Approximating negative and harmonic mean moments for the Poisson distribution

@inproceedings{Jones2003ApproximatingNA,
  title={Approximating negative and harmonic mean moments for the Poisson distribution},
  author={C. Matthew Jones},
  year={2003}
}
Asymptotic expansions and the related approximations are constructed for the negative moments of the Poisson distribution and the moments of the harmonic mean of independent and identically distributed (i.i.d.) Poisson random variable (r.v.). The accuracy of the approximations are assessed and applications to multi-centre clinical trials are outlined.