- An Examination of Stochastic Models for the Number of Book Circulations in Academic Libraries --Concerning to a Negative Binomial Distribution--
- No.25, p.25-39
Recently, some library circulation models have been developed, and it has been tried to make use of them for decision making in libraries. One of the main approaches is to use a negative binomial distribution as a book circulation frequency distribution.
In this paper, firstly, we try to examine the validity of a negative binomial distribution as a book circulation frequency distribution in comparison to other mixture distributions ― beta binomial, Neiman’s type A, and logarithmic series distributions. As a result, the examination indicates the superiority of the negative binomial distribution.
Secondly, we examine a nonstationary Poisson process model which Q. E. Burrell has developed. It’s result clarifies that Burrell’s model doesn’t be enough to fit the year-by-year change of real circulation frequency distributions of Hiyoshi Library and Information Center in Keio University. So, we modify this model. Our modified model gives a better fitness to real deta than Burrell’s model.
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