Description Usage Arguments Details Value Author(s) References See Also Examples

Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions.

1 2 | ```
colspml.mle(x ,tol = 1e-07, maxiters = 100, parallel = FALSE)
colvm.mle(x, tol = 1e-07)
``` |

`x` |
A numerical matrix with data. Each column refers to a different vector of observations of the same distribution. The values of for Lognormal must be greater than zero, for the logitnormal they must by percentages, exluding 0 and 1, whereas for the Borel distribution the x must contain integer values greater than 1. |

`tol` |
The tolerance value to terminate the Newton-Raphson algorithm. |

`maxiters` |
The maximum number of iterations that can take place in each regression. |

`parallel` |
Do you want this to be executed in parallel or not. The parallel takes place in C++, and the number of threads is defined by each system's availiable cores. |

For each column, spml.mle function is applied that fits the angular Gaussian distribution estimates its parameters and computes the maximum log-likelihood.

A matrix with four columns. The first two are the mean vector, then the *γ* parameter, and the fourth
column contains maximum log-likelihood.

Michail Tsagris

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr

Presnell Brett, Morrison Scott P. and Littell Ramon C. (1998). Projected multivariate linear models for directional data. Journal of the American Statistical Association, 93(443): 1068-1077.

```
spml.mle, spml.reg, vm.mle, vmf.mle
```

1 2 3 4 |

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