References
- Abo-Kasem, O. E., Nassar, M., Dey, S., & Rasouli, A. (2019). Classical and Bayesian estimation for two exponential populations based on joint type-I progressive hybrid censoring scheme. American Journal of Mathematical and Management Sciences, 38, 373–385.
- Balakrishnan, N. (2009). A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests. Metrika, 69, 351–396.
- Balakrishnan, N., & Cramer, E. (2014). The art of progressive censoring: Applications to reliability and quality (Statistics for Industry and Technology). Springer.
- Balakrishnan, N., Cramer, E., & Iliopoulos, G. (2014). On the method of pivoting the CDF for exact confidence intervals with illustration for exponential mean under life-test with time constraints. Statistics & Probability Letters, 89, 124–130.
- Balakrishnan, N., Cramer, E., Kamps, U., & Schenk, N. (2001). Progressive type II censored order statistics from exponential distributions. Statistics, 35(4), 537–556.
- Balakrishnan, N., & Kundu, D. (2013). Hybrid censoring: Models, inferential results and applications. Computational Statistics & Data Analysis, 57(1), 166–209.
- Balakrishnan, N., Rasouli, A., & Farsipour, N. S. (2008). Exact likelihood inference based on an unified hybrid censored sample from the exponential distribution. Journal of Statistical Computation and Simulation, 78(5), 475–488.
- Balakrishnan, N., Volterman, W., & Zhang, L. (2013). A meta-analysis of multisample Type-II censored data with parametric and nonparametric results. IEEE Transactions on Reliability, 62(1), 2–12.
- Banerjee, A., & Kundu, D. (2008). Inference based on Type-II hybrid censored data from a Weibull distribution. IEEE Transactions on Reliability, 57(2), 369–378.
- Bhattacharyya, G. K. (1995). Inferences under two-sample and multi-sample situations. In N. Balakrishnan & A. P. Basu (Eds.), The exponential distribution (pp. 93–118). Gordon and Breach.
- Billingsley, P. (1995). Probability and measure (3rd ed.). John Wiley & Sons, Inc.
- Burkschat, M., Cramer, E., & Górny, J. (2016). Type-I censored sequential k-out-of-n systems. Applied Mathematical Modelling, 40, 8156–8174.
- Casella, G., & Berger, R. L. (2002). Statistical inference (2nd ed.). Duxbury.
- Childs, A., Chandrasekar, B., & Balakrishnan, N. (2008). Exact likelihood inference for an exponential parameter under progressive hybrid censoring schemes. In F. Vonta, M. Nikulin, N. Limnios, and C. Huber-Carol (Eds.), Statistical models and methods for biomedical and technical systems, statistics for industry and technology (pp. 323–334). Birkhäuser.
- Childs, A., Chandrasekar, B., Balakrishnan, N., & Kundu, D. (2003). Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution. Annals of the Institute of Statistical Mathematics, 55(2), 319–330.
- Cho, Y., Sun, H., & Lee, K. (2015). Exact likelihood inference for an exponential parameter under generalized progressive hybrid censoring scheme. Statistical Methodology, 23, 18–34.
- Cramer, E., Burkschat, M., & Górny, J. (2016). On the exact distribution of the MLEs based on Type-II progressively hybrid censored data from exponential distributions. Journal of Statistical Computation and Simulation, 86(10), 2036–2052.
- Cramer, E., Górny, J., & Laumen, B. (2020). Multi-sample progressive Type-I censoring from exponentially distributed lifetimes. Communications in Statistics - Theory and Methods.
- Cramer, E., & Kamps, U. (1996). Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates. Annals of the Institute of Statistical Mathematics, 48(3), 535–549.
- Cramer, E., & Kamps, U. (1998a). Advances in stochastic models for reliability, quality and safety, chapter Maximum Likelihood Estimation With Different Sequential k-out-of-n Systems, pp. 101–111. Birkhäuser Boston, Boston, MA.
- Cramer, E., & Kamps, U. (1998b). Sequential k-out-of-n systems with Weibull components. Economic Quality Control, 13, 227–239.
- Cramer, E., & Kamps, U. (2001a). Estimation with sequential order statistics from exponential distributions. Annals of the Institute of Statistical Mathematics, 53(2), 307–324.
- Cramer, E., & Kamps, U. (2001b). Sequential k-out-of-n systems. In N. Balakrishnan & C. R. Rao (Eds.), Handbook of statistics: Advances in reliability (Vol. 20, chapter 12, pp. 301–372). Elsevier.
- de Boor, C. (2001). A practical guide to splines (Rev. ed.). Springer.
- Epstein, B. (1954). Truncated life tests in the exponential case. The Annals of Mathematical Statistics, 25(3), 555–564.
- Górny, J., & Cramer, E. (2016). Exact likelihood inference for exponential distributions under generalized progressive hybrid censoring schemes. Statistical Methodology, 29, 70–94.
- Górny, J., & Cramer, E. (2018a). Exact inference for a new flexible hybrid censoring scheme. Journal of the Indian Society for Probability and Statistics, 19, 169–199.
- Górny, J., & Cramer, E. (2018b). Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring. Metrika, 81, 173–210.
