Embodiments of present invention disclose a system and a method for determining a result of a function applied to a first vector and a second vector, wherein the function is a normalized sum-type function. The first vector is stored at a first processor, and the second vector is stored at a second processor. The system and the method determine a joint empirical probability distribution (JEPD) of the first vector and the second vector using a secure multi-party computation. The function is determined as a normalized summation of products of values of the JEPD with corresponding values of the function.