Information Matrix
Filter Information matrix
Posts feedImpossible Things
Impossibility has often featured in humourous fiction. From Lewis Carroll's White Queen, who "believed as many as six impossible things before breakfast", to Douglas Adams' Restaurant at the End of the Universe, there is entertainment value in absurdity.
The Curse of Cause of Death Models
Stephen's earlier blog explained the origin of the very useful result relating the life-table survival probability \({}_tp_x\) and the hazard rate \(\mu_{x+t}\), namely:
\[ {}_tp_x = \exp \left( - \int_0^t \mu_{x+s} \, ds \right). \qquad (1) \]
To complete the picture, we add the assumption that the future lifetime of a person now aged \(x\) is a random variable, denoted by \(T_x\), and the connection with expression (1) which is:
A/E in A&E
We have often written about how modelling the force of mortality, μx, is superior to using the rate of mortality, qx.