324:
779:
40:
251:, Gompertz was born in London, where his father and grandfather had been successful diamond merchants. Debarred, as a Jew, from a university education, he studied on his own from an early age, in the writings of
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He worked out a new series of tables of mortality for the Royal
Society, and these suggested to him in 1825 his law of human mortality, which he first expounded in a letter to Francis Baily. The law rests on an
301:(1824), and Gompertz was appointed actuary under the deed of settlement. His management of the Alliance Company was successful, he was consulted by government, and made computations for the Army medical board.
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282:. In 1819 he was elected a F.R.S., and in 1832 became a member of the council. The Astronomical Society was founded in 1820, and he was elected a member of the council in 1821.
267:, and for a period won the annual prizes in the magazine for the solutions of problems. Gompertz married Abigail Montefiore (1790–1871) in 1810; they had three children.
286:
312:. Of the leading Jewish charities he was a prominent member, and he worked out a plan of poor relief, which was afterwards adopted by the Jewish board of guardians.
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was established in 1821, he was a candidate for the actuaryship, but the directors objected to him on the grounds that he was a Jew. His brother-in-law
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702:"On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies"
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556:
861:
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P.F. Hooker (1965) – Benjamin
Gompertz, 5 March 1779 – 14 July 1865, Journal of the Institute of Actuaries 91; 203–212
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assumption that a person's resistance to death decreases as his years increase. The model can be written in this way:
578:
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For ten years he actively participated in the work of the
Astronomical Society, contributing papers on the theory of
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353:(1817–18) were self-published. Gompertz was an old-fashioned Newtonian who retained and defended the notation of
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On the death of his only son he retired from the Stock
Exchange, and absorbed himself in mathematics. When the
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In 1848 he retired from active work and returned to his scientific labours. He was a member of many
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where growth is slowest at the start and end of a period. The model has been extended to the
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401:. Their efforts, however, led to the complete catalogue of stars of the
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Committee members of the
Society for the Diffusion of Useful Knowledge
606:"Gompertz, Lewis (1783/4–1861), animal rights campaigner and inventor"
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782: This article incorporates text from a publication now in the
393:; the work was left uncompleted, because of the publication of the
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English self-educated mathematician and actuary (1779–1865)
278:, and served as its president when it was merged with the
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model published in 1825. He was the brother of the early
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Gompertz died from a paralytic seizure on 14 July 1865.
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This model is a refinement of a demographic model of
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he began in 1822 the construction of tables for the
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263:. From 1798 he was a prominent contributor to the
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270:In line with his father's wishes, he entered the
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516:) represents the number of individuals at time
339:From 1806 he was a frequent contributor to the
345:of the Royal Society; but his early tracts on
310:Society for the Diffusion of Useful Knowledge
203:(5 March 1779 – 14 July 1865) was an English
615:(online ed.). Oxford University Press.
501:{\displaystyle N(t)=N(0)e^{-c(e^{at}-1)},\ }
798:. London: Smith, Elder & Co. 1885–1900.
675:. London: Smith, Elder & Co. 1885–1900.
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308:, and was also one of the promoters of the
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842:English people of German-Jewish descent
756:MacTutor History of Mathematics Archive
612:Oxford Dictionary of National Biography
551:, is now used in many areas to model a
867:Neurological disease deaths in England
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215:. Gompertz is now best known for his
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276:Mathematical Society of Spitalfields
822:19th-century English mathematicians
603:Wolf, Lucien; Marsden, Ben (2004).
13:
642:
265:Gentleman's Mathematical Companion
14:
878:
738:
579:Gompertz-Makeham law of mortality
557:Gompertz–Makeham law of mortality
96:Gompertz-Makeham law of mortality
795:Dictionary of National Biography
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672:Dictionary of National Biography
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280:Astronomical Society of London
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852:Fellows of the Royal Society
636:UK public library membership
547:. The equation, known as a
274:. He became a member of the
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700:Gompertz, Benjamin (1825).
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213:Fellow of the Royal Society
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862:Mathematicians from London
666:"Gompertz, Benjamin"
403:Royal Astronomical Society
342:Philosophical Transactions
299:Alliance Assurance Company
181:Royal Astronomical Society
177:Alliance Assurance Company
609:. In Marsden, Ben (ed.).
543:to calculate the cost of
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761:University of St Andrews
367:astronomical instruments
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328:A sketch of an analysis
295:Nathan Mayer Rothschild
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719:10.1098/rstl.1825.0026
621:10.1093/ref:odnb/10934
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247:family of Gompertz of
227:activist and inventor
44:Woodcut, Welcome Trust
847:English statisticians
574:Gompertz distribution
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395:Fundamenta Astronomiæ
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272:London Stock Exchange
172:London Stock Exchange
92:Gompertz distribution
832:British demographers
747:Robertson, Edmund F.
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379:convertible pendulum
375:differential sextant
291:Sir Moses Montefiore
751:"Benjamin Gompertz"
745:O'Connor, John J.;
569:Population dynamics
541:insurance companies
371:aberration of light
790:Gompertz, Benjamin
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409:The Gompertz model
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293:with his relative
207:mathematician and
111:Abigail Montefiore
827:British actuaries
634:(Subscription or
584:Gompertz constant
539:. It was used by
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306:learned societies
297:then founded the
196:Benjamin Gompertz
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138:Scientific career
100:Gompertz constant
25:Benjamin Gompertz
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217:Gompertz law
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165:Institutions
137:
77:(1865-07-14)
75:14 July 1865
60:5 March 1779
18:
817:1865 deaths
812:1779 births
773:Attribution
712:: 513–585.
553:time series
391:fixed stars
387:mean places
335:Mathematics
221:demographic
151:Mathematics
806:Categories
638:required.)
590:References
377:, and the
56:1779-03-05
728:145157003
530:constants
482:−
460:−
361:Astronomy
156:Astronomy
66:, England
626:22 April
563:See also
416:a priori
355:fluxions
249:Emmerich
129:Children
786::
389:of the
381:. With
351:porisms
330:, 1820.
243:Of the
209:actuary
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520:, and
508:where
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369:, the
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144:Fields
106:Spouse
64:London
724:S2CID
319:Works
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628:2020
528:are
524:and
349:and
239:Life
72:Died
50:Born
792:".
714:doi
710:115
617:doi
397:of
200:FRS
30:FRS
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
