KnowraMoment-generating functionLinked fromLinked fromThe 19 pages that link to Moment-generating function, each with the reason it gives.All 19Related 15Compared with 4Characteristic functionCompared with: Unlike this function, it may fail to exist for heavy-tailed distributions.Cumulative distribution functionCompared with: It summarizes moments and can identify distributions, but is not generally defined everywhere.Probability-generating functionCompared with: It encodes ordinary moments, whereas this function's coefficients encode discrete probabilities.Cramér's decomposition theoremCompared with: Unlike characteristic functions, moment-generating functions need not exist for every summand.