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A Process-Reconstruction Analysis of Market Fluctuations
Rui Vilela Mendes
出版
SSRN
, 2015
URL
http://books.google.com.hk/books?id=60P-zgEACAAJ&hl=&source=gbs_api
註釋
The statistical properties of a stochastic process may be described (1) by the expectation values of the observables, (2) by the probability distribution functions or (3) by probability measures on path space. Here an analysis of level (3) is carried out for market fluctuation processes. Gibbs measures and chains with complete connections are considered. Some other topics are also discussed, in particular the asymptotic stationarity of the processes and the behavior of statistical indicators of level (1) and (2). We end up with some remarks concerning the nature and origin of the market fluctuation process and its relation to the efficient market hypothesis.