Synonyms for Estimate (same or very similar meaning)
WordNet sense 1 (a document appraising the value of something (as for insurance or taxation)):
appraisal, estimation
WordNet sense 2 (an approximate calculation of quantity or degree or worth):
approximation, idea
WordNet sense 3 (judge to be probable):
calculate, figure, forecast, reckon, count on
WordNet sense 4 (judge tentatively or form an estimate of (quantities or time)):
gauge, guess, judge, approximate, approximate
From the ODE community, based on WordNet
add/edit