R: Asymptotic variance function

asyvar {binhf} | R Documentation

## Asymptotic variance function

### Description

This function gives values for the asymptotic mean of the new binomial Fisz random variable.

### Usage

    asyvar(xgrid = seq(0, 1, length = 21), ygrid = seq(0, 1, length = 21))

### Arguments

`xgrid` | vector of x co-ordinate probabilities.
`ygrid` | vector of y co-ordinate probabilities.

### Details

Due to the form of the asymptotic variance for equal binomial sizes, this does not need a specification of the binomial size `binsize` (see `asymean`).

### Value

`asyvar` | A matrix of dimension length(xgrid)xlength(ygrid) of values of the variance.

### Author(s)

Matt Nunes (m.nunes@ucl.ac.uk)

### References

Fisz, M. (1955), The Limiting Distribution of a Function of Two Independent Random Variables and its Statistical Application, Colloquium Mathematicum, 3, 138–146.

### See Also

`asymean`, `statgen`

### Examples

    variance<-asyvar(xgrid=seq(0,1,length=21),ygrid=seq(0,1,length=21))

    ## this produces a 21x21 matrix for an equally-spaced grid of binomial proportions.

[Package binhf version 1.0-1 Index]