I am first enlightened by the Theorem 10.3 from Sheldon Ross's Book \textit{Introduction to probability models} which states that for $M(t) = \max\limits_{0\leq y ...

"# Show that the conditional probability of a head on a specified trial, given a total of $k$ heads over the $n$ trials is $\\frac{k}{n}$" "## This is essentially the ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Thomas J Catalano is a CFP and Registered ...

We elaborate on an alternative representation of conditional probability to the usual tree diagram. We term the representation “turtleback diagram” for its resemblance to the pattern on turtle shells.

Abstract: Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete ...

We prove large and moderate deviation principles for the distribution of an empirical mean conditioned by the value of the sum of discrete i.i.d. random variables. Some applications for combinatoric ...

Abstract: This paper presents a hierarchical planning architecture that generates vehicle trajectories that adapt to uncertain, spatially-varying disturbance forces toward enhanced tracking ...