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2017 | OriginalPaper | Chapter

2. Revolutionary Developments Between 1750 and 1810

Author : Craig Turnbull

Published in: A History of British Actuarial Thought

Publisher: Springer International Publishing

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Abstract

The second half of the eighteenth century was a remarkable period of development for both probability (and statistics) and actuarial thought (and practice) more broadly. Two fundamentally important fields of statistical and actuarial thought emerged over the period that can each now be seen as a natural flowering of the seeds planted over the previous 100 years. First, a number of major theoretical breakthroughs were made that created the permanent foundations for the inversion of mathematical probability into inferential statistics. Second, the whole-of-life-with-profit policy was conceived and successfully brought to market. This transformed life assurance from a short-term insurance contract into a long-term savings vehicle that strongly resonated with the emerging professional classes of late-Georgian Britain.

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Footnotes
1
Bayes (1764).
 
2
Todhunter (1865).
 
3
Hume (1739).
 
4
Bayes (1764).
 
5
Hacking (1965), p. 190.
 
6
Boole (1854), p. 370.
 
7
Fisher (1956), p. 16.
 
8
Fisher (1956), p. 20.
 
9
Laplace (1774).
 
10
Laplace (1781).
 
11
Stigler (1986), Chapter 3, p. 103.
 
12
Euler (1749). See Chapter 1 of Stigler (1986) for further discussion of Euler and the treatment of discordant astronomical observations.
 
13
Legendre (1805).
 
14
Gauss (1809).
 
15
Laplace (1810).
 
16
Dodson (1756), Chapter 1.
 
17
Dodson (1756), Chapter 1.
 
18
Dodson (1756), Chapter 3.
 
19
Dodson (1756), Chapter 4.
 
20
Walford (1868), Chapter 4.
 
21
The following quotations from the report of the Attorney General and Solicitor General are obtained from Ogborn (1962), Chapter II.
 
22
Hacking (1975), p. 113.
 
23
Price (1772).
 
24
Price (1772), p. 246.
 
25
Deane and Cole (1967), Chapter 1, Section 2.
 
26
Price (1772), pp. 257–258.
 
27
Price (1772), p. 124.
 
28
Price (1772), p. 129.
 
29
Price (1772), p. 129.
 
30
Price, Observations, p. 131.
 
31
Morgan (1829), p. 20.
 
32
Morgan (1829), p. 38.
 
33
Ogborn (1962), p. 110.
 
34
Homer and Sylla (1996), pp. 156–157.
 
35
Deane and Cole (1967), Chapters I and II.
 
36
Ogborn (1962), pp. 104 and 123.
 
37
Ogborn (1962), p. 155.
 
38
Morgan (1829), Introduction.
 
Literature
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Metadata
Title
Revolutionary Developments Between 1750 and 1810
Author
Craig Turnbull
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-33183-6_2