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Original Articles

Linear estimation for the extended exponential power distribution

, &
Pages 1392-1403 | Received 29 Nov 2014, Accepted 18 Jun 2015, Published online: 13 Jul 2015

References

  • Subbotin MT. On the law of frequency of error. Matematicheskii Sbornik. 1923;31(2):296–301.
  • Johnson NL, Kotz S, Balakrishnan N. Continuous univariate distributions, Vol. 1. 2nd ed. New York: Wiley; 1994.
  • Mineo AM. On the estimation of the structure parameter of a normal distribution of order p. Statistica. 2003;63(1):109–122.
  • Nadarajah S. A generalized normal distribution. J Appl Stat. 2005;32(7):685–694. doi: 10.1080/02664760500079464
  • Beaulieu NC, Guo Q. Novel estimator for the location parameter of the generalized Gaussian distribution. Commun Lett, IEEE. 2012;16(12):2064–2067. doi: 10.1109/LCOMM.2012.111412.121948
  • Choy ST, Walker SG. The extended exponential power distribution and Bayesian robustness. Stat Probab Lett. 2003;65(3):227–232. doi: 10.1016/j.spl.2003.01.001
  • Box GEP, Tiao GC. Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley; 1973.
  • Tiao GC, Lund DR. The use of OLUMV estimators in inference robustness studies of the location parameter of a class of symmetric distributions. J Amer Statist Assoc. 1970;65(329):370–386.
  • Kleiber C, Kotz S. Statistical size distributions in economics and actuarial sciences. Hoboken, NJ: Wiley; 2003.
  • Mineo AM, Ruggieri M. A software tool for the exponential power distribution: The normalp package. J Statist Softw. 2005;12(4):1–24.
  • Campos LMBC, Marques JMG. On safety metrics related to aircraft separation. J Navig. 2002;55(1):39–63. doi: 10.1017/S0373463301001667
  • Fagiolo G, Napoletano M, Roventini A. Are output growth-rate distributions fat-tailed? Some evidence from OECD countries. J Appl Econ. 2008;23(5):639–669. doi: 10.1002/jae.1003
  • Do MN, Vetterli M. Wavelet-based texture retrieval using generalized Gaussian density and Kullback–Leibler distance. IEEE Trans Image Process. 2002;11(2):146–158. doi: 10.1109/83.982822
  • Govindarajulu Z. Relationships among moments of order statistics in samples from two related populations. Technometrics. 1963;5(4):514–518. doi: 10.1080/00401706.1963.10490130
  • Gupta SS. Order statistics from the gamma distribution. Technometrics. 1960;2(2):243–262. doi: 10.1080/00401706.1960.10489897
  • Lloyd EH. Least-squares estimation of location and scale parameters using order statistics. Biometrika. 1952;39(1–2):88–95. doi: 10.1093/biomet/39.1-2.88
  • Balakrishnan N, Cohen AC. Order statistics and inference: estimation methods. Boston, MA: Academic Press; 1991.
  • Chasalow S. combinat: combinatorics utilities. 2012; R package version 0.0-8; Available from: http://CRAN.R-project.org/package=combinat.
  • R CoreTeam. R: A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing; 2012. ISBN 3-900051-07-0; Available from: http://www.R-project.org/.
  • Evert S, Baroni M. zipfR: Word frequency distributions in R. Proceedings of the 45th Annual Meeting of the Association for Computational Linguistics, Posters and Demonstrations Sessions. Prague, Czech Republic; 2007. p. 29–32; (R package version 0.6-6 of 2012-04-03).
  • Sharifi K, Leon-Garcia A. Estimation of shape parameter for generalized Gaussian distributions in subband decompositions of video. IEEE Trans Circuits Syst Video Technol. 1995;5(1):52–56. doi: 10.1109/76.350779
  • Rublik F. A quantile goodness-of-fit test for Cauchy distribution, based on extreme order statistics. Appl Math. 2001;46(5):339–351. doi: 10.1023/A:1013704326683
  • Balakrishnan N, Chen WWS. CRC handbook of tables for order statistics from inverse Gaussian distributions with applications. Boca Raton, FL: CRC Press; 1997.

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