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On some problems in the theory of probabilities

Published online by Cambridge University Press:  18 August 2016

Wilhelm Lazarus ,
Thomas B. Sprague  and
J. Hill Williams
Wilhelm Lazarus
Affiliation:
Hamburg, Corresponding Member of the Institute of Actuaries
Thomas B. Sprague
Affiliation:
Vice-Presidents of the Institute of Actuaries
J. Hill Williams
Affiliation:
Vice-Presidents of the Institute of Actuaries
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Extract

The Author commences by stating that he has in the course of his investigations found the theory of probabilities in a far from perfect state. In many cases, when he has wished to make use of the theory of probabilities, he has searched in vain for demonstrated formulae capable of immediate application, and he has generally been obliged to begin by working out the formulae independently for himself.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 15 , Issue 4 , January 1870 , pp. 245 - 257
Copyright
Copyright © Institute and Faculty of Actuaries 1870

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References

page 251 note * The truth of the equation (24) may be also readily proved by means of successive integration by parts.