- Górny, J., & Cramer, E. (2019a). A volume based approach to establish B-spline based expressions for density functions and its application to progressive hybrid censoring. Journal of the Korean Statistical Society, 38, 340–355.
- Górny, J., & Cramer, E. (2019b). From B-spline representations to gamma representations in hybrid censoring. Statistical Papers, 60(4), 1119–1135.
- Górny, J., & Cramer, E. (2020). Type-I hybrid censoring of multiple samples. Journal of Computational and Applied Mathematics, 366(112404), 1–18.
- Górny, J. (2017). A new approach to hybrid censoring [PhD thesis]. RWTH Aachen University. https://doi.org/https://doi.org/10.18154/RWTH-2017-05192.
- Hahn, G. J., Meeker, W. Q., & Escobar, L. A. (2017). Statistical intervals: A guide for practitioners. John Wiley & Sons.
- Han, D., & Balakrishnan, N. (2010). Inference for a simple step-stress model with competing risks for failure from the exponential distribution under time constraint. Computational Statistics & Data Analysis, 54(9), 2066–2081.
- Iliopoulos, G. (2015). On exact confidence intervals in a competing risks model with generalized hybrid type-I censored exponential data. Journal of Statistical Computation and Simulation, 85(14), 2953–2961.
- Joarder, A., Krishna, H., & Kundu, D. (2009). On Type-II progressive hybrid censoring. J. Mod. Appl. Statist. Methods, 8(2), 534–546.
- Kateri, M., Kamps, U., & Balakrishnan, N. (2009). A meta-analysis approach for step-stress experiments. Journal of Statistical Planning and Inference, 139(9), 2907–2919.
- Kateri, M., Kamps, U., & Balakrishnan, N. (2010). Multi-sample simple step-stress experiment under time constraints. Statistica Neerlandica, 64(1), 77–96.
- Koley, A., & Kundu, D. (2017). On generalized progressive hybrid censoring in presence of competing risks. Metrika, 80, 401–426.
- Koley, A., Kundu, D., & Ganguly, A. (2017). Analysis of Type-II hybrid censored competing risks data. Statistics, 51(6), 1304–1325.
- Kundu, D., & Gupta, R. D. (2007). Analysis of hybrid life-tests in presence of competing risks. Metrika, 65(2), 159–170.
- Kundu, D., & Joarder, A. (2006). Analysis of Type-II progressively hybrid censored data. Computational Statistics & Data Analysis, 50(10), 2509–2528.
- Kundu, D., & Koley, A. (2017). Interval estimation of the unknown exponential parameter based on time truncated data. American Journal of Mathematical and Management Sciences, 36, 188–195.
- Lee, K., Sun, H., & Cho, Y. (2016). Exact likelihood inference of the exponential parameter under generalized Type II progressive hybrid censoring. Journal of the Korean Statistical Society, 45(1), 123–136.
- Lin, C.-T., Chou, C.-C., & Huang, Y.-L. (2012). Inference for the Weibull distribution with progressive hybrid censoring. Computational Statistics & Data Analysis, 56(3), 451–467.
- Ling, L., Xu, W., & Li, M. (2009). Parametric inference for progressive Type-I hybrid censored data on a simple step-stress accelerated life test model. Mathematics and Computers in Simulation, 79(10), 3110–3121.
- Mao, S., Shi, Y.-M., & Sun, Y.-D. (2014). Exact inference for competing risks model with generalized type-I hybrid censored exponential data. Journal of Statistical Computation and Simulation, 84(11), 2506–2521.
- Marshall, A. W., & Olkin, I. (2007). Life distributions. Structure of nonparametric, semiparametric, and parametric families. Springer.
- Mokhtari, E. B., Rad, A. H., & Yousefzadeh, F. (2011). Inference for Weibull distribution based on progressively Type-II hybrid censored data. Journal of Statistical Planning and Inference, 141(8), 2824–2838.
- Mondal, S., & Kundu, D. (2019). A new two sample Type-II progressive censoring scheme. Communications in Statistics - Theory and Methods, 48(10), 2602–2618.
- Nelson, W. B. (2004). Applied life data analysis. John Wiley & Sons Inc.
- Schenk, N., Burkschat, M., Cramer, E., & Kamps, U. (2011). Bayesian estimation and prediction with multiply Type-II censored samples of sequential order statistics from one- and two-parameter exponential distributions. Journal of Statistical Planning and Inference, 141(4), 1575–1587.
- Schumaker, L. L. (2007). Spline functions: Basic theory (3rd ed.). Cambridge University Press.
- Strøm, K. (1994). On convolutions of B-splines. Journal of Computational and Applied Mathematics, 55(1), 1–29.
- van Bentum, T., & Cramer, E. (2019). Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under sequential hybrid censoring. Statistics & Probability Letters, 148, 1–8.
- Volterman, W., & Balakrishnan, N. (2010). Exact nonparametric confidence, prediction and tolerance intervals based on multi-sample Type-II right censored data. Journal of Statistical Planning and Inference, 140(11), 3306–3316.
- Volterman, W., Balakrishnan, N., & Cramer, E. (2014). Exact meta-analysis of several independent progressively type-II censored data. Applied Mathematical Modelling, 38(3), 949–960.