Description Usage Arguments Value Note See Also Examples

estimates PH parameters from grouped data.

1 2 3 |

`ph` |
an object of S4 class for MAP. The estimation algorithm is selected depending on thie class. |

`counts` |
a vector of the number of points in intervals. |

`breaks` |
a vector for a sequence of points of boundaries of intervals. This is equivalent to |

`intervals` |
a vector of time lengths for intervals. This is equivalent to |

`instant` |
a vector of integers to indicate whether sample is drawn at the last of interval. If instant is 1, a sample is drawn at the last of interval. If instant is 0, no sample is drawn at the last of interval. By using instant, point data can be expressed by grouped data. If instant is missing, it is given by |

`method` |
the name of estimation method for hyper Erlang ( |

`lbound` |
a value for lower limit for the number of states in hyper Erlang ( |

`ubound` |
a value for upper limit for the number of states in hyper Erlang ( |

`control` |
a list of parameters for controlling the fitting process. |

`verbose` |
a list of parameters for displaying the fitting process. |

`...` |
further arguments for methods. |

returns a list with components, which is an object of S3 class `phfit.result`

;

`model` |
an object for estimated PH class ( |

`llf` |
a value of the maximum log-likelihood. |

`df` |
a value of degrees of freedom of the model. |

`aic` |
a value of Akaike information criterion. |

`iter` |
the number of iterations. |

`convergence` |
a logical value for the convergence of estimation algorithm. |

`ctime` |
computation time (user time). |

`data` |
an object for MAP data class |

`aerror` |
a value of absolute error for llf at the last step of algorithm. |

`rerror` |
a value of relative error for llf at the last step of algorithm. |

`control` |
a list of the argument of |

`verbose` |
a list of the argument of |

`call` |
the matched call. |

In this method, we can handle truncated data using `NA`

and `Inf`

;

`phfit.group(ph=cf1(5), counts=c(countsdata, NA), breaks=c(breakdata, +Inf))`

`NA`

means missing of count data at the conrredponding interval, and `Inf`

ia allowed to put
the last of breaks or intervals which represents a special interval [the last break point,infinity).

`phfit.point`

, `phfit.density`

, `ph`

, `cf1`

and `herlang`

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | ```
## make sample
wsample <- rweibull(n=100, shape=2, scale=1)
wgroup <- hist(x=wsample, breaks="fd", plot=FALSE)
## PH fitting for general PH
(result1 <- phfit.group(ph=ph(2), counts=wgroup$counts,
breaks=wgroup$breaks))
## PH fitting for CF1
(result2 <- phfit.group(ph=cf1(2), counts=wgroup$counts,
breaks=wgroup$breaks))
## PH fitting for hyper Erlang
(result3 <- phfit.group(ph=herlang(3), counts=wgroup$counts,
breaks=wgroup$breaks))
## mean
ph.mean(result1$model)
ph.mean(result2$model)
ph.mean(result3$model)
## variance
ph.var(result1$model)
ph.var(result2$model)
ph.var(result3$model)
## up to 5 moments
ph.moment(5, result1$model)
ph.moment(5, result2$model)
ph.moment(5, result3$model)
``` |

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