6 citations · 11 across the 18 of their papers we have counts for
23 papers
Geometric approximation for the number of returns of a transient Markov chain to its origin
Fraser Daly, Seva Shneer
Given a discrete-time, transient Markov chain, we establish explicit total variation error bounds in the approximation of the number of visits to its starting state within the firs…
Rates of convergence for extremal spacings in Kakutani's random interval-splitting process
Fraser Daly, Andrew Wade
Kakutani's random interval-splitting process iteratively divides, via a uniformly random splitting point, the largest sub-interval in a partition of the unit interval. The length o…
Stein's method for asymmetric Laplace approximation
Fraser Daly, Robert E. Gaunt, Heather L. Sutcliffe
Motivated by its appearance as a limiting distribution for random and non-random sums of independent random variables, in this paper we develop Stein's method for approximation by…
Approximations for the number of maxima and near-maxima in independent data
Fraser Daly
In the setting where we have independent observations of a random variable , we derive explicit error bounds in total variation distance when approximating the number of obs…
Biasing with an independent increment: Gaussian approximations and proximity of Poisson mixtures
Fraser Daly
By exploiting the well-known observation that size-biasing or zero-biasing an infinitely divisible random variable may be achieved by adding an independent increment, combined with…
On geometric-type approximations with applications
Fraser Daly, Claude Lefèvre
We explore two aspects of geometric approximation via a coupling approach to Stein's method. Firstly, we refine precision and increase scope for applications by convoluting the app…