Homepage of
Jan Karman
Middelburg (Neth)

Design & Copyright
Jan Karman
Last revised: December 2021

Web Analytics
"Pensionering verbetert de vitaliteit, doorwerken is een ander verhaal"

'Wat gebeurt er met de vitaliteit van oudere werknemers als ze langer doorwerken of met pensioen gaan? En verschilt dit naar het soort werk dat men verricht? Nieuw onderzoek laat zien dat pensionering werknemers vitaler maakt, maar doorwerken leidt vooral onder werknemers die handarbeid verrichten tot een achteruitgang.'
See more

Bron: Demos/Nederlands Interuniversitair Demografisch Instituut


Otium cum dignitate

"Reshuffling chaos"

Graduation of Mortality
(from: samples | K | Show | Mortality)
Free Download (193Kb)
See also: My article in Vector

Mortality tables are usually graduated for either practical or scientific purposes. The formulae, in which the mortality is expressed as a function of x (= age) are often of the type (Makeham's law):
   mx = A + B.cx (force of mortality)
with A, B and c as parameters. Finding the values of those parameters from the crude material is the hard part.
King-Hardy's method is a suitable way to transform this power function into a linear equation system; it is solved here by way of a least square K-runtime function.
See also E.Zwinggi - Versicherungsmathematik
When invoked, one will find four controls in the bottom part. The first two controls act like a spinbox, the two right most controls simulate the Windows-locator. The challenge is to find as large as possible ranges for making the "law" valid.
Later, famous methods came from Th.N. Thiele, published posthumously in 1910, and recent approaches and remarks can be found in W.J. Willemse

Recommended for Africa:
G.M.K. Kpedekpo - Essentials of Demographic Analysis for Africa

Jan Karman LinkedIn
Middelburg (Neth), November 2006

 My music
Recent Compositions

 My harpsichord
Actuarial & financial applications:
 Actuarial Factors
 Annuity Loan
 Graduation of Mortality
 Profit & Loss in Stocks
 The Price of Bonds
 Afronding van sterftetafels
 Ausgleichung von Sterbetafeln
LinkedIn:      Profile
Art: Art Gallery Orsmaal