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Faranak Goodarzi

Faranak Goodarzi

Assistant Professor

عضو هیئت علمی تمام وقت

College: Faculty of Mathematics

Department: Statistics and Applications

Degree: Ph.D

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Faranak Goodarzi

Assistant Professor Faranak Goodarzi

عضو هیئت علمی تمام وقت
College: Faculty of Mathematics - Department: Statistics and Applications Degree: Ph.D |

On lower bounds for the variance of functions of random variables with weighted distributions

Authorsمحمد امینی,غلامرضا محتشمی برزادران
Conference Titleدهمین سمینار احتمال و فرایند تصادفی
Holding Date of Conference2015-08-19 - 2015-08-20
Event Place1 - یزد
Presented byدانشگاه یزد
PresentationSPEECH
Conference LevelNational Conferences

Abstract

In this paper, based on the obtained characterization via the lower bounds for the variance of a function of random variable X, we nd a characterization of the weighted function corresponding to density function f(x), in terms of Cherno-type inequalities. Subsequently, by using the new characterization, we derive the lower bounds for the variance of a function of the weighted random variable. Moreover, assuming that X is DFR [decreasing failure rate] we nd an lower bound for the variance of this function with specific weight functions.