calc_x_posterior: Calculate the posterior density of x
In MichaelHoltonPrice/yada: Yet Another Demographic Analysis package

Calculate the posterior probability p(x|y,theta_x,theta_y) for the mixed cumulative probit model at the points in xcalc given the response vector y. The calculation is for a single observation. If the normalization is done, xcalc is assumed to be evenly spaced.

calc_x_posterior(
  y,
  th_x,
  th_y,
  mod_spec,
  xcalc = c(),
  normalize = T,
  seed = NA
)

`y`	The response vector for a single observation
`th_x`	Parameterization for prior on x
`th_y`	Parameterization for likelihood
`mod_spec`	The model specification
`xcalc`	A vector of ages at which to calculate the posterior probability
`normalize`	Whether or not to normalize to integrate to 1 (default: TRUE).
`seed`	An optional input seed to make sampling reproducibile (default: NA, not used)