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The Rasch model is widely used for item response analysis in applications ranging from recommender systems to psychology, education, and finance. While a number of estimators have been proposed for the Rasch model over the last decades, the…

Machine Learning · Statistics 2018-06-12 Andrew S. Lan , Mung Chiang , Christoph Studer

Free-space optical communication is emerging as a low-power, low-cost, and high data rate alternative to radio-frequency communication in short-to medium-range applications. However, it requires a close-to-line-of-sight link between the…

Systems and Control · Electrical Eng. & Systems 2021-02-10 I. N'Doye , W. Cai , A. Alalwan , X. Sun , W. G. Headary , M. -S. Alouini , B. -S. Ooi , T. -M. Laleg-Kirati

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

Methodology · Statistics 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

We present a robust refinement method for estimating oriented normals from unstructured point clouds. In contrast to previous approaches that either suffer from high computational complexity or fail to achieve desirable accuracy, our novel…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Yingrui Wu , Mingyang Zhao , Weize Quan , Jian Shi , Xiaohong Jia , Dong-Ming Yan

This paper provides analytical performance of the low-complexity family of affine projection algorithms on the estimation of multipath Rayleigh fading channels in the presence of carrier frequency offsets (CFO) and random channel…

Numerical Analysis · Mathematics 2011-07-08 Sayed A. Hadei , Paeiz Azmi

In this paper, we consider the design of robust linear precoders for MU-MISO systems where users have perfect Channel State Information (CSI) while the BS has partial CSI. In particular, the BS has access to imperfect estimates of the…

Information Theory · Computer Science 2016-11-15 Hamdi Joudeh , Bruno Clerckx

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

Methodology · Statistics 2020-07-31 Gabriela Ciuperca

The mean squared error (MSE) is a ubiquitous loss function for speech enhancement, but its problem is that the error cannot reflect the auditory perception quality. This is because MSE causes models to over-emphasize low-frequency…

Sound · Computer Science 2025-11-11 Zixuan Li , Xueliang Zhang , Changjiang Zhao , Shuai Gao , Lei Miao , Zhipeng Yan , Ying Sun , Chong Zhu

Understanding the fundamental limits on the precision to which an optical phase can be estimated is of key interest for many investigative techniques utilized across science and technology. We study the estimation of a fixed optical phase…

Quantum Physics · Physics 2017-12-13 Patrick M. Birchall , Jeremy L. O'Brien , Jonathan C. F. Matthews , Hugo Cable

In this note we develop a prelimit analysis of performance measures for importance sampling schemes related to small noise diffusion processes. In importance sampling the performance of any change of measure is characterized by its second…

Probability · Mathematics 2014-07-30 Konstantinos Spiliopoulos

Oversampled adaptive sensing (OAS) is a recently proposed Bayesian framework which sequentially adapts the sensing basis. In OAS, estimation quality is, in each step, measured by conditional mean squared errors (MSEs), and the basis for the…

Information Theory · Computer Science 2018-11-16 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

Suppose that two large, multi-dimensional data sets are each noisy measurements of the same underlying random process, and principle components analysis is performed separately on the data sets to reduce their dimensionality. In some…

Machine Learning · Statistics 2024-06-27 Donniell E. Fishkind , Cencheng Shen , Youngser Park , Carey E. Priebe

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

Statistics Theory · Mathematics 2025-07-24 Claudio Agostinelli , Ayanendranath Basu , Giulia Bertagnolli , Arun Kumar Kuchibhotla

We propose an original and general NOn-SEgmental (NOSE) approach for the detection of multiple change-points. NOSE identifies change-points by the non-negligibility of posterior estimates of the jump heights. Alternatively, under the…

Methodology · Statistics 2023-06-19 Chong Zhong , Zhihua Ma , Xu Zhang , Catherine C. Liu

The statistical characterization of the measurement errors of a phasor measurement unit (PMU) is currently receiving considerable interest in the power systems community. This paper focuses on the characteristics of the errors in magnitude…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Demetra Salls , Jairo Ramírez Torres , Antos Cheeramban Varghese , John Patterson , Anamitra Pal

Particle beam microscopy (PBM) performs nanoscale imaging by pixelwise capture of scalar values representing noisy measurements of the response from secondary electrons (SEs) integrated over a dwell time. Extended to metrology, goals…

Data Analysis, Statistics and Probability · Physics 2023-08-15 Akshay Agarwal , Minxu Peng , Vivek K. Goyal

Estimating function inference is indispensable for many common point process models where the joint intensities are tractable while the likelihood function is not. In this paper we establish asymptotic normality of estimating function…

Statistics Theory · Mathematics 2019-11-18 Frédéric Lavancier , Arnaud Poinas , Rasmus Waagepetersen

In this study, we propose an efficient method so-called Successive Complementary Expansion Method (SCEM), that is based on generalized asymptotic expansions, for approximating to the solutions of singularly perturbed two-point boundary…

Numerical Analysis · Mathematics 2020-01-07 Süleyman Cengizci

The moment conditions or estimating equations for instrumental variables quantile regression involve the discontinuous indicator function. We instead use smoothed estimating equations (SEE), with bandwidth $h$. We show that the mean squared…

Methodology · Statistics 2018-02-28 David M. Kaplan , Yixiao Sun

The term ``empirical predictor'' refers to a two-stage predictor of a linear combination of fixed and random effects. In the first stage, a predictor is obtained but it involves unknown parameters; thus, in the second stage, the unknown…

Statistics Theory · Mathematics 2007-06-13 Kalyan Das , Jiming Jiang , J. N. K. Rao