ABS: Huber, The underlying process generating Lotka's Law and the statistics of exceedances
Gretchen Whitney
gwhitney at UTKUX.UTCC.UTK.EDU
Thu Jun 1 18:21:04 EDT 2000
PT J
AU Huber, JC
TI The underlying process generating Lotka's Law and the
statistics of exceedances
SO INFORMATION PROCESSING & MANAGEMENT
LA English
DT Article
NR 49
SN 0306-4573
PU PERGAMON-ELSEVIER SCIENCE LTD
C1 Inst Invent & Innovat, 500 E Anderson Lane, Suite 238-X,
Austin, TX 78752 USA.
Inst Invent & Innovat, Austin, TX 78752 USA.
ID SCIENTIFIC PARTICIPATION; PRODUCTIVITY; DISTRIBUTIONS;
PUBLICATION; PRECISION; DURATION; SCIENCE; SPEED
AB Lotka's Law is a widely observed distribution of authors of
scholarly papers and patents. Numerous studies over the past
seventy years have found Lotka's Law describes production in
fields as diverse as chemistry, economics, history, information
science, musicology, patents and psychology. But previously the
parameters for Lotka's Law were not linked to variables that
could be measured or estimated during an individual's career.
Here we show that the statistics of exceedances generates
Lotka's Law. Specifically, the Frequency of production (papers
or patents per year) and Lifetime (career duration) are
exponentially distributed random variables. Empirical,
phenomenological and mathematical development shows that, when
suitably weighted, the product of Frequency and Lifetime
produces Lotka's Law. (C) 1998 Elsevier Science Ltd. All rights
reserved.
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BP 471
EP 487
PG 17
JI Inf. Process. Manage.
PY 1998
PD JUL
VL 34
IS 4
GA 114LC
PI OXFORD
RP Huber JC
Inst Invent & Innovat, 500 E Anderson Lane, Suite 238-X, Austin, TX 78752 USA.
J9 INFORM PROCESS MANAGE
PA THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB,
ENGLAND
UT ISI:000075610100008
ER
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