Ga. Anastassiou et T. Rychlik, MOMENT PROBLEMS ON RANDOM ROUNDING RULES SUBJECT TO 2 MOMENT CONDITIONS, Computers & mathematics with applications (1987), 36(1), 1998, pp. 9-19
Sharp upper and lower bounds are presented for the expectation of a ra
ndomly rounded nonnegative random variables satisfying a support const
raint and two moment conditions. The rounding rule ascribes either the
floor or the ceiling to a number due to a given two-point distributio
n. (C) 1998 Elsevier Science Ltd. All rights reserved.