The stochastic process {Xn} satisfying Xn+1=max{Yn+1+α β Xn,β Xn} where {Yn} is a stationary sequence of non-negative random variables and $0\leq \alpha \leq 1,\ 0<\beta <1$, can be regarded as a ...

The process {Xn}, defined by Xn + 1 = max{Yn + 1 + αβ Xn, β Xn}, with α and β in [0, 1] and {Yn} stationary, arises in studies of solar thermal energy systems. Bounds for the stationary mean EX are ...