On some inequalities for the expectation and variance

被引:0
|
作者
Cerone, P. [1 ]
Dragomir, S.S. [1 ]
机构
[1] School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, VIC 8001, Australia
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A variety of 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. © 2001 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码:357 / 380
相关论文
共 50 条
  • [1] On some inequalities for the expectation and variance
    Cerone, P.
    Dragomir, S.S.
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (02): : 357 - 380
  • [2] On some inequalities for the expectation and variance
    P. Cerone
    S. S. Dragomir
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (2): : 357 - 380
  • [3] A survey on some inequalities for expectation and variance
    Agarwal, RP
    Barnett, NS
    Cerone, P
    Dragomir, SS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) : 429 - 480
  • [4] SOME INTEGRAL INEQUALITIES INVOLVING THE EXPECTATION AND VARIANCE VIA DARBOUX'S EXPANSION
    Qi, Feng
    Ul-Haq, Wasim
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (07): : 545 - 552
  • [5] Some inequalities for probability, expectation, and variance of random variables defined over a finite interval
    Barnett, NS
    Dragomir, SS
    Agarwal, RP
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (10-11) : 1319 - 1357
  • [6] Some elementary inequalities for the expectation and variance of a random variable whose pdf is defined on a finite interval
    Barnett, NS
    Dragomir, SS
    STOCHASTIC ANALYSIS AND APPLICATIONS, VOL 2, 2002, : 31 - 38
  • [7] Further inequalities for the expectation and variance of a random variable defined on a finite interval
    Barnett, NS
    Cerone, P
    Dragomir, SS
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (01): : 23 - 36
  • [8] THE EXPECTATION OF MEAN SQUARES IN ANALYSIS OF VARIANCE - SOME CONJECTURES
    BOYD, KT
    STATISTICIAN, 1980, 29 (02): : 135 - 142
  • [9] Some bounds of the distribution of outstanding claims reserve based on the expectation and variance
    School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
    不详
    Xitong Gongcheng Lilum yu Shijian, 2008, 1 (32-39):
  • [10] PROBABILITY AND EXPECTATION INEQUALITIES
    CAMBANIS, S
    SIMONS, G
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1982, 59 (01): : 1 - 25