I’m mainly interested in models in probability, with occasional detours into analysis and combinatorics – hopefully the research-centred content of this blog gives a flavour of what I work on. I have recently finished a DPhil (called a PhD at most other places) in the Department of Statistics at Oxford. My supervisors were Christina Goldschmidt and James Martin. I now work at Technion, in Haifa, Israel, where I’m grateful to be supported by a Cohen-Coleman Fellowship.

The aim of this blog is to provide a place for me to write down the sorts of ideas that seemed interesting at the time, but which otherwise would not be preserved. I’m trying to find a tone of ‘careful non-rigour’ – light on convergence technicalities and more based on intuition where possible.

Dominic Yeo

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Hi. I have a quick question for you.

I am a PhD student majoring in statistics. Since I took only introductory mathematical analysis course in undergraduate, I have difficulty with understanding probability theory now, especially measure-related theory. Could you give any comment about any books – better for self-study – or a way to improve knowledge of theoretic probability theory?

Try “Probability and Martingales” by David Williams, or “Probability and Measure” by Patrick Billinglsey. Off the top of my head, I believe both are self-contained. The former is quite brief, and the latter extensive; both are excellent, though Billingsley’s text is my personal favourite and is an absolutely famous book.

Wonderful blog