References
- Antle, C. E., and L. J. Bain. 1969. A property of maximum likelihood estimators of location and scale parameters. SIAM Review 11 (2):251–3. doi: https://doi.org/10.1137/1011039.
- Ascher, S. 1990. A survey of tests for exponentiality. Communications in Statistics - Theory and Methods 19 (5):1811–25. doi: https://doi.org/10.1080/03610929008830292.
- Balakrishnan, N., and A. P. Basu. 1995. The Exponential distribution. Amsterdam: Gordon and Breach.
- Balakrishnan, N., E. Chimitova, and M. Vedernikova. 2015. An empirical analysis of some nonparametric goodness-of-fit tests for censored data. Communications in Statistics - Simulation and Computation 44 (4):1101–15. doi: https://doi.org/10.1080/03610918.2013.796982.
- Bertholon, H., N. Bousquet, and G. Celeux. 2006. An alternative competing risk model to the Weibull distribution for modeling aging in lifetime data analysis. Lifetime Data Analysis 12:481–504. doi: https://doi.org/10.1007/s10985-006-9019-8.
- Best, D. J., J. C. W. Rayner, and O. Thas. 2007. Comparison of five tests of fit for the Extreme Value distribution. Journal of Statistical Theory and Practice 1 (1):89–99. doi: https://doi.org/10.1080/15598608.2007.10411826.
- Blom, G. 1958. Statistical estimates and transformed beta-variables. New York: Wiley.
- Cabaña, A., and A. J. Quiroz. 2005. Using the empirical moment generating function in testing the Weibull and type 1 Extreme Value distributions. Test 14 (2):417–31. doi: https://doi.org/10.1007/BF02595411.
- Chandra, M., N. D. Singpurwalla, and M. A. Stephens. 1981. Kolmogorov statistics for tests of fit for the Extreme Value and Weibull distributions. Journal of the American Statistical Association 76 (375):729–31. doi: https://doi.org/10.2307/2287539.
- Chen, Z. 2000. A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function. Statistics & Probability Letters 49:155–61. doi: https://doi.org/10.1016/S0167-7152(00)00044-4.
- Chen, C., R. C. Elliott, and W. A. Krzymien. 2018. Empirical distribution of nearest-transmitter distance in wireless networks modeled by Matern hard core point processes. IEEE Transactions on Vehicular Technology 67 (2):1740–9. doi: https://doi.org/10.1109/TVT.2017.2760321.
- Coles, S. G. 1989. On Goodness-of-Fit tests for the two-parameter Weibull distribution derived from the stabilized probability plot. Biometrika 76 (3):593–8. doi: https://doi.org/10.1093/biomet/76.3.593.
- D’Agostino. R. B. 1971. Linear estimation of the Weibull parameters. Technometrics 13:171–82.
- D’Agostino, R. B., and M. A. Stephens. 1986. Goodness-of-Fit techniques. New York: Marcel Dekker.
- Datsiou, K. C., and M. Overend. 2018. Weibull parameter estimation and Goodness-of-Fit for glass strength data. Structural Safety 73:29–41. doi: https://doi.org/10.1016/j.strusafe.2018.02.002.
- Dhillon, B. S. 1981. Life distributions. IEEE Transactions on Reliability 30 (5):457–60. doi: https://doi.org/10.1109/TR.1981.5221168.
- Ebrahimi, N., and M. Habibullah. 1992. Testing exponentiality based on Kullback-Leibler information. Journal of the Royal Statistical Society, B 54:739–48. doi: https://doi.org/10.1111/j.2517-6161.1992.tb01447.x.
- Evans, J. W., R. A. Johnson, and D. W. Green. 1989. Two and three parameter Weibull Goodness-of-Fit tests, Research paper FPL-RP-493, U.S. Madison, WI: Forest Products Laboratory.
- EWGoF package for R. 2017. Goodness-of-Fit Tests for the Exponential and two-parameter Weibull distributions. https://cran.r-project.org/web/packages/EWGoF/
- Henze, N. 1992. A new flexible class of omnibus tests for exponentiality. Communications in Statistics - Theory and Methods 22 (1):115–33. doi: https://doi.org/10.1080/03610929308831009.
- Henze, N., and S. G. Meintanis. 2005. Recent and classical tests for exponentiality: a partial review with comparisons. Metrika 61 (1):29–45. doi: https://doi.org/10.1007/s001840400322.
- Hjorth, U. 1980. A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rates. Technometrics 22 (1):99–107. doi: https://doi.org/10.2307/1268388.
- Jung, C., and D. Schindler. 2017. Global comparison of Goodness-of-Fit of wind speed distributions. Energy Conversion and Management 133:216–34. doi: https://doi.org/10.1016/j.enconman.2016.12.006.
- Kim, N. 2017. Goodness-of-Fit tests for randomly censored Weibull distributions with estimated parameters. Communications for Statistical Applications and Methods 24 (5):519–31. doi: https://doi.org/10.5351/CSAM.2017.24.5.519.
- Kimber, A. C. 1985. Tests for the Exponential, Weibull and Gumbel distributions based on the stabilized probability plot. Biometrika 72 (3):661–3. doi: https://doi.org/10.2307/2336739.
- Kizilers, A., M. Kreer, and A. W. Thomas. 2016. Goodness-of-Fit testing for left-truncated two-parameter Weibull distributions with known truncation point. Austrian Journal of Statistics 45 (3):15–42. doi: https://doi.org/10.17713/ajs.v45i3.106.
- Krit, M. 2014. Goodness-of-Fit tests for the Weibull distribution based on the Laplace transform. Journal de la Société Française de Statistique 155 (3):135–51.
