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Related papers: SMML estimators for 1-dimensional continuous data

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In massive multiple-input multiple-output (MIMO) systems, it may not be power efficient to have a high-resolution analog-to-digital converter (ADC) for each antenna element. In this paper, a near maximum likelihood (nML) detector for uplink…

Information Theory · Computer Science 2016-02-12 Junil Choi , Jianhua Mo , Robert W. Heath

In this article we have suggested an improved estimator for estimating the population mean in simple random sampling using auxiliary information under the presence of measurement errors. The mean square error (MSE) of the proposed estimator…

Applications · Statistics 2013-12-05 Sachin Malik , Jayant Singh , Rajesh Singh

In this correspondence, we focus on the performance analysis of the widely-used minimum description length (MDL) source enumeration technique in array processing. Unfortunately, available theoretical analysis exhibit deviation from the…

Information Theory · Computer Science 2015-05-13 Farzan Haddadi , Mohammadreza Malekmohammadi , Mohammad Mahdi Nayebi , Mohammad Reza Aref

We provide an efficient unified plug-in approach for estimating symmetric properties of distributions given $n$ independent samples. Our estimator is based on profile-maximum-likelihood (PML) and is sample optimal for estimating various…

Machine Learning · Statistics 2022-10-14 Moses Charikar , Zhihao Jiang , Kirankumar Shiragur , Aaron Sidford

Let there be given a contaminated list of n R^d-valued observations coming from g different, normally distributed populations with a common covariance matrix. We compute the ML-estimator with respect to a certain statistical model with n-r…

Statistics Theory · Mathematics 2007-06-13 Maria Teresa Gallegos , Gunter Ritter

Major progress has been made in the previous decade to characterize the asymptotic behavior of regularized M-estimators in high-dimensional regression problems in the proportional asymptotic regime where the sample size $n$ and the number…

Statistics Theory · Mathematics 2024-10-15 Pierre C. Bellec , Takuya Koriyama

Good robust estimators can be tuned to combine a high breakdown point and a specified asymptotic efficiency at a central model. This happens in regression with MM- and tau-estimators among others. However, the finite-sample efficiency of…

Statistics Theory · Mathematics 2013-11-21 Ricardo Maronna , Víctor Yohai

This article explores the required amount of time series points from a high-speed computer network to accurately estimate the Hurst exponent. The methodology consists in designing an experiment using estimators that are applied to time…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Ginno Millán , Román Osorio-Comparán , Gastón Lefranc

Asymptotics of the normalizing constant is computed for a class of one parameter exponential families on permutations which includes Mallows model with Spearmans's Footrule and Spearman's Rank Correlation Statistic. The MLE, and a…

Probability · Mathematics 2016-05-05 Sumit Mukherjee

The growing size of modern data brings many new challenges to existing statistical inference methodologies and theories, and calls for the development of distributed inferential approaches. This paper studies distributed inference for…

Machine Learning · Statistics 2019-10-01 Xiaozhou Wang , Zhuoyi Yang , Xi Chen , Weidong Liu

Consider the problem of detecting one of M i.i.d. Gaussian signals corrupted in white Gaussian noise. Conventionally, matched filters are used for detection. We first show that the outputs of the matched filter form a set of asymptotically…

Information Theory · Computer Science 2020-08-19 Jiachun Pan , Yonglong Li , Vincent Y. F. Tan , Yonina C. Eldar

This paper estimates the break point for large-dimensional factor models with a single structural break in factor loadings at a common unknown date. First, we propose a quasi-maximum likelihood (QML) estimator of the change point based on…

Econometrics · Economics 2021-04-01 Jiangtao Duan , Jushan Bai , Xu Han

This paper derives a Minimum Message Length (MML) criterion for the model selection of the Autoregressive Moving Average (ARMA) time series model. The MML87 performances on the ARMA model compared with other well known model selection…

Information Theory · Computer Science 2022-03-02 Zheng Fang , David L. Dowe , Shelton Peiris , Dedi Rosadi

Method of moment estimators exhibit appealing statistical properties, such as asymptotic unbiasedness, for nonconvex problems. However, they typically require a large number of samples and are extremely sensitive to model misspecification.…

Computation · Statistics 2016-03-30 Dustin Tran , Minjae Kim , Finale Doshi-Velez

Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

Machine Learning · Computer Science 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

Statistical signal processing applications usually require the estimation of some parameters of interest given a set of observed data. These estimates are typically obtained either by solving a multi-variate optimization problem, as in the…

Computation · Statistics 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

By considering an empirical approximation, and a new class of operators that we will call walking operators, we construct, for any positive ND-toeplitz matrix, an infinite in all dimensions matrix, for which the inverse approximates the…

Spectral Theory · Mathematics 2007-05-23 Rami Kanhouche

A constrained L1 minimization method is proposed for estimating a sparse inverse covariance matrix based on a sample of $n$ iid $p$-variate random variables. The resulting estimator is shown to enjoy a number of desirable properties. In…

Methodology · Statistics 2011-02-14 Tony Cai , Weidong Liu , Xi Luo

Markov population models (MPMs) are a widely used modelling formalism in the area of computational biology and related areas. The semantics of a MPM is an infinite-state continuous-time Markov chain. In this paper, we use the established…

Numerical Analysis · Computer Science 2014-06-10 David Spieler , Ernst Moritz Hahn , Lijun Zhang

We experimentally validate a mode-dependent loss (MDL) estimation technique employing acorrection factor to remove the MDL estimation dependence on the SNR when using a minimum meansquare error (MMSE) equalizer. A reduction of the MDL…

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