View source: R/univariate.mle.R

MLE of the Purkayastha distribution | R Documentation |

MLE of the Purkayastha distribution.

```
purka.mle(x, tol = 1e-07)
```

`x` |
A numerical vector with data expressed in radians or a matrix with spherical data. |

`tol` |
The tolerance value to terminate the Brent algorithm. |

MLE of the Purkayastha distribution is performed.

A list including:

`theta` |
The median direction. |

`alpha` |
The concentration parameter. |

`loglik` |
The log-likelihood. |

`alpha.sd` |
The standard error of the concentration parameter. |

Michail Tsagris.

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

Purkayastha S. (1991). A Rotationally Symmetric Directional Distribution: Obtained through Maximum Likelihood Characterization. The Indian Journal of Statistics, Series A, 53(1): 70-83

Cabrera J. and Watson G. S. (1990). On a spherical median related distribution. Communications in Statistics-Theory and Methods, 19(6): 1973-1986.

```
circ.cor1
```

```
x <- cbind( rnorm(100,1,1), rnorm(100, 2, 1) )
x <- x / sqrt(rowSums(x^2))
purka.mle(x)
```

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