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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Regional inequality in China during its rise as a giant exporter: A value chain analysis
中国 出口大国 区域不平等 价值链分析
2023/4/27
China's exports success has implications for regional income inequality, because most of its export products are manufactured in the coastal zone. We propose a value chain-based accounting framework t...
Income Inequality and Early Nonmarital Childbearing
Income Inequality Early Nonmarital Childbearing
2016/3/3
Using individual-level data from the United States, we empirically investigate the role of lower-tail income inequality in determining rates of early nonmarital childbearing among low socioeconomic st...
Accounting for Expectational and Structural Error in Binary Choice Problems: A Moment Inequality Approach
discrete choice models moment inequalities entry models
2015/7/17
Many economic decisions involve a binary choice - for example, when consumers decide to purchase a good or when rms decide to enter a new market.
In such settings, agents' choices often depend on im...
Determinant Maximization with Linear Matrix Inequality Constraints
Determinant Maximization Linear Matrix Inequality Constraints
2015/7/10
The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment desig...
Hoeffding’s Inequality for Uniformly Recurrent Markov Chains
Hoeffding's inequality Markov chains Large deviations
2015/7/8
We provide a generalization of Hoeffding’s inequality to partial sums that are derived from a uniformly ergodic Markov chain. Our exponential inequality on the deviation of these sums from their expec...
On some interrelations of generalized $q$-entropies and a generalized Fisher information, including a Cramér-Rao inequality
Cramér-Rao inequality generalizedq-entropy generalized Gaussians de Bruijn identity
2013/6/17
In this communication, we describe some interrelations between generalized $q$-entropies and a generalized version of Fisher information. In information theory, the de Bruijn identity links the Fisher...
A simple proof for the multivariate Chebyshev inequality
Chebyshev (Tchebychev) inequality Mahalanobis distance Principal compo-nents Ellipsoid
2013/6/14
In this paper a simple proof of the Chebyshev's inequality for random vectors obtained by Chen (arXiv:0707.0805v2, 2011) is obtained. This inequality gives a lower bound for the percentage of the popu...
Graphical methods for inequality constraints in marginalized DAGs
Graphical methods inequality constraints marginalized DAGs
2012/11/22
We present a graphical approach to deriving inequality constraints for directed acyclic graph (DAG) models, where some variables are unobserved. In particular we show that the observed distribution of...
A proof of Bell's inequality in quantum mechanics using causal interactions
Interactions interference local reality quantum physics
2012/9/19
We give a simple proof of Bell’s inequality in quantum mechanics which, in conjunction with experiments, demonstrates that the local hidden variables assumption is false. The proof sheds light on rela...
A note on a maximal Bernstein inequality
Bernstein inequality dependent sums maximal inequality mixing
2011/7/19
We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also valid.
A simple variance inequality for U-statistics of a Markov chain with applications
U-statistics Markov chains Inequalities Limit theorems
2011/7/19
We establish a simple variance inequality for U-statistics whose underlying sequence of random variables is an ergodic Markov Chain.
TRADE LIBERALIZATION, POVERTY AND INEQUALITY: EVIDENCE FROM INDIAN DISTRICTS
TRADE LIBERALIZATION POVERTY AND INEQUALITY INDIAN DISTRICTS
2010/11/5
Although it is commonly believed that trade liberalization results in higher GDP, little is known about its effects on poverty and inequality. This paper uses the sharp trade liberalization in India i...
When the Cramer-Rao Inequality provides no information
Cramer-Rao Inequality Pareto distribution power law
2010/4/27
We investigate a one-parameter family of probability densities (related to the
Pareto distribution, which describes many natural phenomena) where the Cram´er-Rao inequality
provides no informa...
Speech patterns differ substantially between whites and many African Americans. I collect and analyze speech data to understand the role that speech may play in explaining racial wage differences. Amo...
Bayesian analysis in moment inequality models
Identified region limited information likelihood consistent setestimation maximum posterior model and moment selection
2010/3/9
This paper presents a study of the large-sample behavior of the
posterior distribution of a structural parameter which is partially
identified by moment inequalities. The posterior density is derive...