Best book on mathematical statistics

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For those seeking a solid foundation in mathematical statistics, several recommended texts include "Statistics in Plain English" by Timothy C. Urdan and "Introductory Statistics" by Neil A. Weiss, both suitable for math and engineering students. Advanced learners may benefit from "A First Course in Mathematical Statistics" by C. E. Weatherburn and "Statistical Inference" by Casella and Berger. Additional resources include "Mathematical Handbook for Scientists and Engineers" by Granino A. Korn and "Theoretical Statistics" by D. R. Cox. The MIT OpenCourseWare also offers valuable materials for further study. These books provide a comprehensive understanding of mathematical statistics for various academic levels.
DrunkenPhD
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Hi
Please advice me a good book on mathematical statistics.I want it to be oriented in math students or engineering level.
Best Regards
 
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Intro:Statistics in Plain English, Third Edition by Timothy C. Urdan
Introductory Statistics by Neil A. Weiss
Statistics, 4th Edition by David Freedman, Robert Pisani and Roger Purves
advanced: A First Course Mathematical Statistics C. E. Weatherburn
Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and
by Granino A. Korn, Theresa M. Korn
Theoretical Statistics by D. R. Cox
http://ocw.mit.edu/courses/mathematics/18-466-mathematical-statistics-spring-2003/index.htm
Casella and Berger's Statistical Inference
 
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Thread 'Formal derivation of statement from Peano Arithmetic system'

I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...
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