1,971
Views
5
CrossRef citations to date
0
Altmetric
Article

Goodness-of-fit testing based on Gini Index of spacings for progressively Type-II censored data

ORCID Icon
Pages 3223-3232 | Received 31 Jul 2020, Accepted 21 Apr 2021, Published online: 16 Jun 2021

References

  • Balakrishnan, N. 2007. Progressive censoring methodology: An appraisal (with discussions). Test 16 (2):211–96. doi:10.1007/s11749-007-0061-y.
  • Balakrishnan, N., and R. Aggrawala. 2000. Progressive censoring: Theory, methods, and applications. Boston, MA: Birkhäuser.
  • Balakrishnan, N., and E. Cramer. 2014. The art of progressive censoring-applications on reliability and quality. New York: Birkhäuser.
  • Balakrishnan, N., A. Habibi Rad, and N. R. Arghami. 2007. Testing exponentiality based on Kullback–Leibler information with progressively Type-II censored data. IEEE Transactions on Reliability 56 (2):301–7. doi:10.1109/TR.2007.895308.
  • Balakrishnan, N., and C. T. Lin. 2003. On the distribution of a test for exponentiality based on progressively Type-II right censored spacings. Journal of Statistical Computation and Simulation 73 (4):277–83. doi:10.1080/0094965021000033530.
  • Balakrishnan, N., H. K. T. Ng, and N. Kannan. 2002. A test of exponentiality based on spacings for progressively Type-II censored data. In Goodness-of-fit tests and model validity, eds. C. Huber-Carol, N. Balakrishnan, M.S. Nikulin and M. Mesbah, 89–111. Boston, MA: Birkhäuser.
  • Balakrishnan, N., H. K. T. Ng, and N. Kannan. 2004. Goodness-of-fit tests based on spacings for progressively Type-II censored data from a general location-scale distribution. IEEE Transactions on Reliability 53 (3):349–56. doi:10.1109/TR.2004.833317.
  • Baratpour, S., and A. Habibi Rad. 2016. Exponentiality test based on progressive Type II censoring via cumulative entropy. Communications in Statistics – Simulation and Computation 45 (7):2625–37. doi:10.1080/03610918.2014.917673.
  • Cohen, A. C. 1963. Progressively censored samples in life testing. Technometrics 5 (3):327–9. doi:10.1080/00401706.1963.10490102.
  • D’Agostino, R. B., and Stephens, M. A. (Eds.) 1986. Goodness-of-fit techniques. New York: Marcel Dekker.
  • Doring, M., and E. Cramer. 2019. On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring. Journal of Statistical Computation and Simulation 89 (16):2997–3034. doi:10.1080/00949655.2019.1648468.
  • Greenwood, M. 1946. The statistical study of infectious diseases. Journal of the Royal Statistical Society 109 (2):85–110. doi:10.2307/2981176.
  • Hartley, H. O., and R. C. Pfaffenberger. 1972. Quadratic forms in order statistics used as goodness-of-fit criteria. Biometrika 59 (3):605–11. doi:10.1093/biomet/59.3.605.
  • Herd, R. G. 1956. Estimation of parameters of a population from a multi-censored sample [PhD thesis]. Ames, IA: Iowa State College.
  • Huber-Carol, C., Balakrishnan, N., Nikulin, M.S. and Mesbah, M. (Eds.). 2002. Goodness-of-fit Tests and Model Validity. Boston, MA: Birkhäuser.
  • Jammalamadaka, S. R., and M. N. Goria. 2004. A test of goodness-of-fit based on Gini’s index of spacings. Statistics & Probability Letters 68 (2):177–87. doi:10.1016/j.spl.2004.02.009.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1994. Continuous univariate distributions. Vol. 1, 2nd ed. New York: John Wiley & Sons.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1995. Continuous Univariate Distributions. Vol. 2, 2nd ed. New York: John Wiley & Sons.
  • Kale, B. K. 1969. Unified derivation of tests of goodness of fit based on spacings. Sankhya, Series A 31 (1):43–8.
  • Kohansal, A., and S. Rezakhah. 2013. Testing exponentiality based on Reny entropy with progressively Type-II censored data. ArXiv: 1303.5536v1.
  • Nelson, W. 1982. Applied life data analysis. New York: John Wiley & Sons.
  • Nikulin, M. S., and E. V. Chimitova. 2017. Chi-squared goodness-of-fit tests for censored data. Hoboken, NJ: John Wiley & Sons.
  • Noughabi, H. A. 2017a. Gini index based goodness-of-fit test for the logistic distribution. Communications in Statistics-Theory and Methods 46 (14):7114–24.
  • Noughabi, H. A. 2017b. Testing exponentiality based on Kullback–Leibler information for progressively Type II censored data. Communications in Statistics - Simulation and Computation 46 (10):7624–38. doi:10.1080/03610918.2016.1248569.
  • Noughabi, H. A., N. R. Arghami, and G. R. Mohtashami Borzadaran. 2014. A test of goodness of fit based on Gini index. Istatistik 7 (1):23–32.
  • Pakyari, R., and N. Balakrishnan. 2012. A general purpose approximate goodness-of-fit test for progressively Type-II censored data. IEEE Transactions on Reliability 61 (1):238–42. doi:10.1109/TR.2012.2182811.
  • Pakyari, R., and N. Balakrishnan. 2013. Goodness-of-fit tests for progressively Type-II censored data from location-scale distributions. Journal of Statistical Computation and Simulation 83 (1):167–78. doi:10.1080/00949655.2011.625424.
  • Park, S., and R. Pakyari. 2015. Cumulative residual Kullbak–Leibler information with the progressively Type-II censored data. Statistics & Probability Letters 106:287–94. doi:10.1016/j.spl.2015.07.029.
  • Pearson, K. 1900. On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine 50 (302):157–75. doi:10.1080/14786440009463897.
  • Pyke, R. 1965. Spacings (with discussions). Journal of the Royal Statistical Society: Series B (Methodological) 27 (3):395–449. doi:10.1111/j.2517-6161.1965.tb00602.x.
  • Rad, A. H., F. Yousefzadeh, and N. Balakrishnan. 2011. Goodness-of-fit test based on Kullback-Leibler infromation for progressively Type-II censored data. IEEE Transactions on Reliability 60 (3):570–9. doi:10.1109/TR.2011.2162470.
  • Royston, J. P. 1982. Expected normal order statistics (exact and approximate). Journal of the Royal Statistical Society, Series C 31:161–5.
  • Viveros, R., and N. Balakrishnan. 1994. Interval estimation of parameters of life from progressively censored data. Technometrics 36 (1):84–91. doi:10.1080/00401706.1994.10485403.
  • Wang, B. 2008. Goodness-of-fit test for the exponential distribution based on progressively Type-II censored sample. Journal of Statistical Computation and Simulation 78 (2):125–32. doi:10.1080/10629360600944266.