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The paper is devoted to the study of a parametric deformation model of independent and identically random variables. Firstly, we construct an efficient and very easy to compute recursive estimate of the parameter. Our stochastic estimator…

Statistics Theory · Mathematics 2013-02-04 Philippe Fraysse , Hélène Lescornel , Jean-Michel Loubès

Markov chain Monte Carlo methods are central in computational statistics, and typically rely on detailed balance to ensure invariance with respect to a target distribution. Although straightforward to construct by Metropolization, this can…

Statistics Theory · Mathematics 2025-11-14 Erik Jansson , Moritz Schauer , Ruben Seyer , Akash Sharma

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

Machine Learning · Computer Science 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

Computation · Statistics 2011-02-16 Olivier Cappé

This study proposes a debiasing method for smooth nonparametric estimators. While machine learning techniques such as random forests and neural networks have demonstrated strong predictive performance, their theoretical properties remain…

Methodology · Statistics 2025-03-19 Masahiro Kato

We develop two Regression Monte Carlo algorithms (value and performance iteration) to solve general problems of optimal stochastic control of discrete-time Markov processes. We formulate our method within an innovative framework that allow…

Optimization and Control · Mathematics 2017-12-29 Alessandro Balata , Jan Palczewski

This paper presents a model of asymmetric bifurcating autoregressive process with random coefficients. We couple this model with a Galton Watson tree to take into account possibly missing observations. We propose least-squares estimators…

Probability · Mathematics 2013-04-18 Benoîte de Saporta , Anne Gégout-Petit , Laurence Marsalle

In Monte-Carlo methods the Markov processes used to sample a given target distribution usually satisfy detailed balance, i.e. they are time-reversible. However, relatively recent results have demonstrated that appropriate reversible and…

Probability · Mathematics 2016-06-29 Luc Rey-Bellet , Konstantinos Spiliopoulos

Compared to the nominal scale, the ordinal scale for a categorical outcome variable has the property of making a monotonicity assumption for the covariate effects meaningful. This assumption is encoded in the commonly used proportional odds…

Methodology · Statistics 2023-10-04 Olli Saarela , Christian Rohrbeck , Elja Arjas

We introduce a new algorithm for approximate inference that combines reparametrization, Markov chain Monte Carlo and variational methods. We construct a very flexible implicit variational distribution synthesized by an arbitrary Markov…

Machine Learning · Statistics 2017-08-07 Michalis K. Titsias

This paper is devoted to the nonparametric estimation of the derivative of the regression function in a nonparametric regression model. We implement a very efficient and easy to handle statistical procedure based on the derivative of the…

Statistics Theory · Mathematics 2016-06-21 Bernard Bercu , Sami Capderou , Gilles Durrieu

Markov chain Monte Carlo algorithms are invaluable tools for exploring stationary properties of physical systems, especially in situations where direct sampling is unfeasible. Common implementations of Monte Carlo algorithms employ…

Statistical Mechanics · Physics 2016-04-27 Marija Vucelja

We compare numerically the performance of reversible and non-reversible Markov Chain Monte Carlo algorithms for high dimensional oil reservoir problems; because of the nature of the problem at hand, the target measures from which we sample…

Applications · Statistics 2019-03-19 P. Dobson , I. Fursov , G. Lord , M. Ottobre

The Robbins-Monro stochastic approximation algorithm is a foundation of many algorithmic frameworks for reinforcement learning (RL), and often an efficient approach to solving (or approximating the solution to) complex optimal control…

Optimization and Control · Mathematics 2019-03-19 Andrey Bernstein , Yue Chen , Marcello Colombino , Emiliano Dall'Anese , Prashant Mehta , Sean Meyn

We present a simulation methodology for Bayesian estimation of rate parameters in Markov jump processes arising for example in stochastic kinetic models. To handle the problem of missing components and measurement errors in observed data,…

Computation · Statistics 2010-09-01 Michael Amrein , Hans R. Kuensch

A regularized vector autoregressive hidden semi-Markov model is developed to analyze multivariate financial time series with switching data generating regimes. Furthermore, an augmented EM algorithm is proposed for parameter estimation by…

Applications · Statistics 2021-05-19 Zekun Xu , Ye Liu

With regard to a three-step estimation procedure, proposed without theoretical discussion by Li and You in Journal of Applied Statistics and Management, for a nonparametric regression model with time-varying regression function, local…

Statistics Theory · Mathematics 2020-10-27 Jiyanglin Li , Tao Li

In this work we present a non-reversible, tuning- and rejection-free Markov chain Monte Carlo which naturally fits in the framework of hit-and-run. The sampler only requires access to the gradient of the log-density function, hence the…

Computation · Statistics 2018-10-31 Amir Sepehri , Jelena Markovic

The Robbins-Monro algorithm is a recursive, simulation-based stochastic procedure to approximate the zeros of a function that can be written as an expectation. It is known that under some technical assumptions, Gaussian limit distributions…

Probability · Mathematics 2025-10-22 Valentin Konakov , Enno Mammen , Lorick Huang

We investigate in this paper an alternative method to simulation based recursive importance sampling procedure to estimate the optimal change of measure for Monte Carlo simulations. We propose an algorithm which combines (vector and…

Probability · Mathematics 2011-09-20 Noufel Frikha , Abass Sagna