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The classical mixture of linear experts (MoE) model is one of the widespread statistical frameworks for modeling, classification, and clustering of data. Built on the normality assumption of the error terms for mathematical and…

Methodology · Statistics 2020-07-15 Elham Mirfarah , Mehrdad Naderi , Ding-Geng Chen

Although deep learning models have driven state-of-the-art performance on a wide array of tasks, they are prone to spurious correlations that should not be learned as predictive clues. To mitigate this problem, we propose a causality-based…

Machine Learning · Computer Science 2021-10-27 Xinyi Wang , Wenhu Chen , Michael Saxon , William Yang Wang

We propose a decentralized Maximum Likelihood solution for estimating the stochastic renewable power generation and demand in single bus Direct Current (DC) MicroGrids (MGs), with high penetration of droop controlled power electronic…

Machine Learning · Statistics 2016-09-16 Marko Angjelichinoski , Anna Scaglione , Petar Popovski , Cedomir Stefanovic

With the growth of interest in network data across fields, the Exponential Random Graph Model (ERGM) has emerged as the leading approach to the statistical analysis of network data. ERGM parameter estimation requires the approximation of an…

Computation · Statistics 2017-08-10 Christian S. Schmid , Bruce A. Desmarais

In the usual statistical inference problem, we estimate an unknown parameter of a statistical model using the information in the random sample. A priori information about the parameter is also known in several real-life situations. One such…

Statistics Theory · Mathematics 2024-11-11 Lakshmi Kanta Patra , Constantinos Petropoulos , Shrajal Bajpai , Naresh Garg

Consider the Gaussian sequence model under the additional assumption that a fixed fraction of the means is known. We study the problem of variance estimation from a frequentist Bayesian perspective. The maximum likelihood estimator (MLE)…

Statistics Theory · Mathematics 2019-12-19 Gianluca Finocchio , Johannes Schmidt-Hieber

In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

Methodology · Statistics 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

Information Theory · Computer Science 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

In making inference on the relation between failure and exposure histories in the Cox semiparametric model, the maximum partial likelihood estimator (MPLE) of the finite dimensional odds parameter, and the Breslow estimator of the baseline…

Statistics Theory · Mathematics 2009-06-12 Larry Goldstein , Haimeng Zhang

Over the last decades, the family of $\alpha$-stale distributions has proven to be useful for modelling in telecommunication systems. Particularly, in the case of radar applications, finding a fast and accurate estimation for the amplitude…

Methodology · Statistics 2023-11-15 Mahdi Teimouri

In interval censored models with current status observations, the variables are indicators of the presence of individuals on observation intervals and covariates. When several individuals share the same observation interval, a simple…

Statistics Theory · Mathematics 2007-10-10 Odile Pons

We use Stein characterisations to derive new moment-type estimators for the parameters of several truncated multivariate distributions in the i.i.d. case; we also derive the asymptotic properties of these estimators. Our examples include…

Statistics Theory · Mathematics 2024-06-18 Adrian Fischer , Robert E. Gaunt , Yvik Swan

This paper develops a quasi-maximum likelihood estimator for genuinely unbalanced dynamic network panel data models with individual fixed effects. We propose a model that accommodates contemporaneous and lagged network spillovers, temporal…

Methodology · Statistics 2026-01-01 Zhijian Wang , Xingbai Xu , Tuo Liu

We consider a stable Cox--Ingersoll--Ross process driven by a standard Wiener process and a spectrally positive strictly stable L\'evy process, and we study asymptotic properties of the maximum likelihood estimator (MLE) for its growth rate…

Statistics Theory · Mathematics 2019-08-23 Matyas Barczy , Mohamed Ben Alaya , Ahmed Kebaier , Gyula Pap

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

Methodology · Statistics 2026-02-11 Max Welz

For many diseases, logistic and other constraints often render large incidence studies difficult, if not impossible, to carry out. This becomes a drawback, particularly when a new incidence study is needed each time the disease incidence…

Methodology · Statistics 2008-08-11 Vittorio Addona , Masoud Asgharian , David B. Wolfson

Probabilistic regression models trained with maximum likelihood estimation (MLE), can sometimes overestimate variance to an unacceptable degree. This is mostly problematic in the multivariate domain. While univariate models often optimize…

Artificial Intelligence · Computer Science 2024-09-24 Daan Roordink , Sibylle Hess

The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, the maximum pseudolikelihood estimate (MPLE) of…

Statistics Theory · Mathematics 2017-03-06 Bhaswar B. Bhattacharya , Sumit Mukherjee

In finite mixtures of location-scale distributions, if there is no constraint on the parameters then the maximum likelihood estimate does not exist. But when the ratios of the scale parameters are restricted appropriately, the maximum…

Statistics Theory · Mathematics 2011-11-09 Kentaro Tanaka

We construct $\sqrt{n}$-consistent and asymptotically normal estimates for the finite dimensional regression parameter in the current status linear regression model, which do not require any smoothing device and are based on maximum…

Statistics Theory · Mathematics 2017-04-04 Piet Groeneboom , Kim Hendrickx