A generalized Ostrowski type inequality for a random variable whose probability density function belongs to L-infinity[a,b].

• Autorzy: Rafiq A. , Mir N. , Zafar F.
• Języki publikacji: EN

Abstrakty

EN

We establish here an inequality of Ostrowski type for a random variable whose probability density function belongs to L-infinity[a, b], in terms of the cumulative distribution function and expectation. The inequality is then applied to generalized beta random variable.

Słowa kluczowe

EN

Ostrowski type inequalities; random variables; mappings

PL

nierówności Ostrowskiego; zmienne losowe; odwzorowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 3
• Strony: 723--732
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Rafiq A.

autor

Mir N.

autor

Zafar F.

• Mathematics Department Comsats Institute of Information Technology, Plot #30, Sector H-8/1, Islamabad 44000, Pakistan,

Bibliografia

• [1] N. S. Barnett, P. Cerone and S. S. Dragomir, Inequalities for Random Variables Over a Finite Interval, Nova Science Publishers, in press, Preprint.
• [2] N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for a random variable whose probability density function belongs to L∞[a, b], Nonlinear Anal. Forum, 5 (2000), 125-135.
• [3] N. S. Barnett and S. S. Dragomir, An inequality of Ostrowski's type for cumulative distribution functions, Kyungpook Math. J., 39 (2) (1999), 303-311.
• [4] S. S. Dragomir, P. Cerone, J. Roumeliotis, A new generalization of Ostrowskis intergral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, Appl. Math. Lett. 13 (2000) 19-25.
• [5] Z. A. Karian, E. J. Dudewicz, Fitting Statistical Distributions, CRC Press, (2000).
• [6] A. Ostrowski, Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert, Comment. Math. Hel, 10 (1938), 226-227.