- Krit, M., O. Gaudoin, M. Xie, and E. Remy. 2016. Simplified likelihood based Goodness-of-Fit tests for the Weibull distribution. Communications in Statistics - Simulation and Computation 45 (3):920–51. doi: https://doi.org/10.1080/03610918.2013.879889.
- Lai, C. D. 2013. Generalized Weibull distributions. Berlin: Springer Briefs in Statistics.
- Lai, C. D., M. Xie, and D. N. P. Murthy. 2003. A modified Weibull distribution. IEEE Transactions on Reliability 52 (1):33–7. doi: https://doi.org/10.1109/TR.2002.805788.
- Liao, M., and T. Shimokawa. 1999. A new Goodness-of-Fit test for type-I Extreme-Value and 2-parameter Weibull distributions with estimated parameters. Journal of Statistical Computation and Simulation 64 (1):23–48. doi: https://doi.org/10.1080/00949659908811965.
- Lockhart, R. A., F. O'Reilly, and M. A. Stephens. 1986. Tests for the Extreme Value and Weibull distributions based on normalized spacings. Naval Research Logistics Quarterly 33 (3):413–21. doi: https://doi.org/10.1002/nav.3800330307.
- Mann, N. R., E. M. Scheuer, and K. W. Fertig. 1973. A new Goodness-of-Fit test for the two-parameter Weibull or Extreme Value distribution. Communications in Statistics - Simulation and Computation 2 (5):383–400. doi: https://doi.org/10.1080/03610917308548273.
- Marshall, A. W., and I. Olkin. 1997. A new method for adding a parameter to a family of distributions with application to the Exponential and Weibull families. Biometrika 84 (3):641–52. doi: https://doi.org/10.1093/biomet/84.3.641.
- Michael, J. R. 1983. The stabilized probability plot. Biometrika 70 (1):11–7. doi: https://doi.org/10.2307/2335939.
- Mudholkar, G. S., and D. K. Srivastava. 1993. Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Transactions on Reliability 42 (2):299–302. doi: https://doi.org/10.1109/24.229504.
- Murthy, D. N. P., M. Xie, and R. Jiang. 2004. Weibull models. New York, NY: Wiley.
- Nikulin, M., and F. Haghighi. 2006. A chi-squared test for power generalized Weibull family for the head-and-neck cancer censored data. Journal of Mathematical Sciences 133 (3):1333–41. doi: https://doi.org/10.1007/s10958-006-0043-8.
- Odhiambo, C., J. Odhiambo, and B. Omolo. 2017. A smooth test of Goodness-of-Fit for the Weibull distribution: an application to an HIV retention data. International Journal of Statistics in Medical Research 6 (2):68–78. doi: https://doi.org/10.6000/1929-6029.2017.06.02.2.
- Öztürk, A., and S. Korukogu. 1988. A new test for the Extreme Value distribution. Communications in Statistics - Simulation and Computation 17 (4):1375–93. doi: https://doi.org/10.1080/03610918808812730.
- Pérez-Rodríguez, P., H. Vaquera-Huerta, and J. A. Villaseñor-Alva. 2009. A Goodness-of-Fit test for the Gumbel distribution based on Kullback-Leibler information. Communications in Statistics - Theory and Methods 38 (6):842–55. doi: https://doi.org/10.1080/03610920802316658.
- Pyke, R. 1965. Spacings. Journal of the Royal Statistical Society, Series B 27:395–449. doi: https://doi.org/10.1111/j.2517-6161.1965.tb00602.x.
- Rayner, J. C. W., O. Thas, and D. J. Best. 2009. Smooth tests of Goodness-of-Fit, using R. 2nd ed, Singapore: Wiley Series in Probability and Statistics.
- Rinne, H. 2009. The Weibull distribution - A handbook. Boca Raton, FL: CRC-Chapman & Hall.
- Shapiro, S. S., and C. W. Brain. 1987. W-test for the Weibull distribution. Communications in Statistics - Simulation and Computation 16:209–19.
- Smith, R. M., and L. J. Bain. 1976. Correlation type Goodness-of-Fit statistics with censored sampling. Communications in Statistics 5 (2):119–32. doi: https://doi.org/10.1080/03610927608827337.
- Spurrier, J. D. 1984. An overview of tests for exponentiality. Communications in Statistics - Theory and Methods 13 (13):1635–54. doi: https://doi.org/10.1080/03610928408828782.
- Stacy, E. W. 1962. A generalization of the Gamma distribution. The Annals of Mathematical Statistics 33 (3):1187–92. doi: https://doi.org/10.1214/aoms/1177704481.
- Tiku, M. L., and M. Singh. 1981. Testing the two-parameter Weibull distribution. Communications in Statistics 10 (9):907–18. doi: https://doi.org/10.1080/03610928108828082.
- Wang, F. K. 2000. A new model with bathtub-shaped failure rate using an additive Burr XII distribution. Reliability Engineering and System Safety 70 (3):305–12. doi: https://doi.org/10.1016/S0951-8320(00)00066-1.
- Xie, M., and C. D. Lai. 1996. Reliability analysis using additive Weibull model with bathtub-shaped failure rate function. Reliability, Engineering and System Safety 52 (1):87–93. doi: https://doi.org/10.1016/0951-8320(95)00149-2.
- Xin, Z., G. Liao, Z. Yang, Y. Zhang, and H. Dang. 2017. Analysis of distribution using graphical Goodness-of-Fit for airborne SAR sea-clutter data. IEEE Transactions on Geoscience and Remote Sensing 55 (10):5719–28. doi: https://doi.org/10.1109/TGRS.2017.2712700.