Description Usage Arguments Details Value References See Also Examples

Sampling from the joint-likelihood functions of finite mixture age models (include the central age model) using a Markov chain Monte Carlo (MCMC) method.

1 2 |

`EDdata` |
matrix( |

`ncomp` |
integer(with default): number of components ( |

`addsigma` |
numeric(with default): additional uncertainty |

`iflog` |
logical(with default): transform equivalent dose values to log-scale or not |

`nsim` |
integer(with default): deseried number of iterations |

`inis` |
list(with default): initial state of parameters. |

`control.args` |
list(with default): arguments used in the Slice Sampling algorithm, see details |

Function mcFMM is used for sampling from the joint-likelihood functions of finite mixture age models (include the central age model) using a Markov chain Monte Carlo sampling algorithm called Slice Sampling (Neal, 2003). Three arguments (`control.args`

) are used for controling the sampling process:

**(1)** *w*: size of the steps for creating an interval from which to sample, default `w=1`

;

**(2)** *m*: limit on steps for expanding an interval, `m<=1`

means no limit on the expandation, `m>1`

means the interval is expanded with a finite number of iterations, default `m=-100`

;

**(3)** *nstart*: maximum number of trials for updating a variable in an iteration. It can be used for monitoring the stability of the simulation. For example, a MAM4 is likely to crash down for data sets with small numbers of data points or less dispersed distributions (see section 8.3 of Galbraith and Roberts, 2012 for a discussion), and sometimes more than one trial (i.e., using `nstart>1`

) is required to complete the sampling process, default `nstart=1`

.

Return an invisible list of S3 class object `"mcAgeModels"`

including the following elements:

`EDdata` |
equivalent dose values |

`addsigma` |
additional uncertainty |

`model` |
fitting model |

`iflog` |
transform equivalent dose values to log-scale or not |

`nsim` |
number of iterations |

`chains` |
simulated samples |

Galbraith RF, Green P, 1990. Estimating the component ages in a finite mixture. International Journal of Radiation Applications and Instrumentation. Part D. Nuclear Tracks and Radiation Measurements, 17: 197-206.

Neal RM, 2003. "Slice sampling" (with discussion). Annals of Statistics, 31(3): 705-767. Software is freely available at http://www.cs.utoronto.ca/~radford/slice.software.html.

mcMAM; reportSAM;

RadialPlotter; EDdata

1 2 3 4 5 | ```
# Not run.
# data(EDdata)
# Construct a MCMC chain for FMM3.
# obj<-mcFMM(EDdata$gl11,ncomp=3,nsim=5000)
# reportSAM(obj,thin=2,burn=1e3)
``` |

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