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The importance of distinct modeling strategies for gene and gene-specific treatment effects in hierarchical models for microarray data
Diffierential expression EM algorithm hierarchical models random effects uncertainty
2012/11/23
When analyzing microarray data, hierarchical models are often used to share information across genes when estimating means and variances or identifying differential expression. Many methods utilize so...
Distinct zeros and simple zeros of Dirichlet $L$-functions
simple zeros distinct zeros Dirichlet L-function
2012/6/29
We study the number of distinct zeros and simple zeros of Dirichlet $L$-function by using Asymptotic Large Sieve in this paper. In asymptotic terms, we prove that there are more than 66.43% of zeros o...
Permutations all of whose patterns of a given length are distinct
Permutations a given length distinct Combinatorics
2012/6/21
For each integer k >= 2, let F(k) denote the largest n for which there exists a permutation \sigma \in S_n, all of whose patterns of length k are distinct. We prove that F(k) = k + \lfloor \sqrt{2k-3}...
Congruences for Bipartitions with Odd Parts Distinct
partition bipartition congruence birank
2014/6/3
Hirschhorn and Sellers studied arithmetic properties of the number of partitions with odd parts distinct. In another direction, Hammond and Lewis investigated arithmetic properties of the number of bi...
In this paper, we prove that a set of $N$ points in ${\bf R}^2$ has at least $c{N \over \log N}$ distinct distances, thus obtaining the sharp exponent in a problem of Erd\"os. We follow the set-up of...
Simple examples of distinct Liouville-type symplectic structures
distinct Liouville-type symplectic structures math
2010/11/11
We discuss some examples of open manifolds which admit non-isomorphic symplectic structures of Liouville type
Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties
conical hull intersection property Bounded Linear Regularity Distinct Properties
2009/1/16
Bounded linear regularity, the strong conical hull intersection property (strong CHIP), and the conical hull intersection property (CHIP) are properties of a collection of finitely many closed conve...
Vaccination Strategies of Population Groups with Distinct Perceived Probabilities of Infection
Vaccination strategies games Population dynamics Dynamical systems and games
2010/1/22
Previous modelling studies have formalized the "Tragedy of the Commons" that can occur under a voluntary vaccination policy, when there is a significant payoff not to vaccinate under conditions where ...