3 citations · 4 across the 6 of their papers we have counts for
6 papers
Bounds on Spreads of Matrices related to Fourth Central Moment. II
R. Sharma, R. Kumar, R. Saini +1
We derive some inequalities involving first four central moments of discrete and continuous distributions. Bounds for the eigenvalues and spread of a matrix are obtained when all i…
A note on variance bounds and location of eigenvalues
R. Sharma, A. Sharma, R. Saini
We discuss some extensions and refinements of the variance bounds for both real and complex numbers. The related bounds for the eigenvalues and spread of a matrix are also derived…
Means Moments and Newton's Inequalities
R. Sharma, A. Sharma, R. Saini +1
It is shown that Newton's inequalities and the related Maclaurin's inequalities provide several refinements of the fundamental Arithmetic mean - Geometric mean - Harmonic mean ineq…
Complementary upper bounds for fourth central moment with extensions and applications
R. Sharma, R. Kumar, R. Saini +1
We prove some inequalities involving fourth central moment of a random variable that takes values in a given finite interval. Both discrete and continuous cases are considered. Bou…
Note on Bounds for Eigenvalues using Traces
R. Sharma, R. Kumar, R. Saini
We show that various old and new bounds involving eigenvalues of a complex n x n matrix are immediate consequences of the inequalities involving variance of real and complex number…
On Lower bounds for variance and moments of unimodal distributions
R. Sharma, R. Bhandari, R. Saini
We provide an elementary proof of the lower bound for the variance of continuous unimodal distributions and obtain analogous bounds for the higher order central moments. A lower bo…