7 papers
Fused Lasso Nearly Isotonic Signal Approximation in General Dimensions
Vladimir Pastukhov
In this paper we introduce and study fused lasso nearly-isotonic signal approximation, which is a combination of fused lasso and generalized nearly-isotonic regression. We show how…
Grenander--Stone estimator: stacked constrained estimation of a discrete distribution over a general directed acyclic graph
Vladimir Pastukhov
In this paper we integrate isotonic regression with Stone's cross-validation-based method to estimate a distribution with a general countable support with a partial order relation…
Stacked Grenander and rearrangement estimators of a discrete distribution
Vladimir Pastukhov
In this paper we consider the stacking of isotonic regression and the method of rearrangement with the empirical estimator to estimate a discrete distribution with an infinite supp…
Estimating the distribution of marks of a homogeneous marked Poisson process
Dragi Anevski, Vladimir Pastukhov
In this paper we propose an estimator of the distribution of events of different kinds in a homogeneous Poisson process. We give an explicit solution for the maximum likelihood est…
The asymptotic distribution of the isotonic regression estimator over a general countable pre-ordered set
Dragi Anevski, Vladimir Pastukhov
We study the isotonic regression estimator over a general countable pre-ordered set. We obtain the limiting distribution of the estimator and study its properties. It is proved tha…
Estimating a monotone probability mass function with known flat regions
Dragi Anevski, Vladimir M. Pastukhov
We propose a new estimator of a discrete monotone probability mass function with known flat regions. We analyse its asymptotic properties and compare its performance to the Grenand…