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Bibliographic Details
Main Authors: Hassoun, Zane, Powell, Ben, MacKay, Niall
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.00785
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author Hassoun, Zane
Powell, Ben
MacKay, Niall
author_facet Hassoun, Zane
Powell, Ben
MacKay, Niall
contents We present a new method, "kairosis", for aggregating probability forecasts made over a time period of a single outcome determined at the end of that period. Informed by work on Bayesian change-point detection, we begin by constructing for each time during the period a posterior probability that the forecasts before and after this time are distributed differently. The resulting posterior probability mass function is integrated to give a cumulative mass function, which is used to create a weighted median forecast. The effect is to construct an aggregate in which the most heavily weighted forecasts are those which have been made since the probable most recent change in the forecasts' distribution. Kairosis outperforms standard methods, and is especially suitable for geopolitical forecasting tournaments because it is observed to be robust across disparate questions and forecaster distributions.
format Preprint
id arxiv_https___arxiv_org_abs_2408_00785
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Kairosis: A method for dynamical probability forecast aggregation informed by Bayesian change point detection
Hassoun, Zane
Powell, Ben
MacKay, Niall
Applications
We present a new method, "kairosis", for aggregating probability forecasts made over a time period of a single outcome determined at the end of that period. Informed by work on Bayesian change-point detection, we begin by constructing for each time during the period a posterior probability that the forecasts before and after this time are distributed differently. The resulting posterior probability mass function is integrated to give a cumulative mass function, which is used to create a weighted median forecast. The effect is to construct an aggregate in which the most heavily weighted forecasts are those which have been made since the probable most recent change in the forecasts' distribution. Kairosis outperforms standard methods, and is especially suitable for geopolitical forecasting tournaments because it is observed to be robust across disparate questions and forecaster distributions.
title Kairosis: A method for dynamical probability forecast aggregation informed by Bayesian change point detection
topic Applications
url https://arxiv.org/abs/2408.00785