Papaspiliopoulos, Omiros and Sermaidis, Giorgos (2007) Monotonicity properties of the Monte Carlo EM algorithm and connections with simulated likelihood. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2007 (No.24).

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Abstract

In this note we show that the Monte Carlo EM algorithm, appropriately constructed with importance re-weighting, monotonically increases a corresponding simulated likelihood. This is result is formally proved but also intuitively explained by a formulation of the problem using auxiliary variables.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Distribution (Probability theory), Monte Carlo method, Monotonic functions, Missing observations (Statistics)
Series Name:	Working papers
Publisher:	University of Warwick. Centre for Research in Statistical Methodology
Place of Publication:	Coventry
Official Date:	2007
Dates:	Date Event 2007 Published
Volume:	Vol.2007
Number:	No.24
Number of Pages:	5
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Greek State Scholarships Foundation (IKY)

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