The MLE and the UMVUE of the Right-Tail Probability in a Levy Distribution

  • Published : 2001.10.30

Abstract

MLE and UMVUE of the right-tail probability in a Levy distribution will be considered, and hence the UMVUE is more efficient in a sense of simulated MSE than the MLE of the right-tail probability.

Keywords

References

  1. Introduction to Probability and Mathematical Stistics Bain L. J.;Engelhardt M.
  2. Tables of Integrals, Series, and Products Gradshteyn, I.S.;Ryzhik, I.M.
  3. Journal of statistical physics v.73 A relationship between asymmetric Levy-stable distributions and the dielectric susceptibility Jurlewicz, A.;Weron, K.
  4. The Mathematics and Physics of disordered media On the wedding of certain dynamical processes in disordered complex materials to the theory of stable(Levy) distribution functions Montroll, E.W.;Shlesinger, M.F.
  5. Communications in statistics, Theory and methods v.27 no.7 A Note on the Fit the Levy Distribution O'Reilly, F.J.;Rueda, R.
  6. An Introduction to Probability Theory and Mathematical Statistics Rohatgi, V.K.