Leeds {BMAmevt} | R Documentation |

## Tri-variate ‘angular’ data set approximately distributed according to a multivariate extremes angular distribution

### Description

The data set is constructed from coordinates (columns) `1,2,3`

of `frechetdat`

.
It contains 100 angular points corresponding to the tri-variate vectors `V=(X,Y,Z)`

with largest `L^1`

norm (`||V||=X+Y+Z`

). The angular points are obtained by ‘normalizing’: *e.g.*,
`x=X/||V||`

. Thus,
each row in `Leeds`

is a point on the two-dimensional simplex : `x+y+z=1`

.

### Format

A `100*3`

- matrix.

### References

COOLEY, D., DAVIS, R. and NAVEAU, P. (2010). The pairwise beta distribution: A flexible parametric multivariate model for extremes. *Journal of Multivariate Analysis 101, 2103-2117*

RESNICK, S. (1987). Extreme values, regular variation, and point processes, *Applied Probability. A, vol. 4,
Series of the Applied Probability Trust. Springer-Verlag, New York*.

[Package

*BMAmevt* version 1.0.5

Index]