Modeling citation behavior in Management Science journals

Citation rates are becoming increasingly important in judging the research quality of journals, institutions and departments, and individual faculty. This paper looks at the pattern of citations across different management science journals and over time. A stochastic model is proposed which views the generating mechanism of citations as a gamma mixture of Poisson processes generating overall a negative binomial distribution. This is tested empirically with a large sample of papers published in 1990 from six management science journals and found to fit well. The model is extended to include obsolescence, i.e., that the citation rate for a paper varies over its cited lifetime. This leads to the additional citations distribution which shows that future citations are a linear function of past citations with a time-dependent and decreasing slope. This is also verified empirically in a way that allows different obsolescence functions to be fitted to the data. Conclusions concerning the predictability of future citations, and future research in this area are discussed.

[1]  Wolfgang Glänzel,et al.  Predictive Aspects of a Stochastic Model for Citation Processes , 1995, Inf. Process. Manag..

[2]  Ronald Rousseau,et al.  Double exponential models for first-citation processes , 1994, Scientometrics.

[3]  R. Merton The Matthew Effect in Science, II: Cumulative Advantage and the Symbolism of Intellectual Property , 1988, Isis.

[4]  Quentin L. Burrell,et al.  Stochastic modelling of the first-citation distribution , 2004, Scientometrics.

[5]  Quentin L. Burrell,et al.  Using the Gamma-Poisson model to predict library circulations , 1990, J. Am. Soc. Inf. Sci..

[6]  A. W. Kemp,et al.  Univariate Discrete Distributions , 1993 .

[7]  Steven C. Wheelwright,et al.  Forecasting methods and applications. , 1979 .

[8]  Charles Baden-Fuller,et al.  Making and Measuring Reputations: The Research Ranking of European Business Schools , 2000 .

[9]  ANTHONY F. J. VAN RAAN,et al.  Sleeping Beauties in science , 2004, Scientometrics.

[10]  Arie Rip,et al.  Co-word maps of biotechnology: An example of cognitive scientometrics , 1984, Scientometrics.

[11]  Leo Egghe,et al.  A heuristic study of the first-citation distribution , 2000, Scientometrics.

[12]  Wolfgang Glänzel,et al.  On the possibility and reliability of predictions based on stochastic citation processes , 2006, Scientometrics.

[13]  Quentin L. Burrell,et al.  Are “Sleeping Beauties” to be expected? , 2005, Scientometrics.

[14]  Nigel Meade,et al.  Technological Forecasting-Model Selection, Model Stability, and Combining Models , 1998 .

[15]  Carl-Axel S. Staël von Holstein,et al.  Exceptional Paper---Probability Encoding in Decision Analysis , 1975 .

[16]  G. Easton,et al.  Marketing Journals and the Research Assessment Exercise , 2003 .

[17]  Henk F. Moed,et al.  Journal impact measures in bibliometric research , 2004, Scientometrics.

[18]  Quentin L. Burrell,et al.  The nth-citation distribution and obsolescence , 2002, Scientometrics.

[19]  Quentin L. Burrell Predictive aspects of some biobliometric processes. , 1988 .

[20]  Wolfgang Glänzel,et al.  A bibliometric study on ageing and reception processes of scientific literature , 1995, J. Inf. Sci..

[21]  M. Greenwood,et al.  An Inquiry into the Nature of Frequency Distributions Representative of Multiple Happenings with Particular Reference to the Occurrence of Multiple Attacks of Disease or of Repeated Accidents , 1920 .

[22]  QUENTIN BURRELL,et al.  A Simple stochastic Model for Library loans , 1980, J. Documentation.

[23]  John Mingers,et al.  Ranking journals in business and management: a statistical analysis of the Harzing data set , 2007, Eur. J. Inf. Syst..

[24]  Derek de Solla Price,et al.  A general theory of bibliometric and other cumulative advantage processes , 1976, J. Am. Soc. Inf. Sci..

[25]  Quentin L. Burrel Stochastic modelling of the first-citation distribution , 2001 .

[26]  Quentin L. Burrell Using the Gamma-Poisson model to predict library circulations , 1990 .

[27]  F. DuBois,et al.  Ranking the International Business Journals , 2000 .

[28]  H. S. Sichel,et al.  A bibliometric distribution which really works , 1985, J. Am. Soc. Inf. Sci..

[29]  John E. Beasley,et al.  OR-Library: Distributing Test Problems by Electronic Mail , 1990 .

[30]  Michael Rowlinson,et al.  Journal Rankings in Business and Management and the 2001 Research Assessment Exercise in the UK , 2004 .

[31]  A. Tahai,et al.  A revealed preference study of management journals' direct influences , 1999 .

[32]  Charles Jennings,et al.  Citation Data: The Wrong Impact? * * Reprinted with permission from Nature Neuroscience, 1, December, 1998, 641-643. , 2001, Cortex.

[33]  Ronald Rousseau,et al.  The negative binomial distribution as a trend distribution for circulation data in flemish public libraries , 1992, Scientometrics.

[34]  Quentin L. Burrell,et al.  Predicting future citation behavior , 2003, J. Assoc. Inf. Sci. Technol..

[35]  Marshall L. Fisher,et al.  The Lagrangian Relaxation Method for Solving Integer Programming Problems , 2004, Manag. Sci..