239 research outputs found
The statistical relationship between product life cycle and repeat purchase behavior in convenience stores
The density function of product life cycles in convenience stores is found to
follow the Weibull distribution. To clarify the parameters that determine these
life cycles, we introduce the conditional market share-defined as the
probability that a product is selected by customers only if it had been
previously purchased-and the market share without any conditions. The product
life cycle is more strongly correlated with the conditional market share of the
product than with the latter type of market share.Comment: 9 pages, 5 figures, 3 tables. Progress of Theoretical Physics, in
pres
Traders' strategy with price feedbacks in financial market
We introduce an autoregressive-type model of prices in financial market
taking into account the self-modulation effect. We find that traders are mainly
using strategies with weighted feedbacks of past prices. These feedbacks are
responsible for the slow diffusion in short times, apparent trends and power
law distribution of price changes.Comment: 4 pages, 5 figures, submitted to Physica
Financial Brownian particle in the layered order book fluid and Fluctuation-Dissipation relations
We introduce a novel description of the dynamics of the order book of
financial markets as that of an effective colloidal Brownian particle embedded
in fluid particles. The analysis of a comprehensive market data enables us to
identify all motions of the fluid particles. Correlations between the motions
of the Brownian particle and its surrounding fluid particles reflect specific
layering interactions; in the inner-layer, the correlation is strong and with
short memory while, in the outer-layer, it is weaker and with long memory. By
interpreting and estimating the contribution from the outer-layer as a drag
resistance, we demonstrate the validity of the fluctuation-dissipation relation
(FDR) in this non-material Brownian motion process
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