1 citations · 1 across the 11 of their papers we have counts for
11 papers
Uniform Approximation of Continuous Functions by Nontrivial Simple Functions
Yu-Lin Chou
We prove that every nonnegative continuous real-valued function on a given compact metric space is the uniform limit of some increasing sequence of nonnegative simple functions bei…
An Intrinsic Treatment of Stochastic Linear Regression
Yu-Lin Chou
Linear regression is perhaps one of the most popular statistical concepts, which permeates almost every scientific field of study. Due to the technical simplicity and wide applicab…
On Almost Uniform Continuity of Borel Functions on Polish Metric Spaces
Yu-Lin Chou
We show that, on any given finite Borel measure space with the ambient space being a Polish metric space, every Borel real-valued function is almost a bounded, uniformly continuous…
Sensitive Random Variables are Dense in Every
Yu-Lin Chou
We show that, for every and for every Borel probability measure over , every element of $L^{p}(\mathbb{R}, \mathscr{B}_{\mathbb{R}}, \…
Change of Measures for Spectral Stochastic Integrals
Yu-Lin Chou
Under mild conditions, it is possible to obtain, from almost purely measure-theoretic considerations and without any specific reference to stochastic processes, a change-of-measure…
A Remark on Lebesgue Criterion
Yu-Lin Chou
We remark a variant of the existence part of the fundamental theorem of calculus, which, together with the Lebesgue differentiation theorem, constitute a new proof that every Riema…
Some Remarks on Hausdorff Measurability of Lipschitz Images in Metric Spaces
Yu-Lin Chou
In this short note, we show that, in any given metric space, every Lipschitz open-map image of every subset of a given metric space whose boundary is Hausdorff-null is Hausdorff-me…
Generalization and New Proof for Almost Everywhere Convergence to Imply Local Convergence in Measure
Yu-Lin Chou
With a new proof approach we prove in a more general setting the classical convergence theorem that almost everywhere convergence of measurable functions on a finite measure space…
Tail Probability and Divergent Series
Yu-Lin Chou
From mostly a measure-theoretic consideration, we show that for every nonnegative, finite, and function on a given finite measure space there is some nontrivial sequence of…
A New Proof for a Strong Law of Large Numbers of Kolmogorov's Type via Weak Convergence
Yu-Lin Chou
In terms of the Dirac representation of sample mean and the weak convergence of empirical distributions that holds almost surely, we construct a new proof for a strong law of large…
Fermat's Equation Has No Solution with Some Prime Components
Yu-Lin Chou
Within the scope of elementary number theory, we prove that, as the main result, if are integers such that at least one of is prime then $x^{n}+y^{n}…