Edgeworth Series Approximation for Gamma Type Chance ConstraintsAuthor(s): Mehmet Yılmaz
Journal: Selçuk Journal of Applied Mathematics ISSN 1302-7980
Volume: 10; Issue: 1; Start page: 75; Date: 2009;
Keywords: Gamma distribution | edgeworth expansion | central limit theorem | chance constrained programming | stochastic programming.
We introduce two expansions for approximation to distribution of sum of weighted Gamma variates based on Central Limit Theorem. For more than two weighted components, the exact distribution is more complicate for some application areas like chance constrained programming. This lead us to give two expansions to transform Gamma type chance constrained stochastic model into its deterministic equivalent.