116 citations · 590 across the 35 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2011★ 7 cited
A natural derivative on [0,n] and a binomial Poincaré inequality
Erwan Hillion, Oliver Johnson, Yaming Yu
We consider probability measures supported on a finite discrete interval . We introduce a new finitedifference operator , defined as a linear combination of left a…
math.PR2010★ 5 cited
Concave Renewal Functions Do Not Imply DFR Inter-Renewal Times
Yaming Yu
Brown (1980, 1981) proved that the renewal function is concave if the inter-renewal distribution is DFR (decreasing failure rate), and conjectured the converse. This note settles B…
math.PR2009★ 18 cited
Some stochastic inequalities for weighted sums
Yaming Yu
We compare weighted sums of i.i.d. positive random variables according to the usual stochastic order. The main inequalities are derived using majorization techniques under certain…