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Sorry, I should have though more before posting this question. By the way, the payoff of a call option on VIX index, priced at time $t$, with maturity at time $T$, is $$(VIX_{T} - K)^+$$ and since the time $t$ strike of a VIX futures with same maturity $T$ is F_{t,T} = E^{Q}[VIX_T \big| \mathcal{F}_t] ...

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A very nice book is the following Robust optimization by Ben Tal et al. Not sure if it is to technical, but I liked it a lot! Since it is online available I would give it a try.

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1) Analysis of Financial Time Series by Ruey Tsay 2) An Introduction to Bayesian Inference in Econometrics by Arnold Zellner Not finance specific, but this is the best multivariate stats book I know of: 3) Applied Multivariate Statistical Analysis by Johnson and Wichern

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Elements of Statistical Learning by Hastie, Tibshirani and Friedman is one of the most-cited books for your purpose. Although it does not have any direct applications to Finance, this is definitely a good book to have in your professional library and can be used as a reference for most topics. If you want to use a book with more financial applications, I ...

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I think a good book to start in your case is: Attilio Meucci: Risk and Asset Allocation I once had a seminar held by Attilio that was based on the book and it blew my mind. The book is very intuitive yet rigorous.

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I would highly recommend this books: Mathematics and Statistics for Financial Risk Management: Book 1 The other one, is Chapter three from, Practical Methods of Financial Engineering and Risk Management: Tools for Modern Financial Professionals: Book 2 Hope it helps.

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