This is the repository for Lecture 05 of the Saint Louis University course SOC 4015/5050 - Quantitative Analysis. This lecture introduces a number of distributions, including the binomial, Poisson, ...

Lecture Notes-Monograph Series, Vol. 22, Stochastic Inequalities (1992), pp. 343-358 (16 pages) This paper concerns results on comparisons of stopping values, and prophet inequalities for dependent ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications is a comprehensive undergraduate-level textbook. With its excellent topical coverage, the focus of this ...

This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...

ABSTRACT: In this paper, we shall present the strong laws of large numbers for fuzzy set-valued random variables in the sense of d∞H . The results are based on the result of single-valued random ...

In this paper, we shall represent a strong law of large numbers (SLLN) for weighted sums of set- valued random variables in the sense of the Hausdorff metric dH, based on the result of single-valued ...

This notebook contains implementations of various machine learning algorithms using Scikit-Learn. Each algorithm is implemented in a separate cell with a brief description of the working steps. Linear ...