In stochastic acoustic emission, both theory and experiments suggest t
hat the power of the acoustic emission signal is proportional to the s
ource energy. Hence, inference about the power is equivalent to infere
nce about the source energy except for a constant multiple. In this re
gard, the connection between peaks exceeding a fixed level and the pow
er in random acoustic emission waves is explored when the source energ
y is an impulse of short duration. Under certain conditions, the peak
distribution is sensitive to power changes, determines it, and is dete
rmined by it. The maximum-likelihood estimator of the power from a ran
dom sample of peaks-the peak estimator-is more efficient than the maxi
mum-likelihood estimator-average sum of squares-from a random sample o
f the same size of signal values. When evaluated from nonrandom sample
s, indications are that the peak estimator may still have a relatively
small mean-square error. A real data example indicates that the left-
truncated Rayleigh probability distribution may serve as an adequate m
odel for high peaks. (C) 1995 Acoustical Society of America.