References
- Baratnia, M., and M. Doostparast. 2019. One-way classification with random effects: A reversed-hazard-based approach. Journal of Computational and Applied Mathematics 349:60–69. doi:10.1016/j.cam.2018.09.024.
- Baratnia, M., and M. Doostparast. 2020. A random effects model for comparing pareto populations. Computers & Industrial Engineering 147:106612. doi:10.1016/j.cie.2020.106612.
- Bartlett, M. S. 1939. A note on tests of significance in multivariate analysis. Mathematical Proceedings of the Cambridge Philosophical Society 35 (2):180–85. doi:10.1017/S0305004100020880.
- Block, H. W., T. H. Savits, and H. Singh. 1998. The reversed hazard rate function. Probability in the Engineering and Informational Sciences 12 (1):69–90. doi:10.1017/S0269964800005064.
- Casella, G., and R. L. Berger. 2002. Statistical inference. 2nd ed. California, USA: Thomson Learning.
- Celik, N., and B. Senoglu. 2018. Robust estimation and testing in one-way ANOVA for Type II censored samples: Skew normal error terms. Journal of Statistical Computation and Simulation 88:1382–93.
- Chandra, N. K., and D. Roy. 2001. Some results on reversed hazard rate. Probability in the Engineering and Informational Sciences 15 (1):95–102. doi:10.1017/S0269964801151077.
- Cox, D. R. 1972. Regression models and life-tables. Journal of the Royal Statistical Society: Series B (Methodological) 34 (2):187–220. doi:10.1111/j.2517-6161.1972.tb00899.x.
- Crowder, M. J. 1978. Beta-binomial ANOVA for proportions. Applied Statistics 27 (1):34–37. doi:10.2307/2346223.
- David, H. A. 1981. Order statistics. 2nd ed. Hoboken, NJ: Wiley.
- Eden, T., and R. A. Fisher. 1927. Studies in crop variation: IV. The experimental determination of the value of top dressings with cereals. The Journal of Agricultural Science 17 (4):548–62. doi:10.1017/S0021859600018827.
- Fisher, R. A. 1925. Statistical methods for research workers. Edinburgh: Oliver and Boyd.
- Guo, S. 2010. Survival analysis. Oxford: Oxford University Press.
- Gupta, R. C., and R. D. Gupta. 2007. Proportional reversed hazard rate model and its applications. Journal of Statistical Planning and Inference 137:3525–36. doi:10.1016/j.jspi.2007.03.029.
- Gut, A. 2013. Probability: A graduate course. 2nd ed. New York: Springer.
- Hogg, R. V., and A. T. Craig. 1978. Introduction to mathematical statistics. 4th ed. London: Macmillan.
- Khuri, A. I. 2003. Advanced calculus with applications in statistics. 2nd ed., revised and expanded. Hoboken, NJ: Wiley.
- Kizilaslan, F. 2017. The e-Bayesian and hierarchical Bayesian estimations for the proportional reversed hazard rate model based on record values. Journal of Statistical Computation and Simulation 87:2253–73.
- Kruskal, W. H., and W. A. Wallis. 1952. Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association 47 (260):583–621. doi:10.1080/01621459.1952.10483441.
- Liu, X. 2012. Survival analysis, models and applications. Hoboken, NJ: Wiley.
- McCulloch, C. E., S. R. Searle, and J. M. Neuhaus. 2008. Generalized, linear, and mixed models. 2nd ed. Hoboken, NJ: Wiley.
- Nelder, J. A., and R. W. M. Wedderburn. 1972. Generalized linear models. Journal of the Royal Statistical Society, Series A 135 (3):370–84. doi:10.2307/2344614.
- Nunes, C., D. Ferreira, S. S. Ferreira, and J. T. Mexia. 2014. Fixed effects ANOVA: An extension to samples with random size. Journal of Statistical Computation and Simulation 84 (11):2316–28. doi:10.1080/00949655.2013.791293.
- Rohatgi, V. K., and A. K. M. Ehsanes Saleh. 2001. An Introduction to probability and statistics. Hoboken, NJ: Wiley.
- Roy, S. N. 1939. P-statistics or some generalizations in analysis of variance appropriate to multivariate problems. Sankhya 4:381–96.
- Sengupta, D., and A. K. Nanda. 2011. The proportional reversed hazards regression model. Journal of the Applied Statistical Science 18:461–76.
- Tweney, R. D. 2014. History of analysis of variance. Hoboken, NJ: Wiley StatsRef: Statistics Reference Online, doi:10.1002/9781118445112.stat06304.
- Wasserman, L. 2006. All of nonparametric statistics. New York: Springer.
- Welch, B. L. 1947. The generalization of student’s problem when several different population variances are involved. Biometrika 34 (1/2):28–35. doi:10.2307/2332510.
- Welch, B. L. 1951. On the comparison of several mean values: An alternative approach. Biometrika 38 (3–4):330–36. doi:10.1093/biomet/38.3-4.330.
- Ziegler, S., S. Merker, B. Streit, M. Boner, and D. E. Jacob. 2016. Towards understanding isotope variability in elephant ivory to establish isotopic profiling and source-area determination. Biological Conservation 197:154–63. doi:10.1016/j.biocon.2016.03.008.