nimble: carMaxBound – R documentation

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nimble

carMaxBound

Calculate the upper bound for the autocorrelation parameter of the dcar_proper distribution

Description

Calculate the upper bound for the gamma parameter of the dcar_proper distribution

Usage

carMaxBound(C, adj, num, M)

Arguments

`C`	vector of the same length as `adj`, giving the normalized weights associated with each pair of neighboring locations.
`adj`	vector of indices of the adjacent locations (neighbors) of each spatial location. This is a sparse representation of the full adjacency matrix.
`num`	vector giving the number of neighboring locations of each spatial location, with length equal to the number of locations.
`M`	vector giving the diagonal elements of the conditional variance matrix, with length equal to the number of locations.

Details

Bounds for gamma are the inverse of the minimum and maximum eigenvalues of M^(-0.5) C M^(0.5).

Value

The upper bound (maximum allowable value) for the gamma parameter of the dcar_proper distribution.

Author(s)

Daniel Turek

Perry de Valpine [aut], Christopher Paciorek [aut, cre], Daniel Turek [aut], Nick Michaud [aut], Cliff Anderson-Bergman [aut], Fritz Obermeyer [aut], Claudia Wehrhahn Cortes [aut] (Bayesian nonparametrics system), Abel Rodrìguez [aut] (Bayesian nonparametrics system), Duncan Temple Lang [aut] (packaging configuration), Sally Paganin [aut] (reversible jump MCMC), Jagadish Babu [ctb] (code for the compilation system for an early version of NIMBLE), Lauren Ponisio [ctb] (contributions to the cross-validation code), Peter Sujan [ctb] (multivariate t distribution code)

Initial release

2021-04-16