simul. 2020;90(11):2037–2056.
   Web of Science ®Google Scholar
• Bai X, Shi Y, Liu Y, et al. Reliability inference of stress-strength model for the truncated proportional hazard rate distribution under progressively type-II censored samples. Appl Math Model. 2019;65:377–389.
   Web of Science ®Google Scholar
• Mondal S, Kundu D. Point and interval estimation of Weibull parameters based on joint progressively censored data. Sankhyā. 2019;81(1):1–25.
   Google Scholar
• Nair VN. Confidence bands for survival functions with censored data: a comparative study. Technometrics. 1984;26:265–275.
   Web of Science ®Google Scholar
• Hollander M, McKeague IW, Yang J. Likelihood ratio-based confidence bands for survival functions. J Am Stat Assoc. 1997;92(437):215–226.
   Web of Science ®Google Scholar
• Srinivasan R, Kanofsky P, Wharton RM. Simultaneous confidence intervals for exponential distributions. Sankhyā. 1975;37(3):271–292.
   Google Scholar
• Kanofsky P. Derivation of simultaneous confidence intervals for parametric functions from a parametric confidence region. Sankhyā. 1968;30(4):379–386.
   Google Scholar
• Kanofsky P. Parametric confidence bands on cumulative distribution functions. Sankhyā. 1968;30(4):369–378.
   Google Scholar
• Mies F, Bedbur S. On the coverage probabilities of parametric confidence bands for continuous distribution and quantile functions constructed via confidence regions for a location-scale parameter. Ann Inst Stat Math. 2017;69:925–944.
   Web of Science ®Google Scholar
• Kanofsky P, Srinivasan R. An approach to the construction of parametric confidence bands on cumulative distribution functions. Biometrika. 1972;59(3):623–631.
   Web of Science ®Google Scholar
• Wu SF. Interval estimation for the two-parameter exponential distribution under progressive censoring. Qual Quant. 2010;44:181–189.
   Web of Science ®Google Scholar
• Hayter AJ. Confidence bands for the reliability function of a two-parameter exponential model. J Quality Technol. 2012;44(2):155–160.
   Web of Science ®Google Scholar
• Fernández AJ. Computing optimal confidence sets for Pareto models under progressive censoring. J Comput Appl Math. 2014;258:168–180.
   Web of Science ®Google Scholar
• Asgharzadeh A, Fernández AJ, Abdi M. Confidence sets for the two-parameter Rayleigh distribution under progressive censoring. Appl Math Model. 2017;47:656–667.
   Web of Science ®Google Scholar
• Bedbur S, Kamps U, Lennartz JM. On a smallest confidence region for a location-scale parameter in progressively type-II censored lifetime experiments. Stat Probab Lett. 2019;154:108545.
   Google Scholar
• Zhang J. Minimum volume confidence sets for two-parameter exponential distributions. Am Stat. 2018;72(3):213–218.
   Web of Science ®Google Scholar
• Lennartz JM, Bedbur S, Kamps U. Minimum area confidence regions and their coverage probabilities for type-II censored exponential data. Stat Pap. 2021;62(1):171–191.
   PubMed Web of Science ®Google Scholar
• Viveros R, Balakrishnan N. Interval estimation of parameters of life from progressively censored data. Technometrics. 1994;36(1):84–91.
   Web of Science ®Google Scholar
• Nelson W. Applied life data analysis. Hoboken: Wiley; 1982.
   Google Scholar
• Kamps U. A concept of generalized order statistics. J Stat Plan Inference. 1995;48(1):1–23.
   Web of Science ®Google Scholar
• Kamps U. A concept of generalized order statistics. Stuttgart: Teubner; 1995.
   Google Scholar
• Cramer E, Kamps U. Marginal distributions of sequential and generalized order statistics. Metrika. 2003;58(3):293–310.
   Web of Science ®Google Scholar
• Cramer E, Kamps U. Sequential k-out-of-n systems. In: Balakrishnan N, Rao CR, editors. Advances in reliability, handbook of statistics. Vol. 20. Amsterdam: Elsevier; 2001. p. 301–372.
   Google Scholar
• Cramer E. Sequential order statistics. In: Balakrishnan N, Brandimarte P, Everitt B, et al., editors. Wiley StatsRef: statistics reference online. New York (NY): Wiley; 2016. p. 1–7.
   Google Scholar
• Burkschat M, Cramer E, Górny J. Type-I censored sequential k-out-of-n systems. Appl Math Model. 2016;40(19–20):8156–8174.
   Web of Science ®Google Scholar
• Mies F, Bedbur S. Exact semiparametric inference and model selection for load-sharing systems. IEEE – Trans Reliab. 2020;69(3):863–872.
   Web of Science ®Google Scholar
• Kamps U. Generalized order statistics. In: Balakrishnan N, Brandimarte P, Everitt B, et al., editors. Wiley statsref: statistics reference online. Chichester: Wiley; 2016. p. 1–12.
   Google Scholar