We study the prospects for extracting detailed statistical properties of th
e Sunyaev-Zeldovich (SZ) effect associated with large-scale structure using
upcoming multifrequency cosmic microwave background (CMB) experiments. The
greatest obstacle to detecting the large-angle signal is the confusion noi
se provided by the primary anisotropies themselves, and to a lesser degree
Galactic and extragalactic foregrounds. We employ multifrequency subtractio
n techniques and the latest foregrounds models to determine the detection t
hreshold for the Boomerang, Microwave Anisotropy Probe (MAP; several mu K),
and Planck CMB (sub-mu K) experiments. Calibrating a simplified biased-tra
cer model of the gas pressure from recent hydrodynamic simulations, we esti
mate the SZ power spectrum, skewness, and bispectrum through analytic scali
ngs and N-body simulations of the dark matter. We show that the Planck sate
llite should be able to measure the SZ effect with sufficient precision to
determine its power spectrum and higher order correlations, e.g., the skewn
ess and bispectrum. Planck should also be able to detect the cross-correlat
ion between the SZ and gravitational lensing effect in the CMB. Detection o
f these effects will help determine the properties of the as yet undetected
gas, including the manner in which the gas pressure traces the dark matter
.