scholarly journals Pooled Genomic Indexing (PGI): Analysis and Design of Experiments

2004 ◽  
Vol 11 (5) ◽  
pp. 1001-1021 ◽  
Author(s):  
Miklós Csürös ◽  
Aleksandar Milosavljevic
Keyword(s):  
Design Of Experiments ◽  
Analysis And Design ◽  
Genomic Indexing

scholarly journals Pooled Genomic Indexing (PGI): Analysis and Design of Experiments

2004 ◽  
Vol 11 (5) ◽  
pp. 1001-1021 ◽  
Author(s):  
Miklós Csurös ◽  
Aleksandar Milosavljevic
Keyword(s):  
Design Of Experiments ◽  
Analysis And Design ◽  
Genomic Indexing

Sharp Bounds on the Largest of some Linear Combinations of Random Variables with Given Marginal Distributions

1991 ◽  
Vol 5 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Isaac Meilijson
Keyword(s):  
Network Analysis ◽  
Design Of Experiments ◽  
Joint Distribution ◽  
Linear Combinations ◽  
Worst Case ◽  
Marginal Distributions ◽  
Sharp Bounds ◽  
Analysis And Design ◽  
Joint Distributions ◽  
Increasing Functions

Let X be a random vector and A a matrix. Let M be the maximal coordinate of the vector AX. For given marginal distributions of the coordinates of X, we present sharp bounds on the expectations of convex increasing functions of M. We derive joint distributions of X that achieve some of these bounds, and under these “worst case” distributions we study the joint distribution of M and the index of the largest coordinate of AX. Some possible applications are PERT network analysis and design of experiments.

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