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Abstract
Aims. Causticcrossing binarylens microlensing events are important anomalous events because they are capable of detecting an extrasolar planet companion orbiting the lens star. Fast and robust modelling methods are thus of prime interest in helping to decide whether a planet is detected by an event. Cassan introduced a new set of parameters to model binarylens events, which are closely related to properties of the light curve. In this work, we explain how Bayesian priors can be added to this framework, and investigate on interesting options.
Methods. We develop a mathematical formulation that allows us to compute analytically the priors on the new parameters, given some previous knowledge about other physical quantities. We explicitly compute the priors for a number of interesting cases, and show how this can be implemented in a fully Bayesian, Markov chain Monte Carlo algorithm.
Results. Using Bayesian priors can accelerate microlens fitting codes by reducing the time spent considering physically implausible models, and helps us to discriminate between alternative models based on the physical plausibility of their parameters.
Original language  English 

Article number  52 
Number of pages  7 
Journal  Astronomy & Astrophysics 
Volume  515 
DOIs  
Publication status  Published  Jun 2010 
Keywords
 gravitational lensing: micro
 methods: analytical
 methods: statistical
 planetary systems
 PLANET
 AMPLIFICATION
 SYSTEMS
 SCHEME
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Dive into the research topics of 'Bayesian analysis of causticcrossing microlensing events'. Together they form a unique fingerprint.Projects
 1 Finished

Astrophysics in St Andrews: Astrophysics in St Andrews / SUPA (Continuan of Rolling Grant  XPP089
Bonnell, I. A., Cameron, A. C., Dominik, M., Driver, S. P., Greaves, J. S., Horne, K. D., Jardine, M. M., Wood, K. & Zhao, H.
Science & Technology Facilities Council
1/04/09 → 31/03/12
Project: Standard