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In this paper, the Gaussian quasi likelihood ratio test (GQLRT) for non-Bayesian binary hypothesis testing is generalized by applying a transform to the probability distribution of the data. The proposed generalization, called…

Methodology · Statistics 2017-11-22 Nir Halay , Koby Todros , Alfred O. Hero

To solve the problem of detecting subspace signals in nonzero-mean clutter, we propose adaptive detectors, based on the strategies of generalized likelihood ratio test (GLRT), Rao test, Wald test, gradient test, and Durbin test. The results…

Other Statistics · Statistics 2026-05-11 Weijian Liu , Zhenyu Xu , Jun Liu , Hui Chen , Yongxiang Liu

In this paper, we consider the detection of a small change in the frequency of sinusoidal signals, which arises in various signal processing applications. The generalized likelihood ratio test (GLRT) for this problem uses the maximum…

Signal Processing · Electrical Eng. & Systems 2020-08-24 Eyal Levy , Tirza Routtenberg

A class of multivariate spectral representations for real-valued nonstationary random variables is introduced, which is characterised by a general complex Gaussian distribution. In this way, the temporal signal properties -- harmonicity,…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

Evidential Deep Learning (EDL) has emerged as an efficient, sampling-free strategy for uncertainty estimation. A series of EDL variants have been proposed to address specific limitations of the original framework, achieving notable success.…

Machine Learning · Computer Science 2026-05-26 Yuanye Liu , Yibo Gao , Yuanyang Chen , Xiahai Zhuang

This paper studies recursive composite hypothesis testing in a network of sparsely connected agents. The network objective is to test a simple null hypothesis against a composite alternative concerning the state of the field, modeled as a…

Information Theory · Computer Science 2017-02-23 Anit Kumar Sahu , Soummya Kar

Classical target detection schemes are usually obtained deriving the likelihood ratio under Gaussian hypothesis and replacing the unknown background parameters by their estimates. In most applications, interference signals are assumed to be…

Applications · Statistics 2014-04-14 Joana Frontera-Pons , Frederic Pascal , Jean-Philippe Ovarlez

Generalized likelihood ratio (GLR) test statistics are often used in the detection of spatial clustering in case-control and case-population datasets to check for a significantly large proportion of cases within some scanning window. The…

Statistics Theory · Mathematics 2009-11-20 Hock Peng Chan

The focus of this paper is on detection theory for union of subspaces (UoS). To this end, generalized likelihood ratio tests (GLRTs) are presented for detection of signals conforming to the UoS model and detection of the corresponding…

Signal Processing · Electrical Eng. & Systems 2019-01-23 Muhammad Asad Lodhi , Waheed U. Bajwa

A starshade suppresses starlight by a factor of 1E11 in the image plane of a telescope, which is crucial for directly imaging Earth-like exoplanets. The state of the art in high contrast post-processing and signal detection methods were…

Instrumentation and Methods for Astrophysics · Physics 2021-03-18 Mengya , Hu , Anthony Harness , He Sun , N. Jeremy Kasdin

We generalize the generalized likelihood ratio (GLR) method through a novel push-out Leibniz integration approach. Extending the conventional push-out likelihood ratio (LR) method, our approach allows the sample space to be…

Methodology · Statistics 2025-05-02 Xingyu Ren , Michael C. Fu

We investigate the behavior of the Generalized Likelihood Ratio Test (GLRT) (Fan, Zhang and Zhang [Ann. Statist. 29 (2001) 153-193]) for time varying coefficient models where the regressors and errors are non-stationary time series and can…

Statistics Theory · Mathematics 2014-02-05 Zhou Zhou

Based on the technique of generalized likelihood ratio test, we address detection schemes for Doppler-shifted range-spread targets in Gaussian noise. First, a detection scheme is derived by solving the maximization associated with the…

Signal Processing · Electrical Eng. & Systems 2017-10-10 Mai. P. T. Nguyen , I. Song , S. Lee , S. Yoon

The classical likelihood ratio test (LRT) based on the asymptotic chi-squared distribution of the log likelihood is one of the fundamental tools of statistical inference. A recent universal LRT approach based on sample splitting provides…

Methodology · Statistics 2022-11-22 Robin Dunn , Aaditya Ramdas , Sivaraman Balakrishnan , Larry Wasserman

We consider a distributed detection problem where measurements at each sensor follow a general parametric distribution. The network does not have a central processing unit or fusion center (FC). Thus, each node takes some measurements, does…

Signal Processing · Electrical Eng. & Systems 2021-06-08 Juan Maya , Leonardo Rey Vega

With the improvement in the quantity and quality of remote sensing images, content-based remote sensing object retrieval (CBRSOR) has become an increasingly important topic. However, existing CBRSOR methods neglect the utilization of global…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Linping Zhang , Yu Liu , Xueqian Wang , Gang Li , You He

This paper addresses the adaptive radar target detection problem in the presence of Gaussian interference with unknown statistical properties. To this end, the problem is first formulated as a binary hypothesis test, and then we derive a…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Chaoran Yin , Tianqi Wang , Linjie Yan , Chengpeng Hao , Alfonso Farina , Danilo Orlando

Recent observations of gravitational waves from binary black holes and neutron stars allow us to probe the strong and dynamical field regime of gravity. On the other hand, a collective signal from many individual, unresolved sources results…

General Relativity and Quantum Cosmology · Physics 2021-10-08 Alexander Saffer , Kent Yagi

We consider the change-point detection problem of deciding, based on noisy measurements, whether an unknown signal over a given graph is constant or is instead piecewise constant over two connected induced subgraphs of relatively low cut…

Statistics Theory · Mathematics 2012-06-06 James Sharpnack , Alessandro Rinaldo , Aarti Singh

We develop a nonparametric extension of the sequential generalized likelihood ratio (GLR) test and corresponding time-uniform confidence sequences for the mean of a univariate distribution. By utilizing a geometric interpretation of the GLR…

Statistics Theory · Mathematics 2021-05-17 Jaehyeok Shin , Aaditya Ramdas , Alessandro Rinaldo