Skip to main content Accessibility help
×
Home
Hostname: page-component-6c8bd87754-trcsx Total loading time: 0.234 Render date: 2022-01-20T04:08:50.790Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

On the Method used by Milne in the Construction of the Carlisle Table of Mortality

Published online by Cambridge University Press:  18 August 2016

William Sutton
Affiliation:
Registry of Friendly Societies Institute of Actuaries

Extract

Although the Carlisle Table of Mortality, constructed by the late Mr. Milne from certain tabulated facts given by Dr. Heysham, has for many years played an important part in life assurance calculations, I have not been able to find that anyone has taken the trouble to compare the original facts with the Carlisle Table as given to the world by Mr. Milne. This has probably arisen from the somewhat vague manner in which the methods employed are described in Milne's well-known treatise. For many matters, probably, this once-famous mortality table will in the future be supplanted by the Institute's tables published a few years ago; but it is still worthy of some attention, and I therefore make no further apology for bringing this short note before the readers of the Journal.

In Art. 705 (p. 410) of vol. ii of his Treatise, Milne says:— “ Table II ” [being the Carlisle Table, as known to actuaries], “ exhibiting the law of mortality at Carlisle, has been constructed “ from Tables A and C of the last article, by the methods laid “ down from Art. 174 to 183; except that, between the ages of “ 100 and 105 years, the decrements of life are greater than they “ should be, according to the formula of Art. 177. * * * * * “ The population of Carlisle is too small to afford a sufficient “ number of facts for determining the law of mortality with “ accuracy, after the age of 100. * * * * I have therefore “ assumed the annual decrements after the age of 100, as they “ appear in the table, somewhat arbitrarily, so as to fix the limit “ of life at 105 years.”

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1884

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

page 114 note * It is evident that these ordinates may form any constant angle with the base; but a right one will be found the most convenient in practice.

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

On the Method used by Milne in the Construction of the Carlisle Table of Mortality
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

On the Method used by Milne in the Construction of the Carlisle Table of Mortality
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

On the Method used by Milne in the Construction of the Carlisle Table of Mortality
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *