The "infinite joy" is found in the elegance of the proofs and theorems that make this possible. It is the satisfaction of understanding the machinery of truth. It is the realization that mathematics can peer around corners and see things that haven't happened yet.
At its heart, mathematical statistics is the study of the random variable . This is a fancy term for a number whose value depends on chance. The simple joy is realizing that randomness is not chaos—it is structure we haven't yet measured. the simple and infinite joy of mathematical statistics pdf