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On the statistical properties of ergodic economic systems. (English) Zbl 1001.91069

Summary: We reveal some important statistical properties of ergodic processes, which have never been discussed in the literature. These properties not only help us to understand better the internal mechanism of an ergodic process but also provide new insights about dynamical economic processes. It is found that, for a broader class of one-dimensional, discrete time process widely applied in economics, the average growth rate of an ergodic process is always positive, regardless of the explicit form of the process.

MSC:

91B62 Economic growth models
37A99 Ergodic theory
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