Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지

Moments of Probability Distributions Derived Using Differential Operators

  • Kwan-Joong Kang (Professor, Department of Mathematics, Dong-A University, Pusan 604-714, Korea)
  • Published : 1996.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In 1992. Boullion obtained the method of the calculus of the moments of discrete probability distributions using differential operator, and he published the method of calculus of the moments. The purpose of this paper is to introduce an idea that this method can be applied to calculate the moments of continuous probability distributions.

Keywords

References

  1. The American Statistician v.46 Moments of discrete probability distributions derived using a differential operator Boulolion, T.L.;Seaman, J.W., JR.;Young, D.M.
  2. The American Statistician v.36 Derivation of moment formulas by operator valued probability generating functions Chan, B.
  3. Communications in Statistics-Theory and Methods v.13 Probabilities and moments of generalized discrete distributions using finite difference operators Charalambides, C.A.
  4. SIAM Journal of Applied Mathematics v.44 Moment of certain series distributions and their applications Janardan, K.G.
  5. The American Statistician v.25 Moments of discrete probability distributions derived using finite difference operators Link, R.F.
  6. The American Statistician v.36 On the moments of multivariate discrete distributions using finite difference operators Rao, B.R.;Janardan, K.G.