Figures

MH algorithm implemented on data from single-cell qPCR experiment 10-3-17 well 253. Marginal posteriors, trace plots and ACF figures are included here. For discussion and analysis of the Markov chain please see Discussion.

Metropolis Hastings 10,000 iterations

$X_0$:

$r$:

$\alpha$:

$\sigma$:

Scatter plot of accepted $X_0$ and $r$ from the posterior:

Metropolis Hastings 100,000 iterations

$X_0$:

$r$:

$\alpha$:

$\sigma$:

Scatter plot of accepted $X_0$ and $r$ from the posterior:

Prior $p(X_0)=U(0,100)$

$X_0$:

$r$:

$\alpha$:

$\sigma$:

Scatter plot of accepted $X_0$ and $r$ from the posterior:

Adaptive Metropolis algorithm 100,000 iterations

$X_0$:

$r$:

$\alpha$:

$\sigma$:

Scatter plot of accepted $X_0$ and $r$ from the posterior: