Study on the Number of Clothes and Their Life Span

Part 1 : Distribution of Number of Clothes by a Woman

Abstract

In order to find out some rules on the number of clothes and the span of the service life of them, we propose two theoretical models that are studied on the degree of the coincidence of the surveyed data with the relation to the sort of clothes.
Based on above objects, we were able to get the following results.
1. By the basic consideration, we found the relation among the number of procured clothes, the span of the service life and the number of possessed clothes.
2. A theoretical model of the number of possessed clothes was give by the following equation based on the queue theory.
P (k) =e-^L×L^k/k!
where, P (k) was probability that k of clothes are possessed, and L=λT (λ is an average number of procured clothes and T was a span of the service life).
3. A theoretical model of the probability P (r) that r clothes are procured per year was given by :
L=λT4. By comparing theoretical models with the surveyed data, we got the following results and found those models coincided with the surveyed data.
Possessing model : completely coincided clothes 58%
nearly coincided clothes 29%
not coincided clothes 13%
Procuring model : completely coincided clothes 100%
5. We considered the reason why there were such differences in degree of coincidence among each clothes and found that the models did not coincide with the surveyed data in the case of (1) the large average number of possessing clothes and (2) the clothes including the particularly large number of possessing .