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The Poisson distribution arises naturally when dealing with data involving counts, and it has found many applications in inverse problems and imaging. In this work, we develop an approximate Bayesian inference technique based on expectation…

数值分析 · 数学 2019-09-04 Chen Zhang , Simon Arridge , Bangti Jin

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However, if we assume that the unknown mixed…

统计理论 · 数学 2016-08-16 Laurent Bordes , Stéphane Mottelet , Pierre Vandekerkhove

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

最优化与控制 · 数学 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

The paper studies the problem of distributed parameter estimation in multi-agent networks with exponential family observation statistics. A certainty-equivalence type distributed estimator of the consensus + innovations form is proposed in…

概率论 · 数学 2014-02-04 Soummya Kar , Jose Moura

We consider chemical reaction networks modeled by a discrete state and continuous in time Markov process for the vector copy number of the species and provide a novel particle filter method for state and parameter estimation based on exact…

分子网络 · 定量生物学 2021-02-24 Muruhan Rathinam , Mingkai Yu

We consider two nonparametric procedures for estimating a concave distribution function based on data corrupted with additive noise generated by a bounded decreasing density on $(0,\infty)$. For the maximum likelihood (ML) estimator and…

统计理论 · 数学 2009-04-02 Geurt Jongbloed , Frank H. van der Meulen

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

统计方法学 · 统计学 2025-09-04 J. T. Korley

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

The Mann-Whitney effect is an intuitive measure for discriminating two survival distributions. Here we analyze various inference techniques for this parameter in a two-sample survival setting with independent right-censoring, where the…

统计理论 · 数学 2016-09-26 Dennis Dobler , Markus Pauly

Compressed Counting (CC) [22] was recently proposed for estimating the ath frequency moments of data streams, where 0 < a <= 2. CC can be used for estimating Shannon entropy, which can be approximated by certain functions of the ath…

数据结构与算法 · 计算机科学 2012-05-14 Ping Li

We consider Bayesian nonparametric inference in the right-censoring survival model, where modeling is made at the level of the hazard rate. We derive posterior limiting distributions for linear functionals of the hazard, and then for `many'…

统计理论 · 数学 2021-06-01 Ismaël Castillo , Stéphanie van der Pas

We consider a two-component mixture model with one known component. We develop methods for estimating the mixing proportion and the unknown distribution nonparametrically, given i.i.d.~data from the mixture model, using ideas from shape…

统计方法学 · 统计学 2015-11-10 Rohit Kumar Patra , Bodhisattva Sen

New methods and theory have recently been developed to nonparametrically estimate cumulative incidence functions for competing risks survival data subject to current status censoring. In particular, the limiting distribution of the…

统计方法学 · 统计学 2012-01-12 Marloes H. Maathuis , Michael G. Hudgens

We propose sequential Monte Carlo based algorithms for maximum likelihood estimation of the static parameters in hidden Markov models with an intractable likelihood using ideas from approximate Bayesian computation. The static parameter…

统计计算 · 统计学 2013-11-19 Sinan Yildirim , Sumeetpal Singh , Thomas Dean , Ajay Jasra

Frequentist and likelihood methods of inference based on the multivariate skew-normal model encounter several technical difficulties with this model. In spite of the popularity of this class of densities, there are no broadly satisfactory…

统计方法学 · 统计学 2013-02-06 Brunero Liseo , Antonio Parisi

We propose a class of transformation hazard models for right-censored failure time data. It includes the proportional hazards model (Cox) and the additive hazards model (Lin and Ying) as special cases. Due to the requirement of a…

统计理论 · 数学 2007-06-13 Gousheng Yin , Joseph G. Ibrahim

Interval censoring arises frequently in clinical, epidemiological, financial, and sociological studies, where the event or failure of interest is known only to occur within an interval induced by periodic monitoring. We formulate the…

统计方法学 · 统计学 2016-03-01 Donglin Zeng , Lu Mao , D. Y. Lin

We study the problem of estimating the mode and maximum of an unknown regression function in the presence of noise. We adopt the Bayesian approach by using tensor-product B-splines and endowing the coefficients with Gaussian priors. In the…

统计理论 · 数学 2018-03-16 William Weimin Yoo , Subhashis Ghosal

Survival analysis is a statistical technique used to estimate the time until an event occurs. Although it is applied across a wide range of fields, adjusting for reporting delays under practical constraints remains a significant challenge…

机器学习 · 统计学 2025-10-27 Yuta Shikuri , Hironori Fujisawa

This paper addresses the problem of estimating, in the presence of random censoring as well as competing risks, the extreme value index of the (sub)-distribution function associated to one particular cause, in the heavy-tail case.…

统计理论 · 数学 2017-01-20 Julien Worms , Rym Worms