R: Bread for Sandwich Estimator

bread.maxLik {maxLik} | R Documentation

## Bread for Sandwich Estimator

### Description

Extracting an estimator for the ‘bread’ of the sandwich estimator, see `bread`.

### Usage

    ## S3 method for class 'maxLik'
    bread( x, ... )

### Arguments

`x` | an object of class `maxLik`.
`...` | further arguments (currently ignored).

### Value

Matrix, the inverse of the expectation of the second derivative (Hessian matrix) of the log-likelihood function with respect to the parameters. In case of the simple Maximum Likelihood, it is equal to the variance covariance matrix of the parameters, multiplied by the number of observations.

### Warnings

The sandwich package is required for this function.

This method works only if the observaton-specific gradient information was available for the estimation. This is the case if the observation-specific gradient was supplied (see the `grad` argument for `maxLik`), or the log-likelihood function returns a vector of observation-specific values.

### Author(s)

Arne Henningsen

### See Also

`bread`, `maxLik`.

### Examples

    ## ML estimation of exponential duration model:
    t <- rexp(100, 2)
    loglik <- function(theta) log(theta) - theta*t

    ## Estimate with numeric gradient and hessian
    a <- maxLik(loglik, start=1 )

    # Extract the "bread"
    library( sandwich )
    bread( a )

    all.equal( bread( a ), vcov( a ) * nObs( a ) )

[Package maxLik version 1.3-4 Index]