A primary justification for Bayesian probability is De Finetti's representation theorem, which is stated like this. You are to observe a sequence of 0s and 1s, "failures" and "successes" if…

In no way is this article meant to be complete. It is more in the way of musings---a crude introduction---so that we can see where to go. Is the universe…

Since I am, by nature, a compassionate individual, I had been thinking of how we might Sokal the Proceedings of the National Academy of Science (PNAS). It is for their…

Read Part I first. We are in the peek first game here. The distribution of N When X is odd, and all X are discrete, we know we should always…

Another probability "paradox", the two-envelope problem1, goes like this: Before you are two envelopes, A and B. One of them contains $X and the other $2X (which is equivalent to…

One reason why some reject the notions of logical probability and Bayesian statistics is because it is said that assignments of probability under symmetry generate paradoxes. However, as I will…

In so far as I have a coherent philosophy of statistics, I hope it is "robust" enough to cope in principle with the whole of statistics, and sufficiently undogmatic not…