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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