A small sample study of the moments and distribution of the log likelihood ratio statistic

@article{Lyons1989ASS,
  title={A small sample study of the moments and distribution of the log likelihood ratio statistic},
  author={N. I. Lyons and K. Hutcheson and M. Sugg},
  journal={Metrika},
  year={1989},
  volume={36},
  pages={195-207}
}
A study of the first four moments of the log likelihood ratio statistic suggests that a transformed Beta ranks as a serious competitor to the Chi-square as an approximating distribution for certain multinomials. An error analysis of the series approximations of these moments indicates that the equiprobable case is not of sufficient generality for the study of multinomial type statistics. 

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