### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 25-38 |

Number of pages | 14 |

Journal | Library and Information Science |

Volume | 1987 |

Issue number | 25 |

Publication status | Published - 1987 |

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### ASJC Scopus subject areas

- Library and Information Sciences

### Cite this

*Library and Information Science*,

*1987*(25), 25-38.

**An examination of stochastic models for the number of book circulations in academic libraries - Concerning to a negative binomial distribution.** / Kishida, Kazuaki; Harada, Takashi; Takayama, Masaya; Ogawa, Haruyuki; Itsumura, Hiroshi.

Research output: Contribution to journal › Article

*Library and Information Science*, vol. 1987, no. 25, pp. 25-38.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=55249117588&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=55249117588&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:55249117588

VL - 1987

SP - 25

EP - 38

JO - Library and Information Science

JF - Library and Information Science

SN - 0373-4447

IS - 25

ER -