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Related papers: SMML estimators for 1-dimensional continuous data

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This is an up-to-date introduction to and overview of the Minimum Description Length (MDL) Principle, a theory of inductive inference that can be applied to general problems in statistics, machine learning and pattern recognition. While MDL…

Methodology · Statistics 2019-12-19 Peter Grünwald , Teemu Roos

The limit distribution of the nonparametric maximum likelihood estimator for interval censored data with more than one observation time per unobservable observation, is still unknown in general. For the so-called separated case, where one…

Statistics Theory · Mathematics 2026-02-12 Piet Groeneboom

We consider the problem of computing the Maximal Exact Matches (MEMs) of a given pattern $P[1 .. m]$ on a large repetitive text collection $T[1 .. n]$, which is represented as a (hopefully much smaller) run-length context-free grammar of…

Data Structures and Algorithms · Computer Science 2023-09-06 Gonzalo Navarro

In this paper we have proposed a median based estimator using known value of some population parameter(s) in simple random sampling. Various existing estimators are shown particular members of the proposed estimator. The bias and mean…

Statistics Theory · Mathematics 2014-08-15 Hemant K. Verma , Rajesh Singh , Florentin Smarandache

Solving conditional moment restrictions (CMRs) is a key problem considered in statistics, causal inference, and econometrics, where the aim is to solve for a function of interest that satisfies some conditional moment equalities.…

Machine Learning · Statistics 2025-06-25 Daqian Shao , Ashkan Soleymani , Francesco Quinzan , Marta Kwiatkowska

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

Methodology · Statistics 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

We define the group-lasso estimator for the natural parameters of the exponential families of distributions representing hierarchical log-linear models under multinomial sampling scheme. Such estimator arises as the solution of a convex…

Statistics Theory · Mathematics 2012-07-31 Yuval Nardi , Alessandro Rinaldo

We propose a general methodology for the construction and analysis of minimax estimators for a wide class of functionals of finite dimensional parameters, and elaborate on the case of discrete distributions, where the alphabet size $S$ is…

Information Theory · Computer Science 2015-03-11 Jiantao Jiao , Kartik Venkat , Yanjun Han , Tsachy Weissman

We consider the problem of the construction of the estimator-process of the unknown finite-dimensional parameter in the case of the observations of nonlinear autoregressive process. The estimation is done in two or three steps. First we…

Statistics Theory · Mathematics 2016-02-01 Yury A. Kutoyants , Anastasia Motrunich

The expected signature maps a collection of data streams to a lower dimensional representation, with a remarkable property: the resulting feature tensor can fully characterize the data generating distribution. This "model-free" embedding…

Machine Learning · Statistics 2025-05-29 Lorenzo Lucchese , Mikko S. Pakkanen , Almut E. D. Veraart

In this article we develop a new sequential Monte Carlo (SMC) method for multilevel (ML) Monte Carlo estimation. In particular, the method can be used to estimate expectations with respect to a target probability distribution over an…

Computation · Statistics 2017-03-16 Alexandros Beskos , Ajay Jasra , Kody Law , Youssef Marzouk , Yan Zhou

The minimum mean-squared error (MMSE) is one of the most popular criteria for Bayesian estimation. Conversely, the signal-to-noise ratio (SNR) is a typical performance criterion in communications, radar, and generally detection theory. In…

Information Theory · Computer Science 2016-10-12 Luca Rugini , Paolo Banelli

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme,…

Statistics Theory · Mathematics 2007-10-17 M. Khoshnevisan , Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

This paper considers estimation and inference in semiparametric econometric models. Standard procedures estimate the model based on an independence restriction that induces a minimum distance between a joint cumulative distribution function…

Statistics Theory · Mathematics 2014-12-09 Zhengyuan Gao , Antonio Galvao

We propose an optimistic model-based algorithm, dubbed SMRL, for finite-horizon episodic reinforcement learning (RL) when the transition model is specified by exponential family distributions with $d$ parameters and the reward is bounded…

Machine Learning · Computer Science 2023-01-10 Gene Li , Junbo Li , Anmol Kabra , Nathan Srebro , Zhaoran Wang , Zhuoran Yang

Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

Methodology · Statistics 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

In wireless communication systems, the use of multiple antennas at both the transmitter and receiver is a widely known method for improving both reliability and data rates, as it increases the former through transmit or receive diversity…

Information Theory · Computer Science 2014-12-31 Fathurrahman Hilman , Jong-Hyen Baek , Eun-Kyung Chae , KyungchunLee

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

Triangular distributions are a well-known class of distributions that are often used as elementary example of a probability model. In the past, enumeration and order statistic-based methods have been suggested for the maximum likelihood…

Computation · Statistics 2016-02-16 Hien D Nguyen , Geoffrey J McLachlan

A discrete statistical model is a subset of a probability simplex. Its maximum likelihood estimator (MLE) is a retraction from that simplex onto the model. We characterize all models for which this retraction is a rational function. This is…

Statistics Theory · Mathematics 2020-06-16 Eliana Duarte , Orlando Marigliano , Bernd Sturmfels