Comparisons of several Pareto distributions based on record values

References

• Asgharzadeh, A., M. Abdi, and C. Kus. 2011. Interval estimation for the two-parameter Pareto distribution based on record values. Selcuk J. Appl. Math. Spec. Issue 149–161.
   Google Scholar
• Asgharzadeh, A., M. Abdi, and S. Nadarajah. 2016. Interval estimation for Gumbel distribution using climate records. Bull. Malaysian Math. Sci. Soc. 39 (1):257–270.
   Web of Science ®Google Scholar
• Abdollahnezhad, K., F. Yaghmaiei, and S. Mahmoudi. 2015. Testing equality of the scale parameters of Pareto distributions: Two computational approaches. Adv. Appl. Stat. 45 (1):45–57.
   Web of Science ®Google Scholar
• Ahsanullah, M. 1980. Linear prediction of record values for the two parameter exponential distribution. Ann. Inst. Stat. Math. 32 (1):363–368.
   Web of Science ®Google Scholar
• Ahsanullah, M. 1991. Record values of the Lomax distribution. Stat. Neerlandica 45 (1):21–29.
   Google Scholar
• Ahsanullah, M. 1978. Record values and the exponential distribution. Ann. Inst. Stat. Math. 30 (1):429–433.
   Web of Science ®Google Scholar
• Ahsanullah, M. 2004. Record Values: Theory and Applications. Maryland: University Press of America.
   Google Scholar
• Ahsanullah, M. B., V. Nevzorov, and M. Shakil. 2013. An Introduction to Order Statistics. Paris: Atlantis Press.
   Google Scholar
• Arnold, B. C., N. Balakrishnan, and H. N. Nagaraja. 1998. Records. New York: John Wiley.
   Google Scholar
• Ahmadi, J., and N. R. Arghami. 2003. Comparing the Fisher information in record values and lid observations. Statistics 37:435–441.
   Web of Science ®Google Scholar
• Ahmadi, J., and N. R. Arghami. 2003. Nonparametric confidence and tolerance intervals based on record data. Stat. Pap. 44:455–468.
   Web of Science ®Google Scholar
• Balakrishnan, N., and M. Ahsanullah, P. S. Chan. 1992. Relations for single and product moments of record values from Gumbel distribution. Stat. Probab. Lett. 15 (3):223–227.
   Web of Science ®Google Scholar
• Balakrishnan, N., and M. Ahsanullah. 1994. Recurrence relations for single and product moments of record values from generalized Pareto distribution. Commun. Stat. Theory Methods 23 (10):2841–2852.
   Web of Science ®Google Scholar
• Balakrishnan, N., and P. S. Chan. 1998. On the normal record values and associated inference. Stat. Probab. Lett. 39 (1):73–80.
   Web of Science ®Google Scholar
• Balakrishnan, N., P. S. Chan, and M. Ahsanullah. 1993. Recurrence relations for moments of record values from generalized extreme value distribution. Commun. Stat. Theory Methods 22 (5):1471–1482.
   Web of Science ®Google Scholar
• Chandler, K. N. 1952. The distribution and frequency of record values. J. Royal Stat. Soc. Ser. B 14 (2):220–228.
   Google Scholar
• Efron, B. 1979. Bootstrap methods: Another look at the jackknife. Ann. Stat. 7 (1):1–26.
   Web of Science ®Google Scholar
• Jafari, A. A., and H. Zakerzadeh. 2015. Inference on the parameters of the Weibull distribution using records, arXiv preprint arXiv:1501.02201.
   Google Scholar
• Johnson, N. L., S. Kotz, and N. Balakrishnan. 1994. Continuous Univariate Distributions. New York: John Wiley.
   Google Scholar
• Newman, M. E. 2005. Power laws, Pareto distributions and Zipf’s law. Contemp. Phys. 46 (5):323–351.
   Web of Science ®Google Scholar
• Parsi, S., M. Ganjali, and N. S. Farsipour. 2009. Simultaneous confidence intervals for the parameters of Pareto distribution under progressive censoring. Commun. Stat. Theory Methods 39 (1):94–106.
   Web of Science ®Google Scholar
• Tsui, K. W., and S. Weerahandi. 1989. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. J. Am. Stat. Assoc. 84:602–607.
   Web of Science ®Google Scholar
• Vannman, K. 1976. Estimators based on order statistics from a Pareto distribution. J. Am. Stat. Assoc. 71:704–708.
   Web of Science ®Google Scholar
• Wang, B. X., and Z. S. Ye. 2015. Inference on the Weibull distribution based on record values. Comput. Stat. Data Anal. 83:26–36.
   Web of Science ®Google Scholar
• Wang, L., Y. Shi, and W. Yan. 2016. Inference for Gompertz distribution under records. J. Syst. Eng. Electron. 27 (1):271–278.
   Web of Science ®Google Scholar
• Weerahandi, S. 1993. Generalized confidence intervals. J. Am. Stat. Assoc. 88:899–905.
   Web of Science ®Google Scholar