Open AccessThe concept of stochastic dominance in ranking investment alternatives
Author(s) -
Dejan Trifunović
Publication year - 2005
Publication title -
economic annals/ekonomski anali
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.148
H-Index - 12
eISSN - 1820-7375
pISSN - 0013-3264
DOI - 10.2298/eka0564135t
Subject(s) - stochastic dominance , dominance (genetics) , stochastic ordering , mathematical economics , arbitrage , mathematics , economics , econometrics , ranking (information retrieval) , rank (graph theory) , variance (accounting) , statistics , computer science , financial economics , combinatorics , biology , biochemistry , accounting , machine learning , gene
In order to rank investments under uncertainty, the most widely used method is mean variance analysis. Stochastic dominance is an alternative concept which ranks investments by using the whole distribution function. There exist three models: first-order stochastic dominance is used when the distribution functions do not intersect, second-order stochastic dominance is applied to situations where the distribution functions intersect only once, while third-order stochastic dominance solves the ranking problem in the case of double intersection. Almost stochastic dominance is a special model. Finally we show that the existence of arbitrage opportunities implies the existence of stochastic dominance, while the reverse does not hold