8 citations · 11 across the 11 of their papers we have counts for
11 papers
On maximal families of independent sets with respect to asymptotic density
Jonathan M. Keith, Paolo Leonetti
We study families of subsets of which are independent with respect to the asymptotic density . We show, for instance, that there exists a maximal -indep…
Completeness and additive property for submeasures
Jonathan M. Keith, Paolo Leonetti
Given an extended real-valued submeasure defined on a field of subsets of a given set, we provide necessary and sufficient conditions for which the pseudometric defin…
The pseudometric topology induced by upper asymptotic density
Jonathan M. Keith
Upper asymptotic density induces a pseudometric on the power set of the natural numbers, with respect to which is complete. The collection of sets with asymptot…
On the measurability of a numerical function with respect to a family of sets
Jonathan M. Keith, Gabriele H. Greco
The following document is a translation (from French to English) of: Gabriele H. Greco, Sur la mesurabilité d'une fonction numérique par rapport à une famille d'ensembles, Rendicon…
Measurable functions on charge spaces
Jonathan M. Keith
The concept of measurability of functions on a charge space is generalised for functions taking values in a uniform space. Several existing forms of measurability generalise natura…
G-optimal grid designs for kriging models
Subhadra Dasgupta, Siuli Mukhopadhyay, Jonathan Keith
This work is focused on finding G-optimal designs theoretically for kriging models with two-dimensional inputs and separable exponential covariance structures. For design compariso…
Binary sequences with a Cesàro limit
Jonathan M. Keith, Greg Markowsky
The Cesàro limit - the asymptotic average of a sequence of real numbers - is an operator of fundamental importance in probability, statistics and mathematical analysis. To better u…
Properties of functions on a bounded charge space
Jonathan M. Keith
A charge space is a generalisation of a measure space, consisting of a sample space , a field of subsets and a finitely additive measure , a…
A theory of integration for Cesàro limits
Jonathan M. Keith, Greg Markowsky
The Cesàro limit - the asymptotic average of a sequence of real numbers - is an operator of fundamental importance in probability, statistics and analysis. Surprisingly, spaces of…
Sequential Importance Sampling With Corrections For Partially Observed States
Valentina Di Marco, Jonathan Keith
We consider an evolving system for which a sequence of observations is being made, with each observation revealing additional information about current and past states of the syste…
Optimal designs for some bivariate cokriging models
Subhadra Dasgupta, Siuli Mukhopadhyay, Jonathan Keith
This article focuses on the estimation and design aspects of a bivariate collocated cokriging experiment. For a large class of covariance matrices, a linear dependency criterion is…