Axtell RL "Zipf distribution of US firm sizes" SCIENCE 293 (5536): 1818-1820 SEP 7 2001
Eugene Garfield
garfield at CODEX.CIS.UPENN.EDU
Tue Nov 6 14:15:41 EST 2001
R.L Axtell : raxtell at brookings.edu
TITLE : Zipf distribution of US firm sizes
AUTHOR : Axtell RL
JOURNAL : SCIENCE 293 (5536): 1818-1820 SEP 7 2001
Document type: Article Language: English Cited References: 26
Times Cited: 0
Abstract:
Analyses of firm sizes have historically used data that included limited
samples of small firms, data typically described by
lognormal distributions. Using data on the entire population of tax-paying
firms in the United States, I show here that the Zipf distribution
characterizes firm sizes: the probability a firm is larger than size s is
inversely proportional to s. These results hold for data from multiple years
and for various definitions of firm size.
KeyWords Plus:
STABLE INTERMITTENT FLUCTUATIONS, POWER-LAW DISTRIBUTIONS, SCALING BEHAVIOR,
GROWTH,
SYSTEMS
Addresses:
Axtell RL, Brookings Inst, Ctr Social & Econ Dynam, 1775 Massachusetts Ave
NW, Washington, DC 20036 USA
Brookings Inst, Ctr Social & Econ Dynam, Washington, DC 20036 USA
Publisher:
AMER ASSOC ADVANCEMENT SCIENCE, WASHINGTON
IDS Number:
470WN
ISSN:
0036-8075
Cited Author Cited Work Volume Page Year
ACS Z ARE SMALL FIRMS IMPO 1999
ACS Z INNOVATION SMALL FIR 1990
AMARAL LAN J PHYS I 7 621 1997
AXTELL RL UNPUB
BIHAM O PHYS REV E A 58 1352 1998
BRESLAU L P IEEE INFOCOM 1 126 1999
BROWN C J POLIT ECON 97 1027 1989
BURGOS JD BIOSYSTEMS 39 227 1996
GABAIX X Q J ECON 114 739 1999
GELLMANN M QUARK JAGUAR 92 1994
GIBRAT R INEGALITIES EC APPL 1931
HART PE ECON J 106 1242 1996
HART PE J ROYAL STATISTICA A 119 150 1956
IJIRI Y SKEW DISTRIBUTIONS S 1977
JOHNSON NL CONTINUOUS UNIVARIAT 1994
KESTEN H ACTA MATH 131 207 1973
MALCAI O PHYS REV E A 60 1299 1999
MARSILI M PHYS REV LETT 80 2741 1998
RAMSDEN JJ PHYSICA A 277 220 2000
STANLEY MHR ECON LETT 49 453 1995
STANLEY MHR NATURE 379 804 1996
STEINDL J RANDOM PROCESSES GRO 1965
SUTTON J J ECON LIT 35 40 1997
TAKAYASU H FRACTALS 6 67 1998
WATANABE MS PHYS REV E B 53 4187 1996
ZIPF GK HUMAN BEHAV PRINCIPL
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Eugene Garfield, Ph.D. E-mail: mailto:garfield at codex.cis.upenn.edu Web site:
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