# Survival function estimator for recurrence time data using the estimator
developed by Pea, Strawderman and Hollander

### Description

Estimation of survival function for recurrence time data by means the generalized product limit estimator (PLE) method developed by Pe a, Strawderman and Hollander. The resulting object of class "survfitr" is plotted by ‘plot.survfitr’, before it is returned.

### Usage

1 | ```
psh.fit(x,tvals)
``` |

### Arguments

`x` |
a survival recurrent event object |

`tvals` |
vector of times where the survival function can be estimated. |

### Details

The estimator computed by this object is the nonparametric estimator of the inter-event time survivor function under the assumption of a renewal or IID model. This generalizes the product-limit estimator to the situation where the event is recurrent. For details and the theory behind this estimator, please refer to Pe\~na, Strawderman and Hollander (2001, JASA).

### Value

`n` |
number of unit or subjects observed. |

`m` |
vector of number of recurrences in each subject (length n). |

`failed` |
vector of number of recurrences in each subject (length n*m). Vector ordered (e.g. times of first unit, times of second unit, ..., times of n-unit) |

`censored` |
vector of times of censorship for each subject (length n). |

`numdistinct` |
number of distinct failures times |

`distinct` |
vector of distinct failures times |

`AtRisk` |
matrix of number of persons-at-risk at each distinct time and for each subject |

`survfunc` |
vector of survival estimated in distinct times |

`tvals` |
copy of argument |

`PSHpleAttvals` |
vector of survival estimated in tvals times |

### References

Pe<f1>a, E.A., Strawderman, R. and Hollander, M. (2001). Nonparametric Estimation with Recurrent Event Data. *J. Amer. Statist. Assoc* **96**, 1299-1315.

### See Also

`survfitr`

`Survr`

### Examples

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