A central limit theorem for correlated variables with limited normal or gamma distributions

2018-12-24T05:30:56Z (GMT) by Dennis DeRiggi

Non-negative limited normal or gamma distributed random variables are commonly used to model physical phenomenon such as the concentration of compounds within gaseous clouds. This paper demonstrates that when a collection of random variables with limited normal or gamma distributions represents a stationary process for which the underlying variables have exponentially decreasing correlations, then a central limit theorem applies to the correlated random variables.