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The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

We introduce a new model for online ranking in which the click probability factors into an examination and attractiveness function and the attractiveness function is a linear function of a feature vector and an unknown parameter. Only…

Machine Learning · Statistics 2019-05-28 Shuai Li , Tor Lattimore , Csaba Szepesvári

The analysis of decision making under uncertainty is closely related to the analysis of probabilistic inference. Indeed, much of the research into efficient methods for probabilistic inference in expert systems has been motivated by the…

Artificial Intelligence · Computer Science 2013-03-25 Ross D. Shachter , Mark Alan Peot

Motivated by applications to goodness of fit testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The…

Statistics Theory · Mathematics 2013-07-24 Hanxiang Peng , Anton Schick

We study parametric inference on a rich class of hazard regression models in the presence of right-censoring. Previous literature has reported some inferential challenges, such as multimodal or flat likelihood surfaces, in this class of…

Methodology · Statistics 2023-05-10 F. J. Rubio , J. A. Espindola , J. A. Montoya

The problem of inferring the binomial parameter p from x successes obtained in n trials is reviewed and extended to take into account the presence of background, that can affect the data in two ways: a) fake successes are due to a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

Recently maximum pseudo-likelihood (MPL) inference method has been successfully applied to statistical physics models with intractable likelihoods. We use information theory to derive a relation between the pseudo-likelihood and likelihood…

Disordered Systems and Neural Networks · Physics 2015-06-18 Alexander Mozeika , Onur Dikmen , Joonas Piili

We present general, analytic methods for Cosmological likelihood analysis and solve the "many-parameters" problem in Cosmology. Maxima are found by Newton's Method, while marginalization over nuisance parameters, and parameter errors and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 A. N. Taylor , T. D. Kitching

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

This study proposes a framework for estimating demand in differentiated product markets with high dimensional product characteristics, building upon the seminal Berry, Levinsohn, and Pakes (1995) model, using market level data. We allow for…

Econometrics · Economics 2026-05-05 Hua Jin

This work presents a new methodology to obtain probabilistic interval predictions of a dynamical system. The proposed strategy uses stored past system measurements to estimate the future evolution of the system. The method relies on the use…

Systems and Control · Electrical Eng. & Systems 2021-12-21 A. Daniel Carnerero , Daniel R. Ramirez , Teodoro Alamo

We propose two novel ways of introducing dependence among Poisson counts through the use of latent variables in a three levels hierarchical model. Marginal distributions of the random variables of interest are Poisson with strict…

Methodology · Statistics 2020-11-06 Luis E. Nieto-Barajas

A results of numerical procedure for construction of confidence intervals for parameter of Poisson distribution for signal in the presence of background which has Poisson distribution with known value of parameter are presented. It is shown…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. I. Bityukov , N. V. Krasnikov

Economic and financial models -- such as vector autoregressions, local projections, and multivariate volatility models -- feature complex dynamic interactions and spillovers across many time series. These models can be integrated into a…

Econometrics · Economics 2025-03-10 Jinyuan Chang , Qiao Hu , Zhentao Shi , Jia Zhang

This letter gives approximations to an integral appearing in the formula for downlink coverage probability of a typical user in Poisson point process (PPP) based stochastic geometry frameworks of the form $\int_0^\infty \exp\{ - (Ax + B…

Information Theory · Computer Science 2015-10-13 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

This paper is concerned with Bayesian inference when the likelihood is analytically intractable but can be unbiasedly estimated. We propose an annealed importance sampling procedure for estimating expectations with respect to the posterior.…

Methodology · Statistics 2014-02-26 M. -N. Tran , C. Strickland , M. K. Pitt , R. Kohn

This paper presents complexity analysis and variational methods for inference in probabilistic description logics featuring Boolean operators, quantification, qualified number restrictions, nominals, inverse roles and role hierarchies.…

Artificial Intelligence · Computer Science 2012-05-14 Fabio Gagliardi Cozman , Rodrigo Bellizia Polastro

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

There are some real life issues that are exists in nature which has early failure. This type of problems can be modelled either by a complex distribution having more than one parameter or by finite mixture of some distribution. In this…

Statistics Theory · Mathematics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das , Sandeep Singh

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag