Description Usage Arguments Details Value References See Also Examples

This function calculates the exponential *d_i* and the uniform (generalized)
residuals *u_i* of a
HPP, using the occurrence points *t_i*.

1 | ```
unifres.fun(posEH)
``` |

`posEH` |
Numeric vector, the occurrence points of a HPP. |

The exponential residuals of a HPP are defined as the inter-event distances
*d_i=t_i-t_{i-1}*, that are an i.i.d. exponential sample. The series
*d_i* is an example of the generalized residuals proposed by Cox and Snell (1968).
The uniform residuals, defined as the function *\exp(-d_i)*
of the exponential residuals, are an i.i.d. uniform sample, see Ogata (1988).

A list with elements

`expres` |
Numeric vector of the exponential residuals. |

`unires` |
Numeric vector of the uniform residuals. |

`posEH` |
Input argument. |

Abaurrea, J., Asin, J., Cebrian, A.C. and Centelles, A.
(2007). Modeling and forecasting extreme heat events in the central
Ebro valley, a continental-Mediterranean area. *Global and
Planetary Change*, 57(1-2), 43-58.

Cebrian, A.C., Abaurrea, J. and Asin, J. (2015). NHPoisson: An R Package for
Fitting and Validating Nonhomogeneous Poisson Processes.
*Journal of Statistical Software*, 64(6), 1-24.

Cox, D. R. and Snell, E. J. (1968). A general definition of residuals.
*Journal of the Royal Statistical Society, series B*, 30(2), 248-275.
83(401), 9-27.

Ogata, Y. (1988). Statistical models for earthquake occurrences and residual
analysis for point processes.*Journal of the American Statistical Association*,
83(401), 9-27.

1 2 3 4 5 6 | ```
## generates the occurrence times of a homogeneours PP with constant intensity 0.01
## and calculates de residuals
aux<-simNHP.fun(lambda=rep(0.01,1000))
res<-unifres.fun(aux$posNH)
``` |

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