omxMnor {OpenMx} | R Documentation |

## Multivariate Normal Integration

### Description

Given a covariance matrix, a means vector, and vectors of lower and upper bounds, returns the multivariate normal integral across the space between bounds.

### Usage

omxMnor(covariance, means, lbound, ubound)

### Arguments

`covariance` |
the covariance matrix describing the multivariate normal distribution. |

`means` |
a row vector containing means of the variables of the underlying distribution. |

`lbound` |
a row vector containing the lower bounds of the integration in each variable. |

`ubound` |
a row vector containing the upper bounds of the integration in each variable. |

### Details

The order of columns in the ‘means’, ‘lbound’, and ‘ubound’ vectors are assumed to be the same as that of the covariance matrix. That is, means[i] is considered to be the mean of the variable whose variance is in covariance[i,i]. That variable will be integrated from lbound[i] to ubound[i] as part of the integration.

The value of ubound[i] or lbound[i] may be set to Inf or -Inf if a boundary at positive or negative infinity is desired.

For all i, ubound[i] must be strictly greater than lbound[i].

### Examples

data(myFAData)
covariance <- cov(myFAData[,1:3])
means <- mean(myFAData[,1:3])
lbound <- c(-Inf, 0, 1) # Integrate from -Infinity to 0 on first variable
ubound <- c(0, Inf, 2.5) # From 0 to +Infinity on second, and from 1 to 2.5 on third
omxMnor(covariance, means, lbound, ubound)

[Package

*OpenMx* version 0.3.2-1263

Index]