TY - JOUR

T1 - An examination of stochastic models for the number of book circulations in academic libraries - Concerning to a negative binomial distribution

AU - Kishida, Kazuaki

AU - Harada, Takashi

AU - Takayama, Masaya

AU - Ogawa, Haruyuki

AU - Itsumura, Hiroshi

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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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M3 - Article

AN - SCOPUS:55249117588

SN - 0373-4447

VL - 1987

SP - 25

EP - 38

JO - Library and Information Science

JF - Library and Information Science

IS - 25

ER -