ISIPTA'07 - FIFTH INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

Charles University, Faculty of Mathematicsand Physics
Prague, Czech Republic
16-19 July 2007

ELECTRONIC PROCEEDINGS

Mikelis Bickis, Ugis Bickis

Predicting the Next Pandemic: An Exercise in Imprecise Hazards

Abstract

Influenza pandemics have swept the world numerous times during the last few centuries. Cases of bird flu infecting humans have prompted predictions that we are due for another pandemic soon, but skeptics dismiss such prognostications as panic caused by a misunderstanding of probability. The issue can be reduced mathematically to the question of whether the pandemic process has an increasing, constant, or decreasing hazard function. Historical data on past pandemics can be used to estimate the hazard function using imprecise probabilities, giving upper and lower predictive probabilities of an imminent pandemic, given past waiting times. In order to achieve smoother estimates of the imprecise hazard function, an autocorrelated imprecise Normal prior is proposed.

Keywords. Survival analysis, hazard function, autocorrelated prior.

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Authors addresses:

Mikelis Bickis
Dept. of Mathematics & Statistics
106 Wiggins Road
Saskatoon, Saskatchewan
CANADA
S7N 5E6

Ugis Bickis
2 Saginaw Crescent
Ottawa, Ontario
K2E 5N6

E-mail addresses:

Mikelis Bickis bickis@snoopy.usask.ca
Ugis Bickis bickis@sympatico.ca

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