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This paper proposes methods for likelihood-based inference in multivariate linear regressions when the correlation matrix of the responses is separable; that is, it has a Kronecker product structure, but the variances are unrestricted. The…

Computation · Statistics 2026-04-16 Karl Oskar Ekvall

While most of the convergence results in the literature on high dimensional covariance matrix are concerned about the accuracy of estimating the covariance matrix (and precision matrix), relatively less is known about the effect of…

Statistics Theory · Mathematics 2013-11-13 Jushan Bai , Yuan Liao

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

Multivariate functional data that are cross-sectionally compositional data are attracting increasing interest in the statistical modeling literature, a major example being trajectories over time of compositions derived from cause-specific…

Methodology · Statistics 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

Various stochastic models have been proposed to estimate mortality rates. In this paper we illustrate how machine learning techniques allow us to analyze the quality of such mortality models. In addition, we present how these techniques can…

Applications · Statistics 2017-05-10 Philippe Deprez , Pavel V. Shevchenko , Mario V. Wüthrich

The assumption of separability is a simplifying and very popular assumption in the analysis of spatio-temporal or hypersurface data structures. It is often made in situations where the covariance structure cannot be easily estimated, for…

Methodology · Statistics 2019-01-03 Pramita Bagchi , Holger Dette

We investigate joint modeling of longevity trends using the spatial statistical framework of Gaussian Process regression. Our analysis is motivated by the Human Mortality Database (HMD) that provides unified raw mortality tables for nearly…

Applications · Statistics 2020-03-06 Nhan Huynh , Mike Ludkovski

A separable covariance model for a random matrix provides a parsimonious description of the covariances among the rows and among the columns of the matrix, and permits likelihood-based inference with a very small sample size. However, in…

Methodology · Statistics 2022-07-27 Peter Hoff , Andrew McCormack , Anru R. Zhang

Diverse analysis approaches have been proposed to distinguish data missing due to death from nonresponse, and to summarize trajectories of longitudinal data truncated by death. We demonstrate how these analysis approaches arise from…

Methodology · Statistics 2010-01-18 Brenda F. Kurland , Laura L. Johnson , Brian L. Egleston , Paula H. Diehr

In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

This manuscript presents an approach to perform generalized linear regression with multiple high dimensional covariance matrices as the outcome. Model parameters are proposed to be estimated by maximizing a pseudo-likelihood. When the data…

Methodology · Statistics 2020-07-28 Yi Zhao , Brian S. Caffo , Xi Luo

We propose a flexible dual functional factor model for modelling high-dimensional functional time series. In this model, a high-dimensional fully functional factor parametrisation is imposed on the observed functional processes, whereas a…

Econometrics · Economics 2024-01-15 Chenlei Leng , Degui Li , Hanlin Shang , Yingcun Xia

Many economic and scientific problems involve the analysis of high-dimensional functional time series, where the number of functional variables $p$ diverges as the number of serially dependent observations $n$ increases. In this paper, we…

Methodology · Statistics 2025-08-12 Shaojun Guo , Xinghao Qiao , Qingsong Wang , Zihan Wang

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

Although the analysis of human mortality has a well-established history, the attempt to accurately forecast future death-rate patterns for different age groups and time horizons still attracts active research. Such a predictive focus has…

Applications · Statistics 2024-01-15 Federico Pavone , Sirio Legramanti , Daniele Durante

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

Econometrics · Economics 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang

In order to implement disease-specific interventions in young age groups, policy makers in low- and middle-income countries require timely and accurate estimates of age- and cause-specific child mortality. High quality data is not available…

The stochastic system approach to causality is applied to situations where the risk of death is not negligible. This approach grounds causality on physical laws, distinguishes system and observation and represents the system by multivariate…

Methodology · Statistics 2016-10-07 Daniel Commenges

This paper considers the problem of forecasting mortality rates. A large number of models have already been proposed for this task, but they generally have the disadvantage of either estimating the model in a two-step process, possibly…

Applications · Statistics 2023-05-26 Patrik Andersson , Mathias Lindholm

In a very high-dimensional vector space, two randomly-chosen vectors are almost orthogonal with high probability. Starting from this observation, we develop a statistical factor model, the random factor model, in which factors are chosen at…

Statistical Finance · Quantitative Finance 2018-12-27 Antti J. Tanskanen , Jani Lukkarinen , Kari Vatanen