The bivariate beta distribution: Comparison of Monte Carlo generators and evaluation of parameter estimates
Abstract
The bivariate and multivariate beta distributions may provide appropriate stochastic models for a number of processes, particularly those involving random proportions. Researchers may therefore find it necessary to estimate the parameters of such distributions or generate Monte Carlo samples with known parameter values. Two possible generating techniques for beta bivariates are presented and compared in this paper. Estimating equations for the three parameters of the bivariate beta distribution are presented. These use the method of moments, the only tractable estimating technique, and an analysis of their properties is also presented.
This paper focuses on the bivariate beta distribution, but a user of a higher-dimensioned beta model will be able to make use of the discussion herein to provide assistance in determining many of the properties of such a model.
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- The bivariate beta distribution: Comparison of Monte Carlo generators and evaluation of parameter estimates
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- AIIE: AIIE
- ORSA: Operations Research Society of America
- SCS: Society for Computer Simulation
- TIMS
- SIGSIM: ACM Special Interest Group on Simulation and Modeling
- IEEE: Institute of Electrical and Electronics Engineers
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IEEE Press
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Published: 01 January 1978
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