Asymptotic factorizations for the small–ball probability (SmBP) of a Hilbert–valued random element X are established and discussed. In particular, given the first d principal components (PCs) and as ...

Seventeen hundred golf balls were dropped from nearly 148 feet onto a trampoline below. From the top, it looks controlled. The moment they hit, everything turns chaotic. Balls bounce, scatter, and ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...