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

View source: R/family.aunivariate.R

Estimates the (1-parameter) Lindley distribution by maximum likelihood estimation.

1 |

`link` |
Link function applied to the (positive) parameter.
See |

`itheta, zero` |
See |

The density function is given by

*
f(y; theta) = theta^2 * (1 + y) * exp(-theta * y) / (1 + theta)*

for *theta > 0* and *y > 0*.
The mean of *Y* (returned as the fitted values)
is *mu = (theta + 2) / (theta * (theta + 1))*.
The variance
is *(theta^2 + 4 * theta + 2) / (theta * (theta + 1))^2*.

An object of class `"vglmff"`

(see `vglmff-class`

).
The object is used by modelling functions such as `vglm`

and `vgam`

.

This VGAM family function can handle multiple responses (inputted as a matrix). Fisher scoring is implemented.

T. W. Yee

Lindley, D. V. (1958)
Fiducial distributions and Bayes' theorem.
*Journal of the Royal Statistical Society, Series B, Methodological*,
**20**, 102–107.

Ghitany, M. E. and Atieh, B. and Nadarajah, S. (2008)
Lindley distribution and its application.
*Math. Comput. Simul.*,
**78**, 493–506.

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