Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Long-Tailed Duration Distributions for Disability in Aged People
Osamu MoriyamaHiroto ItohSatoru MatsushitaMitsugu Matsushita
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2003 Volume 72 Issue 10 Pages 2409-2412

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Abstract
Long tails of the duration distributions for disabilities in the aged are analyzed. Log–normal distribution shows excellent fit with various data on the durations of disabilities, irrespective of their severity. Persisting long tails suggest the fractal nature of disability distributions. For approximately 60% of the patients, the duration distributions are also mimicked by the first passage time distribution (FPTD) of one-dimensional Brownian motion. The finding that the data fit the log–normal distribution very well and FPTD fairly well reveals disability for the aged to be a stochastic process of suffering successively from various endogenous diseases, i.e., multiple pathology.
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© The Physical Society of Japan 2003
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