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Original Articles

Nonparametric two-sample estimation of location and scale parameters from empirical characteristic functions

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Pages 3225-3242 | Received 23 Jun 2015, Accepted 23 Feb 2016, Published online: 15 Mar 2016

References

  • Parzen E. Nonparametric statistical data modeling. J Amer Statist Assoc. 1979;74:105–121. doi: 10.1080/01621459.1979.10481621
  • Hsieh F. The empirical process approach for semiparametric two-sample models with heterogeneous treatment effect. J R Stat Soc B. 1995;57:735–748.
  • Potgieter CJ, Lombard F. Nonparametric estimation of location and scale parameters. Comput Statist Data Anal. 2012;56:4327–4337. doi: 10.1016/j.csda.2012.03.021
  • Hall P, Lombard F, Potgieter CJ. A new approach to function-based hypothesis testing in location-scale families. Technometrics. 2013;55:215-–233. doi: 10.1080/00401706.2013.775902
  • Koutrouvelis IA, Kellermeier L. A goodness-of-fit test based on the empirical characteristic function when parameters must be estimated. J R Stat Soc B. 1981;43:173–176.
  • Feller, Willliam. An introduction to probability theory and its applications. Vol. 2, 2nd edn. New York: John Wiley & Sons; 1971.
  • van der Vaart AW. Asymptotic statistics. Cambridge: Cambridge University Press; 2000.
  • Genton MA, editor. Skew-elliptical distributions and their applications: a journey beyond normality. Boca Raton (FL): Chapman & Hall/CRC; 2004.
  • Azzalini A. The skew-normal distribution and related multivariate families. Scand J Statist. 2005;32:159–188. doi: 10.1111/j.1467-9469.2005.00426.x
  • Arellano-Valle RB, Azzalini A. The centred parameterization and related quantities of the skew-t distribution. J Multivariate Anal. 2013;113:73–90. doi: 10.1016/j.jmva.2011.05.016
  • Efron B, Tibshirani RJ. An introduction to the bootstrap. New York: CRC Press; 1994.
  • Feuerverger A, McDunnough P. On the efficiency of empirical characteristic function procedures. J R Stat Soc B. 1981;43:20–27.
  • Claeskens G, Hjort NL. Model selection and model averaging. Cambridge: Cambridge University Press; 2008.

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