38 citations · 66 across the 28 of their papers we have counts for
9 papers · 1 filter
Differential Privacy Over Riemannian Manifolds
Matthew Reimherr, Karthik Bharath, Carlos Soto
In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-no…
Distribution on Warp Maps for Alignment of Open and Closed Curves
Karthik Bharath, Sebastian Kurtek
Alignment of curve data is an integral part of their statistical analysis, and can be achieved using model- or optimization-based approaches. The parameter space is usually the set…
Spacings Around An Order Statistic
H. N. Nagaraja, Karthik Bharath, Fangyuan Zhang
We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or an extreme order statistic of a random sample of size from a cont…
Statistical Tests for Large Tree-structured Data
Karthik Bharath, Prabhanjan Kambadur, Dipak. K. Dey +2
We develop a general statistical framework for the analysis and inference of large tree-structured data, with a focus on developing asymptotic goodness-of-fit tests. We first propo…
On a Clustering Criterion for Dependent Observations
Karthik Bharath
A univariate clustering criterion for stationary processes satisfying a -mixing condition is proposed extending the work of \cite{KB2} to the dependent setup. The approach is ch…
Can Tests for Jumps be Viewed as Tests for Clusters?
Karthik Bharath, Vladimir Pozdnyakov, Dipak. K. Dey
We investigate the utility in employing asymptotic results related to a clustering criterion to the problem of testing for the presence of jumps in financial models. We consider th…