Shan S. "On the generalized Zipf distribution. Part I " INFORMATION PROCESSING & MANAGEMENT 41 (6): 1369-1386 DEC 2005
Eugene Garfield
eugene.garfield at THOMSON.COM
Mon Oct 24 13:44:20 EDT 2005
TITLE: On the generalized Zipf distribution. Part I (Article,
English)
AUTHOR: Shan, S
SOURCE: INFORMATION PROCESSING & MANAGEMENT 41 (6). DEC 2005.
p.1369-1386 PERGAMON-ELSEVIER SCIENCE LTD, OXFORD
ABSTRACT:
This article is concerned with a class of informetric
distribution, a family of skew distributions found to describe a wide range
of phenomena both within or outside of information sciences and referred to
as being of Zipf-type. A generalization of Zipf distribution (a size-
frequency form of the Zipf's law), named the generalized Zipf distribution,
is introduced. Two main characterizations of the generalized Zipf
distribution are obtained based on the proportionate hazard rate and
truncated moments. Finally, some asymptotic properties of the generalized
Zipf distribution are investigated. (c) 2005 Elsevier Ltd. All rights
reserved.
AUTHOR ADDRESS: S Shan, Shanghai Univ, Informat Res Ctr, Shanghai, Peoples
R China
Cited References:
BURR IW, 1942, ANN MATH STAT, V13, P215.
EGGHE L, 1990, INTRO INFORMETRICS.
EGGHE L, 1992, INFORM PROCESS MANAG, V28, P35.
ETO H, 1983, SCIENTOMETRICS, V5, P219.
FELLER W, 1978, INTRO PROBABILITY TH, V2.
GLANZEL W, 1984, Z WAHRSCHEINLICHKEIT, V66, P173.
HILL M, 1975, J AM STAT ASSOC, V70, P1017.
IJIRI Y, 1977, SKEW DISTRIBUTIONS S.
IRWIN JO, 1975, J ROYAL STATISTI A 1, V138, P18.
KLAMBAUER G, 1975, MATH ANAL.
MANDELBROT B, 1960, INT ECON REV, V1, P79.
MANDELBROT B, 1961, STRUCTURE LANGUAGE M, P129.
PENNOCK DM, 2002, P NATL ACAD SCI USA, V99, P5207.
PRICE DJD, 1976, J AM SOC INFORM SCI, V27, P292.
ROUSSEAU R, 1995, INFORMATION PROCESSI, V28, P45.
ROUSSEAU R, 1997, CYBERMETRICS, V1, P1.
RUDIN W, 1976, PRINCIPLES MATH ANAL.
SCHUBERT A, 1984, SCIENTOMETRICS, V6, P149.
SIBUYA M, 1979, ANN I STAT MATH, V31, P373.
SIMON HA, 1955, BIOMETRIKA, V42, P425.
SINGH ABZ, 1974, ECONOMETRICA, V44, P963.
TIROLE J, 1988, THEORY IND OR.
ZIPF GK, 1949, HUMAN BEHAV PRINCIPL.
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