ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

  • Cerone, P. (School of Communications and Informatics, Victoria University of Technology) ;
  • Dragomir, S.S. (School of Communications and Informatics, Victoria University of Technology)
  • Published : 2001.05.01

Abstract

A variety bounds are obtained for the variance and expectation of a continuous random variable whose p.d.f. is defined over a finite interval. Previous results are shown to be particular cases of the current more general development.

Keywords

References

  1. Math. Inequal. Appl. v.2 no.3 On new estimation of the remainder in generalized Taylor's formula M.Mati$\'{c}$;J.E.Pe$\v{c}$ari$\'{c}$;N.Ujevi$\'{c}$
  2. J. Ineq. Pure and Appl. Math Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval N.S.Barnett;P.Cerone;S.S.Dragomir;J.Roumeliotis
  3. Some elementary inequalities for the expectation and variance of a random variable whose pdf is defined on a finite interval N.S.Barnett;S.S.Dragomir
  4. J. Ineq. Pure and Appl. Math Some inequalities for the expectation and variance of a random variable whose pdf is n-time differentiable N.S.Barnett;P.Cerone;S.S.Dragomir;J.Roumeliotis
  5. Classical and New Inequalities in Analysis D.S.Mitinovi$\'{c}$;.E.Pe$\v{c}$ari$\'{c}$;A.M.Fink
  6. Demonstratio Mathematica, v.ⅩⅩⅩⅡ no.4 Some Ostrowski type inequalities for n-time differentiable mappings and applications P.Cerone;S.S.Dragomir;J.Romeliotis