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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved Approximation Ratios of Fixed-Price Mechanisms in Bilateral Trades
双边贸易 固定价格机制 近似比率
2023/4/18
We study the performance of fixed-price mechanisms in the bilateral trade problem. We improve the approximation ratios of welfare-optimal mechanisms in several settings. In particular, when we have on...
An elliptic curve test of the L-Functions Ratios Conjecture
An elliptic curve test the L-Functions Ratios Conjecture
2010/11/19
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in the 1-level densit...
Infinitesimal Liouville currents, cross-ratios and intersection numbers
Infinitesimal Liouville currents cross-ratios intersection numbers
2010/12/8
Many classical objects on a surface S can be interpreted as cross-ratio functions on the circle at infinity of the universal covering eS.This includes closed curves considered up to homotopy, metrics ...
Inequalities for convolution ratios under local approximation
Inequalities Convolution ratios Local limit theorems
2010/9/14
This paper studies preservation of the convolution property under locally approximating functions for sums of independent random variables. Upper and lower bounds for limits of convolution ratios are ...
Bankruptcy prediction of Turkish commercial banks using financial ratios
bank bankruptcy financial ratios logistic regression
2010/9/14
In the last few years Turkey experienced a serious financial crisis.In the aftermath of this crisis, immediate economic effects of the crisis were felt almost in all areas of the business world, and s...
The distributions of sums, products and ratios of inverted bivariate beta distribution
Bivariate inverted beta distributions Sums Ratios Percentiles
2010/9/14
In this paper we derive the exact distributions of sums, products, and ratios of two random variables when they follow the bivariate inverted beta distribution. Forms of the probability density functi...
A Monotonicity Property of Ratios of Symmetric Homogeneous Means
Monotonicity Strong inequalities Extended mean values Gini's mean Seiffert's mean Relative metrics
2008/7/3
We study a certain monotonicity property of ratios of means, which we call a strong inequality. These strong inequalities were recently shown to be related to the so-called relative metric. We also us...
Monotonicity of Ratios Involving Incomplete Gamma Functions with Actuarial Applications
Gamma function Monotonicity Weighted distributions Tail expectations
2010/1/22
Ratios involving incomplete gamma functions and their monotonicity properties play important roles in financial risk analysis. We derive desired monotonicity properties either using Pinelis' Calculus ...
Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios
multiscale elliptic problems domain decomposition
2007/12/11
In this paper we study some nonoverlapping domain decomposition methods for solving a class of elliptic problems arising from composite materials and flows in porous media which contain many spatial s...