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Research article

Testing the mean of skewed distributions applying the maximum likelihood estimator

ORCID Icon & | (Reviewing editor)
Article: 1588191 | Received 19 Feb 2018, Accepted 23 Feb 2019, Published online: 06 May 2019

References

  • Student. (1908). The probable error of a mean. Biometrika, 6, 1–13.
  • Chen, L. (1995). Testing the mean of skewed distributions. Journal of the American Statistical Association, 90, 767–772.
  • Cornish, E. A., & Fisher, R. A. (1937). Moments and cumulants in the specification of distributions. Review of the International Statistics Institute, 5, 307–327.
  • Cressie, N. A. C., & Whitford, H. J. (1986). How to use the two sample t test? Biometrical Journal, 28, 131–148.
  • Diaconis, P., & Efron, B. (1983). Computer-intensive methods in statistics. Scientific American, 248, 116–130.
  • Dolkart, R. E., Halpern, B., & Perlman, J. (1971). Comparison of antibody responses in normal and alloxan diabetic mice. Diabetes, 20, 162–167.
  • Hall, P. (1983). Inverting an edgeworth expansion. The Annals of Statistics, 11, 569–576.
  • Johnson, N. J. (1978). Modified t tests and confidence intervals for asymmetrical populations. Journal of the American Statistical Association, 73, 536–544.
  • Mood, A. M., Graybill, F. A., & Boes, D. C. (1974). Introduction to the theory of statistics. New York, NY: John Wiley.
  • Neyman, J., & Pearson, E. S. (1928). On the use and interpretation of certain test criteria for purposes of statistical inference, part I. Biometrika, 20A, 175–240.
  • Pearson, E. S. (1928). The distribution of frequency constants in small samples form symmetrical populations. Biometrika, 20A, 356–360.
  • Sutton, C. D. (1993). Computer-intensive methods for tests about the mean of an asymmetrical distribution. Journal of the American Statistical Association, 88, 802–810.
  • Welch, B. L. (1947). The generalization of “Student’s” problem when several different population variances are involved. Biometrika, 34, 28–35.