activity
20142023
most citedOptimal method in multiple regression with structural changes

22 citations · 26 across the 8 of their papers we have counts for

collaborators

8 papers

math.ST2023

Improved Gaussian Mean Matrix Estimators In High-Dimensional Data

Arash A. Foroushani, Severien Nkurunziza

In this paper, we introduce a class of improved estimators for the mean parameter matrix of a multivariate normal distribution with an unknown variance-covariance matrix. In partic…

math.ST2023★ 1 cited

A Note on Improved Multivariate Normal Mean Estimation With Unknown Covariance When p Is Greater Than n

Arash A. Foroushani, Severien Nkurunziza

In this paper, we highlight a major error in the proofs of the important results of [D.Chételat and M. T. Wells(2012). Improved Multivariate Normal Mean Estimation with Unknown Cov…

math.ST2017

On convergence of the sample correlation matrices in high-dimensional data

Sévérien Nkurunziza, Yueleng Wang

In this paper, we consider an estimation problem concerning the matrix of correlation coefficients in context of high dimensional data settings. In particular, we revisit some resu…

math.ST2017

On the joint asymptotic distribution of the restricted estimators in multivariate regression model

Sévérien Nkurunziza, Youzhi Yu

The main Theorem of Jain et al.[Jain, K., Singh, S., and Sharma, S. (2011), Re- stricted estimation in multivariate measurement error regression model; JMVA, 102, 2, 264-280] is es…

math.ST2016

Determination of a structural break in a mean-reverting process

Fuqi Chen, Rogemar Mamon, Severien Nkurunziza

Determining accurately when regime and structural changes occur in various time-series data is critical in many social and natural sciences. We develop and show further the equival…

math.ST2015★ 22 cited

Optimal method in multiple regression with structural changes

Fuqi Chen, Sévérien Nkurunziza

In this paper, we consider an estimation problem of the regression coefficients in multiple regression models with several unknown change-points. Under some realistic assumptions,…

stat.ME2015★ 3 cited

On Combining Estimation Problems Under Quadratic Loss: A Generalization

Severien Nkurunziza

The main theorem in Judge and Mittelhammer [Judge, G. G., and Mittelhammer, R. (2004), A Semiparametric Basis for Combining Estimation Problems under Quadratic Loss; JASA, 99, 466,…

stat.ME2014

A short note on model selection by LASSO methods in a change-point model

Fuqi Chen, Sévérien Nkurunziza

In Ciuperca (2012) (Ciuperca. Model selection by LASSO methods in a change-point model, Stat. Papers, 2012; (in press)), the author considered a linear regression model with multip…