Zobrazeno 1 - 10 of 42 pro vyhledávání: '"M. T. L. Bizley"'
1
Some notes on probability
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 10:161-203
‘Scientific method is systematic doubt.’Dr Stuart ChaseWe may approach our subject by considering how we are to define probability. This at once raises a number of questions which may be classified under a few broad headings in the following way.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ffe3b5a952f99268819e8e94309b868e
https://doi.org/10.1017/s0020269x00004497
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4
The Riddle of the Aces
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 19:42-54
1. In this note we shall try to unravel a puzzle. It is hoped that the triviality of the subject-matter will not persuade the reader that it is unworthy of his attention; our excuse for offering it is that the underlying principle turns out to be app
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::142841e62069c422f9c72249650c4126
https://doi.org/10.1017/s0020269x00008252
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5
A Note on Some Elementary Derangement and Allied Problems
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 16:147-151
The following method of solving a certain type of problem in permutations and combinations, and in probability, is so simple that it must have been used before. On the other hand, the writer has never seen it expounded in the following form, and it d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5f3b9374851bbc39d207a37d54131b8f
https://doi.org/10.1017/s0020269x00007192
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6
The comparison of salary scales
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 9:105-120
In Pension Fund work there arises the problem of determining the cost of a pension dependent upon salary and length of service, and it is often required to ascertain how this cost would be affected if a different salary scale were substituted for tha
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4b26499e23b23f5b52d10d61f55791db
https://doi.org/10.1017/s0020269x0000390x
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7
A Further Table of Binomial Coefficients
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 14:326-333
A table of for m = 1 (1) 20 and t = 1 (1) m was supplied by the writer in J.S.S. x (facing p. 64). The present table gives values of for m = 21 (1) 52 and t = 1 (1) n, where n = ½m if m is even, or ½(m — 1) if m is odd. By virtue of the identity
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c38b380edeac61e88c023a400c130ac
https://doi.org/10.1017/s0020269x00006332
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8
A Measure of Smoothness and Some Remarks on a New Principle of Graduation
Autor: M. T. L. Bizley
Publikováno v: Journal of the Institute of Actuaries. 84:125-165
The achievement of smoothness is one of the main purposes of graduation. Smoothness, however, has never been defined except in terms of concepts which themselves defy definition, and there is no accepted way of measuring it. This paper presents an at
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d4f84bdce16a8cd486e3366d1ea86d9f
https://doi.org/10.1017/s0020268100037537
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9
A Note on Restricted Selections
Autor: M. T. L. Bizley
Publikováno v: Journal of the Staple Inn Actuarial Society. 16:333-345
In a recent note (Bizley, 1960) the writer described a device which simplifies the solution of certain derangement problems. The present note explains and illustrates another device in combinatorial work (and hence in probability) having potentialiti
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::642b5f4e5dddb85969e49bafc77a5fe2
https://doi.org/10.1017/s0020269x00007398
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