Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 414, Issue 2, Pages 1418-1426Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1365-2966.2011.18474.x
Keywords
methods: analytical; methods: data analysis; methods: statistical
Categories
Funding
- US National Science Foundation [AST-0747311]
- Direct For Mathematical & Physical Scien
- Division Of Astronomical Sciences [0747311] Funding Source: National Science Foundation
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Nested sampling has emerged as a valuable tool for Bayesian analysis, in particular for determining the Bayesian evidence. The method is based on a specific type of random sampling of the likelihood function and prior volume of the parameter space. I study the statistical uncertainty in the evidence computed with nested sampling. I examine the uncertainty estimator from Skilling and introduce a new estimator based on a detailed analysis of the statistical properties of nested sampling. Both perform well in test cases and make it possible to obtain the statistical uncertainty in the evidence with no additional computational cost.
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