Predicting the future from observable sequences of events in astrophysics I. Maximum Likelihood Estimation for a fixed number of parameters

  • C. Röken
  • Published 2007

Abstract

Using analytical and numerical methods, estimates are given of future predictions in astrophysics that can be gathered from a sequence of observed events, for example for γ -ray bursts. Some general probability considerations are provided and then a maximum likelihood estimation, together with an approximation for the large number limit of possible events. Illustrations are given of the numerical maximum likelihood estimation programs in the situations of both a large number and a finite number of events. The effects of data uncertainty are also considered. Numerical calculations and comparisons with theoretical expectations are presented too.

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Cite this paper

@inproceedings{Rken2007PredictingTF, title={Predicting the future from observable sequences of events in astrophysics I. Maximum Likelihood Estimation for a fixed number of parameters}, author={C. R{\"{o}ken}, year={2007} }