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, ...
What is the issue when we study a continuous variable? Why is it different from a discrete variable? What are the possible solutions?
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 ...
Spacings (that is, the differences between successive order statistics) are useful in various applications in statistics. Many properties of the spacing are known when the spacings are constructed ...
Let $X_1, X_2, \cdots$ be a sequence of i.i.d. random vectors taking values in a space $V$, let $\bar{X}_n = (X_1 + \cdots + X_n)/n$, and for $J \subset V$ let $a_n(J ...
What is happening when water in a pot begins to boil? And what happens when the boiling water turns into steam? Yes, the water is getting hotter but what is exactly is going on when something jumps ...
Balancing false discovery rate (FDR) control with high statistical power is a central challenge in high-dimensional variable selection. Existing methods often degrade data through knockoffs or ...