2006, Vol.9, No.3, pp.276-282
The statistics involving random multiplicative stochastic
processes have been studied empirically.
Examples taken here are the duration distribution of disability for aged
people, the life span of animals and the population distribution of
prefectures in Post-World War II Japan.
We found that lognormal distributions show excellent fit with various data for
the duration distribution of disability and the life span of animals.
The good data fitting for both cases by lognormal distributions indicates that
the incidence of both events can be considered as many independent
subprocesses in succession.
We also found that a two-lognormals distribution fits very well over the
entire region for the population distribution of prefectures in post-war
Japan.
This result implies that in this case the size segregation is also relevant,
in addition to the random multiplicative stochastic processes.
Key words:
lognormal distribution, duration of disability, life span of animals, population distribution,
two-lognormals distribution
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