15 citations · 19 across the 6 of their papers we have counts for
6 papers
Linear Latent Structure Analysis: from Foundations to Algorithms and Applications
I. Akushevich, M. Kovtun, A. I. Yashin +1
A new statistical technique for constructing linear latent structure (LLS) models from available data, supported by well established theoretical results and an efficient algorithm,…
Convergence of Estimators in LLS Analysis
Mikhail Kovtun, Anatoliy Yashin, Igor Akushevich
We establish necessary and sufficient conditions for consistency of estimators of mixing distribution in linear latent structure analysis.
Continuity of the Mixing Operator
Mikhail Kovtun
Mixed distributions are considered as a results of application of a linear operator, which maps mixing measures to mixed measures. The main result is a proof of continuity of this…
Linear Latent Structure Analysis: Mixture Distribution Models with Linear Constraints
Mikhail Kovtun, Igor Akushevich, Kenneth G. Manton +1
A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, whic…
A New Efficient Algorithm for Construction of LLS Models
Mikhail Kovtun, Igor Akushevich, Kenneth G. Manton +1
We present a new efficient algortithm for construction of linear latent structure (LLS) models. This algorithm reduces a problem of estimation of model parameters to a sequence of…
Grade of Membership Analysis: One Possible Approach to Foundations
Mikhail Kovtun, Igor Akushevich, Kenneth G. Manton +1
Grade of membership (GoM) analysis was introduced in 1974 as a means of analyzing multivariate categorical data. Since then, it has been successfully applied to many problems. The…