Advanced statistics book

statistics book-recommendation stochastic-integrals hypothesis-testing

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

Related

What are NP-complete problems and why are they so important?
$(X,\tau)$ needs to be $T_1$ in order to guarantee that $A'$ is closed?
Inequality: $x^2+y^2+xy\ge 0$ [duplicate]
Is this definite integral really independent of a parameter? How can it be shown?
Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear
A question about regularity of Borel measures
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