Correction to a paper by A. G. Pakes

J. Aust. Math. Soc. 76 (2004), 67-73

Correction to a paper by A. G. Pakes

Christian Berg
Universitetsparken 5
DK-2100 Kobenhavn O
Denmark
berg@math.ku.dk

Abstract

Starting from a probability $\sigma$ on the half-line with moments of any order A. G. Pakes has defined probabilities $\sigma_r$ by length biasing of order

and

by the stationary-excess operation of order

, $r=1,2,\dots$ . Examples are given to show that $\sigma$ can be determined in the Stieltjes sense while $\sigma_1$ and

are indeterminate in the Stieltjes sense. This shows that a statement in a recent paper by Pakes does not hold.

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