The Immune Landscape of Cancer
- V. Thorsson, David L. Gibbs, V. Jakrot
- BiologyImmunity
- 1 April 2018
Mathematical Foundations of Infinite-Dimensional Statistical Models
This chapter discusses nonparametric statistical models, function spaces and approximation theory, and the minimax paradigm, which aims to provide a model for adaptive inference oflihood-based procedures.
Limit Theorems for $U$-Processes
- M. A. Arcones, E. Giné
- Mathematics
- 1 July 1993
A U-process is a collection of U-statistics. Concretely, a U-process over a family H of kernels h of m variables, based on a probability measure P on (S,S), is the collection \(\{…
Comprehensive Characterization of Cancer Driver Genes and Mutations
- Matthew H Bailey, C. Tokheim, A. Mariamidze
- BiologyCell
- 5 April 2018
Bootstrapping General Empirical Measures
It is proved that the bootstrapped central limit theorem for empirical processes indexed by a class of functions F and based on a probability measure P holds a.s. if and only if F CLT (P ) and ∫ F dP…
Rates of strong uniform consistency for multivariate kernel density estimators
- E. Giné, A. Guillou
- Mathematics
- 1 November 2002
Exome sequencing identifies recurrent mutations of the splicing factor SF3B1 gene in chronic lymphocytic leukemia
- V. Quesada, L. Conde, C. López-Otín
- BiologyNature Genetics
- 2012
This work provides the first comprehensive catalog of somatic mutations in CLL with relevant clinical correlates and defines a large set of new genes that may drive the development of this common form of leukemia.
Oncogenic Signaling Pathways in The Cancer Genome Atlas
- F. Sánchez-Vega, Marco Mina, A. Mariamidze
- BiologyCell
- 5 April 2018
Decoupling: From Dependence to Independence
1 Sums of Independent Random Variables.- 1.1 Levy-Type Maximal Inequalities.- 1.2 Hoffmann-J?rgensen Type Inequalities.- 1.3 The Khinchin-Kahane Inequalities.- 1.4 Moment Bounds.- 1.4.1 Maxima.-…
On the Bootstrap of $U$ and $V$ Statistics
- M. A. Arcones, E. Giné
- Mathematics
- 1 June 1992
Bootstrap distributional limit theorems for $U$ and $V$ statistics are proved. They hold a.s., under weak moment conditions and without restrictions on the bootstrap sample size (as long as it tends…
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