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MRS
1.0
A C++ Class Library for Statistical Set Processing
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MRS
1.0
A C++ Class Library for Statistical Set Processing
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A class for a log prior for IMH MCMC based on a Catalan number prior. More...
Inheritance diagram for subpavings::LogCatalanIMHPrior: Collaboration diagram for subpavings::LogCatalanIMHPrior:Public Member Functions | |
| cxsc::real | operator() (const size_t k) const |
| Get log prior value for state with k splits. | |
| std::pair< cxsc::real, cxsc::real > | logChange (unsigned long int k, unsigned long int kPrime) const |
| Get the change in log prior value when a state with k splits changes to a state with kPrime splits, and the same adjusted for catalan ratio C_k/C_kPrime. | |
A class for a log prior for IMH MCMC based on a Catalan number prior.
The prior is related to the Catalan number of the number of bisections of the root box k, Ck. After k splits there are Ck distinct possible full binary trees and so, for each k, total probability of all the states resulting from k splits is proportional to 1/Ck. If each of these k-split states is equally likely then then the probability of any one k-split state is 1/(Ck^2)
