Terminates an MCMC run when the effective sample sizes (ESS) of all parameters
exceed the specified value.
The ESS is the number of independent samples generated by a MCMC sampler.
It takes into account the correlation between samples within a chain. Low ESS
values represent high autocorrelation, and consequently more uncertainty
associated with the parameter estimate.
The MCMC analysis will terminate once all parameters in every run meet the ESS
threshold. As such, performing additional runs will not decrease the number
of generations required to meet the ESS threshold, even though it may increase
the number of indepedent samples in the final, pooled posterior sample.
The number of samples to be removed as burnin before calculating the test
statistic is determined using the `burninMethod`. If the `"ESS"` (default) or
`"SEM"` options are chosen, different burnin lengths are tested, increasing
from 0 to 50% (for `"ESS"`) or 100% (for `"SEM"`) of the length of the trace in
increments of 10 samples. The `"ESS"` option calculates effective sample sizes
(ESS) for all monitored parameters after removing the number of samples
corresponding to each candidate burnin length. The best burnin length for a
given parameter is the one that maximizes its ESS value. The `"SEM"` option
instead calculates the standard error of the mean (SEM), and the best burnin
length for a given parameter is the one that minimizes its SEM value. In both
cases, the final burnin length is set to the maximum of the parameter-specific
burnin lengths.
Alternatively, the user may set `burninMethod` to `"fixed"`, which discards a
constant fraction of the samples collected up to that point. This fraction can
be specified using the `burnin` argument, and is set to 0.25 by default. The
`burnin` argument has no effect if the `"ESS"` or `"SEM"` options are chosen,
and a corresponding warning is displayed if the user explicitly sets the
argument without specifying `burninMethod="fixed"`. The `"fixed"` option is
appropriate for analyses with very long parameter traces and large numbers of
monitored variables, for which the automatic burnin determination may be too
computationally demanding.
The [convergence assessment](https://revbayes.github.io/tutorials/convergence/)
tutorial contains a discusson on the calculation and interpretation of the ESS
diagnostic.
# Binomial example: estimate success probability given 7 successes out of 20 trials
r ~ dnExp(10)
p := Probability(ifelse(r < 1, r, 1))
n <- 20
k ~ dnBinomial(n, p)
k.clamp(7)
mymodel = model(k)
moves = VectorMoves()
moves.append( mvSlide(r, delta=0.1, weight=1) )
paramFile = "parameters.log"
monitors = VectorMonitors()
monitors.append( mnModel(filename=paramFile, printgen=100, p) )
# Stop when all monitored parameters have attained an estimated sample size of 50
stopping_rules[1] = srMinESS(50, file = paramFile, freq = 1000)
# Create the MCMC object
mymcmc = mcmc(mymodel, monitors, moves)
# Begin the MCMC run
mymcmc.run(rules = stopping_rules)