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Original Articles

Log-gamma-generated families of distributions

, &
Pages 913-932 | Received 06 Nov 2011, Accepted 07 Nov 2012, Published online: 03 Dec 2012

References

  • B.C. Arnold, N. Balakrishnan, and H.N. Nagaraja, Records, Wiley, New York, 1998.
  • L. Amoroso, Ricerche intorno alla curva dei redditi, Ann. Math. 2 (1925), pp. 123–159.
  • I.J. Good, The population frequencies of the species and the estimation of population parameters, Biometrika 40 (1953), pp. 237–260. doi: 10.1093/biomet/40.3-4.237
  • M. Ljubo, Curves and concentration indices for certain generalized Pareto distributions, Statist. Rev. 15 (1965), pp. 257–260.
  • J.B. McDonald, Some generalized functions for the size distribution of income, Econometrica 52 (1984), pp. 647–663. doi: 10.2307/1913469
  • S. Nadarajah, A generalized normal distribution, J. Appl. Stat. 32 (2005), pp. 685–694. doi: 10.1080/02664760500079464
  • R.D. Gupta and R.C. Gupta, Analyzing skewed data by power-normal model, Test 17 (2008), pp. 197–210. doi: 10.1007/s11749-006-0030-x
  • D. Kundu and R.D. Gupta, Power-normal distribution, Statistics (2011), pp. 1–16. doi: 10.1080/02331888.2011.568620.
  • N. Eugene, C. Lee, and F. Famoye, Beta-normal distribution and its applications, Comm. Statist. Theory Methods 31 (2002), pp. 497–512. doi: 10.1081/STA-120003130
  • M.C. Jones and M.J. Faddy, A skew extension of the t distribution, with applications, J. R. Statist. Soc. Ser. B 65 (2003), pp. 159–174. doi: 10.1111/1467-9868.00378
  • M.C. Jones, Families of distributions arising from distributions of order statistics, Test 13 (2004), pp. 1–43. doi: 10.1007/BF02602999
  • K. Zografos and N. Balakrishnan, On families of beta- and generalized gamma-generated distributions and associated inference, Statist. Methodol. 6 (2009), pp. 344–362. doi: 10.1016/j.stamet.2008.12.003
  • S. Resnick, Extreme Values, Regular Variation, and Point Processes, Springer-Verlag, New York, 1987.
  • U.S. Bureau of Labor Statistics, Median weekly earnings of full-time wage and salary workers, 2009. Available at http://www.bls.gov.
  • E.W. Stacy and G.A. Mihram, Parameter estimation for a generalized gamma distribution, Technometrics 7 (1965), pp. 349–358. doi: 10.1080/00401706.1965.10490268
  • R.L. Houchens, Record value theory and inference, Ph.D. diss., University of California, Riverside, CA, 1984.
  • N. Balakrishnan and P.S. Chan, Maximum likelihood estimation for the log-gamma distribution under type-II censored samples and associated inference, in Recent Advances in Life-Testing and Reliability, N. Balakrishnan, ed., CRC Press, Boca Raton, FL, 1995, pp. 409–437.
  • N. Balakrishnan and P.S. Chan, On the normal record values and associated inference, Statist. Probab. Lett. 39 (1998), pp. 73–80. doi: 10.1016/S0167-7152(98)00048-0
  • L.A. Aroian, A study of R.A. Fisher's z distribution and the related f distribution, Ann. Math. Stat. 12 (1941), pp. 429–448. doi: 10.1214/aoms/1177731681
  • O. Barndorf-Nielsen, J. Kent, and M. Sørensen, Normal variance-mean mixtures and z distributions, Int. Statist. Rev. 50 (1982), pp. 145–159. doi: 10.2307/1402598
  • A.T. McKay, Sampling from batches, J. R. Statist. Soc. 1(Suppl.) (1934), pp. 207–216.

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