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Integral transforms

T3plot

The focus of this research is on goodness-of-fit tests, such as testing of normality, comparison of two distributions etc. using the empirical moment generating function and the empirical characteristic function. <br/>

 

  • What are T3plots? <<link>>

Some publications

  • Ghosh, S., Ruymgaart, F. (1992) Applications of empirical characteristic functions in some multivariate problems. Canadian Journal of Statistics, 20: 429-440.
  • Ghosh, S. (1996) A new graphical tool to detect non-normality. Journal of the Royal Statistical Society B, 58, 691-702.
  • Ghosh, S. (1999) T3-plot. Encyclopedia for Statistical Sciences, Update volume 3, John Wiley, 739-744.
  • Ghosh, S., Beran, J. (2000) Comparing two distributions: The two sample T3 plot. Journal of Computational and Graphical Statistics, 9: 167-179.
  • Ghosh, S. (2003) Estimating the moment generating function of a linear process. Student, 4: 211-218.
  • Ghosh, S., Beran, J. (2006) On estimating the cumulant generating function for linear processes. Annals of the Institute of Statistical Mathematics, 58: 53-71.
  • Beran, J. and Ghosh, S. (2011) The moment generating function. In:International Encyclopedia of Statistical Science, M. Lovric (Ed.), Springer, Berlin/New York.
  • Ghosh, S. (2013) Normality testing for a long-memory sequence using the empirical moment generating function.  Journal of Statistical Planning and Inference, 143: 944–954.