new typos in Monte Carlo Statistical Methods

Thanks to Jay Bartroff for pointing out those typos after teaching from Monte Carlo Statistical Methods:

  • On page 52, the gamma Ga(α, β) distribution uses β as a rate parameter while in other places it is a scale parameter, see, e.g. eqn (2.2) [correct, I must say the parameterisation of the gamma distribution is a pain and, while we tried to homogenise the notation with the second parameter being the rate, there are places like this where either the rate convention (as in the exponential distribution) or the scale convention (as in the generation) is the natural one…]
  • Still on page 52, in Example 2.20, truncated normals are said to be discussed after Example 1.5, but they’re not. [There is a mention made of constrained parameters right after but this is rather cryptic!]
  • On page 53, the ratio f/gα following the second displayed eqn is missing some terms [or, rather, the equality sign should be a proportional sign]
  • Still on page 53, in eqn (2.11), the whole expression, rather than the square root, should be divided by 2 [yes, surprising typo given that it was derived correctly in the original paper!]
  • On page 92, the exact constraint is that supp(g) actually needs only contain the intersection of supp(f) and supp(h), such as when approximating tail probabilities [correct if the importance sampling method is only used for a single function h, else the condition stands as is]
  • On page 94, fY does not need that integral in the denominator [correct, we already corrected for the truncation by subtracting 4.5 in the exponential]
  • On page 114, Problem 3.22, ωi is missing a factor of 1/n [correct]
  • On page 218, in Example 6.24, P00=0 [indeed, our remark that Pxx>0 should start with x=1. Note that this does not change the aperiodicity, though]
  • On page 282, the log α after the 2nd displayed equation should be eα [correct, this was pointed out in a previous list of typos, but clearly not corrected in the latest printing!]
  • On page 282, in the 5th displayed equation there are missing factors π(α’|b)/π(α0|b) in rejection probability [actually, no, because, those terms being both proposals and priors, they cancel in the ratio. We could add a sentence to this effect to explain why, though.]
  • On page 634, the reference page for exponential distribution is mistakenly given as 99 [wow, very thorough reading! There is an exponential distribution involved on page 99 but I agree this is not the relevant page…]

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