R: Calculate the lower bound for the autocorrelation parameter...

carMinBound {nimble} | R Documentation

## Calculate the lower bound for the autocorrelation parameter of the `dcar_proper` distribution

### Description

Calculate the lower bound for the `gamma` parameter of the `dcar_proper` distribution

### Usage

    carMinBound(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 lower bound (minimum allowable value) for the `gamma` parameter of the `dcar_proper` distribution.

### Author(s)

Daniel Turek

### See Also

`CAR-Proper`, `carMaxBound`, `carBounds`

[Package nimble version 0.10.0 Index]