# Some Useful Functions for Functional Limit Theorems

@article{Whitt1980SomeUF,
title={Some Useful Functions for Functional Limit Theorems},
author={Ward Whitt},
journal={Math. Oper. Res.},
year={1980},
volume={5},
pages={67-85}
}
• W. Whitt
• Published 1 February 1980
• Mathematics
• Math. Oper. Res.
Many useful descriptions of stochastic models can be obtained from functional limit theorems invariance principles or weak convergence theorems for probability measures on function spaces. These descriptions typically come from standard functional limit theorems via the continuous mapping theorem. This paper facilitates applications of the continuous mapping theorem by determining when several important functions and sequences of functions preserve convergence. The functions considered are…
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