Advanced statistics book

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I have a good background of statistics but during my researches I realized that I don't have a sound and proper knowledge of some advanced statistics topics such as:

  • hypothesis tests like chi-square, f, granger (I stop at normal and t-student tests)
  • special functions like Gamma, Beta and company
  • ANOVA
  • random variable in the framework of Ito integral

I would like to have a suggestion to buy one/two good books concerning these topics.

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Statistical Inference by Casella and Berger might get you started on the first three topics.