chrono_Gauss {ArchaeoChron}R Documentation

Bayesian chronologies of Gaussian dates

Description

Bayesian modeling for combining Gaussian dates. These dates are assumed to be contemporaneous of the event date. The posterior distribution is sampled by a MCMC algorithm as well as those of all parameters of the Bayesian model.

Usage

chrono_Gauss(M, s, refYear=NULL, studyPeriodMin, studyPeriodMax, 
        numberChains = 2, numberAdapt = 10000, numberUpdate = 10000, 
        variable.names = c("theta"), numberSample = 50000, thin = 10)

Arguments

M

vector of measurement

s

vector of measurement errors

refYear

vector of year of reference for ages for coversion into calendar dates

studyPeriodMin

numerical value corresponding to the start of the study period in BC/AD format

studyPeriodMax

numerical value corresponding to the end of the study period in BC/AD format

numberChains

number of Markov chains simulated

numberAdapt

number of iterations in the Adapt period of the MCMC algorithm

numberUpdate

number of iterations in the Update period of the MCMC algorithm

variable.names

names of the variables whose Markov chains are kept

numberSample

number of iterations in the Acquire period of the MCMC algorithm

thin

step between consecutive iterations finally kept

Value

This function returns a Markov chain of the posterior distribution. The MCMC chain is in date format BC/AD, that is the reference year is 0. Only values for the variables defined by 'variable.names' are given.

Author(s)

Anne Philippe & Marie-Anne Vibet

Examples

  ### simulated data (see examples(chronoEvent_Gauss))
  
  # Number of events 
  Nevt  = 3 
  # number of dates by events  
  measurementsPerEvent = c(2,3,2)
  # positions 
  pos = 1 + c(0, cumsum(measurementsPerEvent) ) 
  
  # simulation of data    
  theta.evt = seq(1,10, length.out= Nevt)

  theta = NULL 
  for(i in 1:Nevt ){
    theta = c(theta, rep(theta.evt[i],measurementsPerEvent[i])) 
    } 
    
  s = seq(1,1, length.out= sum(measurementsPerEvent)) 
  
  M=NULL 
  for( i in 1:sum(measurementsPerEvent)){
    M= c(M, rnorm(1, theta[i], s[i] ))
    }  
  
  MCMCSample = chrono_Gauss(M, s, studyPeriodMin=-10, studyPeriodMax=30)
  plot(MCMCSample)

[Package ArchaeoChron version 0.1 Index]