MLE of some truncated distributions | R Documentation |

MLE of some truncated distributions.

```
trunccauchy.mle(x, a, b, tol = 1e-07)
truncexpmle(x, b, tol = 1e-07)
```

`x` |
A numerical vector with continuous data. For the Cauchy distribnution, they can be anywhere on the real line. For the exponential distribution they must be strictly positive. |

`a` |
The lower value at which the Cauchy distribution is truncated. |

`b` |
The upper value at which the Cauchy or the exponential distribution is truncated. For the exponential this must be greater than zero. |

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

Maximum likelihood of some truncated distributions is performed.

A list including:

`iters` |
The number of iterations reuired by the Newton-Raphson algorithm. |

`loglik` |
The log-likelihood. |

`lambda` |
The |

`param` |
The location and scale parameters in the Cauchy distribution. |

Michail Tsagris.

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

David Olive (2018). Applied Robust Statistics (Chapter 4).

http://lagrange.math.siu.edu/Olive/ol-bookp.htm

```
purka.mle
```

```
x <- rnorm(500)
trunccauchy.mle(x, -1, 1)
```

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