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Comments on: High-dimensional simultaneous inference with the bootstrap
(Sociedad de Estadistica e Investigacion OperativaTest, 2017-12-01)
We congratulate the authors on their stimulating contribution to the burgeoning high-dimensional inference literature. The bootstrap offers such an attractive methodology in these settings, but it is well-known that its ...
Marginalization and conditioning for LWF chain graphs
(Institute of Mathematical StatisticsAnnals of Statistics, 2016-08)
In this paper, we deal with the problem of marginalization over and conditioning on two disjoint subsets of the node set of chain graphs (CGs) with the LWF Markov property. For this purpose, we define the class of chain ...
A Paley-like graph in characteristic two
(Journal of Combinatorics, 2016)
The Paley graph is a well-known self-complementary pseudo-random graph, defined over a finite field of odd order. We describe an attempt at an analogous construction using fields of even order. Some properties of the graph ...
Bounding cohomology for low rank algebraic groups
(University of CambridgeDPMMSHomerton, 2017-08-01)
Let G be a semisimple linear algebraic group over an algebraically closed field of prime characteristic. In this thesis we outline the theory of such groups and their cohomology. We then concentrate on algebraic groups in ...
K-stability for Kähler manifolds
(International PressMathematical Research Letters, 2017-09)
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi functional being bounded below (resp. ...
Simple Containers for Simple Hypergraphs
(Cambridge University PressCombinatorics Probability and Computing, 2016-05-01)
We give an easy method for constructing containers for simple hypergraphs. The method also has consequences for non-simple hypergraphs. Some applications are given; in particular, a very transparent calculation is offered ...
Statistical issues in Mendelian randomization: use of genetic instrumental variables for assessing causal associations
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsMRC Biostatistics Unit, 2012-03-06)
Mendelian randomization is an epidemiological method for using genetic variation
to estimate the causal effect of the change in a modifiable phenotype on
an outcome from observational data. A genetic variant satisfying ...
Unipotent elements in algebraic groups
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2012-01-10)
This thesis is concerned with three distinct, but closely related, research topics focusing on the unipotent elements of a connected reductive algebraic group G, over an algebraically closed field k, and
nilpotent elements ...
Problems of optimal choice on posets and generalizations of acyclic colourings
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2011-06)
NOTE : The mathematical symbols in the abstract do not always display correctly in this text field. Please see the abstract in the thesis for the definitive abstract. ABSTRACT: This dissertation is in two parts, each ...
Collaborating queues: large service network and a limit order book
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsEmmanuel CollegeStatistics Laboratory, 2012-10-09)
We analyse the steady-state behaviour of two different models with collaborating queues: that is, models in which "customers" can be served by many types of "servers", and "servers" can process many types of "customers".
The ...