 Let formula_111 be cumulative distribution function of a continuous random variable formula_112 and let formula_113 be the Laplace-Stieltjes transform of formula_111.Then the formula_115-th moment of formula_112 can be calculated as
The strategy is to write
where formula_119 is continuous and 
for each formula_105, formula_121 for a function formula_122.For each formula_105, put formula_124 as the inverse Laplace transform of formula_122, obtain 
formula_126, and apply a final value theorem to deduce 
formula_127.