Reliability estimation for Kumaraswamy distribution under block progressive type-II censoring

References

• Alotaibi R, Nassar M, Rezk H, et al. Inferences and engineering applications of alpha power Weibull distribution using progressive type-II censoring. Mathematics. 2022;10(16):2901. doi:10.3390/math10162901
   Web of Science ®Google Scholar
• Almalki SJ, Abd-Elmougod GA, Al-Malki MJ. Statistical inferences of reduced modified Weibull distribution under progressive type-II censoring data. J Stat Appl Probab. 2022;11(2):603–616. doi:10.18576/jsap
   Google Scholar
• Zhang W, Gui W. Statistical inference and optimal design of accelerated life testing for the Chen distribution under progressive type-II censoring. Mathematics. 2022;10(9):1609. doi:10.3390/math10091609
   Web of Science ®Google Scholar
• Wu SF, Chang WT. Bayesian testing procedure on the lifetime performance index of products following Chen lifetime distribution based on the progressive type-II censored sample. Symmetry. 2021;13(8):1322. doi:10.3390/sym13081322
   Google Scholar
• Elshahhat A, Rastogi MK. Estimation of parameters of life for an inverted Nadarajah–Haghighi distribution from type-II progressively censored samples. J Indian Soc Probab Stat. 2021;22(1):113–154. doi:10.1007/s41096-021-00097-z
   Google Scholar
• Ma JG, Wang L, Tripathi YM, et al. Reliability inference for stress-strength model based on inverted exponential Rayleigh distribution under progressive type-II censored data. Commun Stat Simul Comput. 2023;52(6):2388–2407. doi:10.1080/03610918.2021.1908552
   Web of Science ®Google Scholar
• Lodhi C, Mani Tripathi Y, Kumar Rastogi M. Estimating the parameters of a truncated normal distribution under progressive type II censoring. Commun Stat Simul Comput. 2021;50(9):2757–2781. doi:10.1080/03610918.2019.1614619
   Google Scholar
• Ahmed EA. Bayesian estimation based on progressive type-II censoring from two-parameter bathtub-shaped lifetime model: a Markov chain Monte Carlo approach. J Appl Stat. 2014;41(4):752–768. doi:10.1080/02664763.2013.847907
   Web of Science ®Google Scholar
• Rastogi MK, Tripathi YM, Wu SJ. Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring. J Appl Stat. 2012;39(11):2389–2411. doi:10.1080/02664763.2012.710899
   Web of Science ®Google Scholar
• Wu SJ, Rastogi MK, Tripathi YM. Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring. J Appl Stat. 2012;39(11):2389–2411. doi:10.1080/02664763.2012.710899
   Web of Science ®Google Scholar
• Balakrishnan N, Aggarwala R. Progressive censoring: theory, methods, and applications. NJ: Springer Science & Business Media; 2000.
   Google Scholar
• Balakrishnan N, Cramer E. The art of progressive censoring. NJ: Birkhauser; 2014.
   Google Scholar
• Ahmadi MV, Doostparast M, Ahmadi J. Block censoring scheme with two-parameter exponential distribution. J Stat Comput Simul. 2018;88(7):1229–1251. doi:10.1080/00949655.2018.1426763
   Web of Science ®Google Scholar
• Zhu T. Reliability estimation for two-parameter Weibull distribution under block censoring. Reliab Eng Syst Safety. 2020;203:107071. doi:10.1016/j.ress.2020.107071
   Web of Science ®Google Scholar
• Wang L, Wu SJ, Lin H, et al. Inference for block progressive censored competing risks data from an inverted exponentiated exponential model. Qual Reliab Eng Int. 2023. https://doi.org/10.1002/qre.3382.
   Web of Science ®Google Scholar
• Kumaraswamy P. A generalized probability density function for double-bounded random processes. J Hydrol. 1980;46(1–2):79–88. doi:10.1016/0022-1694(80)90036-0
   Web of Science ®Google Scholar
• Jones MC. Kumaraswamy's distribution: a beta-type distribution with some tractability advantages. Stat Methodol. 2009;6(1):70–81. doi:10.1016/j.stamet.2008.04.001
   Google Scholar
• Mitnik PA, Baek S. The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation. Stat Pap. 2013;54:177–192. doi:10.1007/s00362-011-0417-y
   Web of Science ®Google Scholar
• Gholizadeh R, Khalilpor M, Hadian M. Bayesian estimations in the Kumaraswamy distribution under progressively type II censoring data. Int J Eng Sci Technol. 2011;3(9):47–65. doi:10.4314/ijest.v3i9.4
   Google Scholar
• Sindhu TN, Feroze N, Aslam M. Bayesian analysis of the Kumaraswamy distribution under failure censoring sampling scheme. Int J Adv Sci Technol. 2013;51:39–58.
   Google Scholar
• Nadar M, Kızılaslan F, Papadopoulos A. Classical and Bayesian estimation of P(Y<X) for Kumaraswamy's distribution. J Stat Comput Simul. 2014;84(7):1505–1529. doi:10.1080/00949655.2012.750658
   Web of Science ®Google Scholar
• Nadarajah S. On the distribution of Kumaraswamy. J Hydrol. 2008;348(3):568–569. doi:10.1016/j.jhydrol.2007.09.008
   Web of Science ®Google Scholar
• Sultana F, Tripathi YM, Rastogi MK, et al. Parameter estimation for the Kumaraswamy distribution based on hybrid censoring. Am J Math Manag Sci. 2018;37(3):243–261.
   Google Scholar
• Wang L. Inference of progressively censored competing risks data from Kumaraswamy distributions. J Comput Appl Math. 2018;343:719–736. doi:10.1016/j.cam.2018.05.013
   Web of Science ®Google Scholar
• Mahto AK, Lodhi C, Tripathi YM, et al. Inference for partially observed competing risks model for Kumaraswamy distribution under generalized progressive hybrid censoring. J Appl Stat. 2022;49(8):2064–2092. doi:10.1080/02664763.2021.1889999
   PubMed Web of Science ®Google Scholar
• Barndorff-Nielsen OE, Cox DR. Inference and asymptotics. Boca Raton: Routledge; 2017.
   Google Scholar
• Cramer H. Mathematical methods of statistics. Princeton (NJ): Princeton University Press; 1946.
   Google Scholar
• Hoadley B. Asymptotic properties of maximum likelihood estimators for the independent not identically distributed case. Ann Math Stat. 1971;42(6):1977–1991. doi:10.1214/aoms/1177693066
   Google Scholar
• Lin CT, Balakrishnan N. Asymptotic properties of maximum likelihood estimators based on progressive type-II censoring. Metrika. 2011;74:349–360. doi:10.1007/s00184-010-0306-8
   Web of Science ®Google Scholar
• Balakrishnan N, Sandhu RA. A simple simulational algorithm for generating progressive type-II censored samples. Am Stat. 1995;49(2):229–230.
   Web of Science ®Google Scholar
• Snedecor GW, Cochran WG. Statistical methods. 6th ed. The Iowa State University; USA, 1967.
   Google Scholar
• Hand DJ, Daly F, Lunn AD, et al. A handbook of small data sets. London: Chapman and Hall; 1994.
   Google Scholar
• Box GE, Cox DR. An analysis of transformations. J R Stat Soc B Stat Methodol. 1964; 26(2):211–243.
   Google Scholar