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In this article, we consider the problem of estimating the parameters of the Fr\'echet distribution from both frequentist and Bayesian points of view. First we briefly describe different frequentist approaches, namely, maximum likelihood,…

应用统计 · 统计学 2018-01-17 Pedro Luiz Ramos , Francisco Louzada , Eduardo Ramos , Sanku Dey

The lifetimes of subjects which are left-censored lie below a threshold value or a limit of detection. A popular tool used to handle left-censored data is the reversed hazard rate. In this work, we study the properties and develop…

统计理论 · 数学 2022-12-27 G. Asha , Durga Vasudevan

Distributional regression aims to find the best candidate in a given parametric family of conditional distributions to model a given dataset. As each candidate in the distribution family can be identified by the corresponding distribution…

统计理论 · 数学 2026-05-18 Gitte Kremling , Gerhard Dikta

Estimating boundary curves has many applications such as economics, climate science, and medicine. Bayesian trend filtering has been developed as one of locally adaptive smoothing methods to estimate the non-stationary trend of data. This…

统计方法学 · 统计学 2023-11-13 Takahiro Onizuka , Fumiya Iwashige , Shintaro Hashimoto

We consider the problem of estimating the probability density function of a circular random variable observed under censoring. To this end, we introduce a projection estimator constructed via a regression approach on linear sieves. We first…

统计理论 · 数学 2025-12-09 Nicolas Conanec , Claire Lacour , Thanh Mai Pham Ngoc

In this paper the elicitation of probabilities from human experts is considered as a measurement process, which may be disturbed by random 'measurement noise'. Using Bayesian concepts a second order probability distribution is derived…

人工智能 · 计算机科学 2013-04-05 Gerhard Paaß

Survival analysis is a type of semi-supervised ranking task where the target output (the survival time) is often right-censored. Utilizing this information is a challenge because it is not obvious how to correctly incorporate these censored…

机器学习 · 计算机科学 2018-06-12 Margaux Luck , Tristan Sylvain , Joseph Paul Cohen , Heloise Cardinal , Andrea Lodi , Yoshua Bengio

Many scientific and engineering problems require to perform Bayesian inferences in function spaces, in which the unknowns are of infinite dimension. In such problems, many standard Markov Chain Monte Carlo (MCMC) algorithms become arbitrary…

数值分析 · 数学 2016-04-12 Zhe Feng , Jinglai Li

When the observations are not quantified and are known to be less than a threshold value, the concept of left censoring needs to be included in the analysis of such datasets. In many real multi component lifetime systems left censored data…

统计方法学 · 统计学 2022-12-29 Durga Vasudevan , G. Asha

In this paper we present an optimization-based view of distributed parameter estimation and observational social learning in networks. Agents receive a sequence of random, independent and identically distributed (i.i.d.) signals, each of…

机器学习 · 计算机科学 2013-09-11 Shahin Shahrampour , Ali Jadbabaie

In recent times empirical likelihood has been widely applied under Bayesian framework. Markov chain Monte Carlo (MCMC) methods are frequently employed to sample from the posterior distribution of the parameters of interest. However,…

统计方法学 · 统计学 2022-09-07 Sanjay Chaudhuri , Teng Yin

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

统计方法学 · 统计学 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

We study the parameter estimation method for linear regression models with possibly skewed stable distributed errors. Our estimation procedure consists of two stages: first, for the regression coefficients, the Cauchy quasi-maximum…

统计理论 · 数学 2025-06-25 Eitaro Kawamo , Hiroki Masuda

Bayesian hierarchical Poisson models are an essential tool for analyzing count data. However, designing efficient algorithms to sample from the posterior distribution of the target parameters remains a challenging task for this class of…

统计方法学 · 统计学 2025-02-10 Aldo Gardini , Fedele Greco , Carlo Trivisano

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

统计理论 · 数学 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

In this article we consider Bayesian estimation of static parameters for a class of partially observed McKean-Vlasov diffusion processes with discrete-time observations over a fixed time interval. This problem features several obstacles to…

统计计算 · 统计学 2025-04-23 Ajay Jasra , Amin Wu

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

统计计算 · 统计学 2022-11-02 Georgios Efstathiadis

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

种群与进化 · 定量生物学 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

统计方法学 · 统计学 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

In this paper we discuss new adaptive proposal strategies for sequential Monte Carlo algorithms--also known as particle filters--relying on criteria evaluating the quality of the proposed particles. The choice of the proposal distribution…

统计计算 · 统计学 2008-08-25 Julien Cornebise , Eric Moulines , Jimmy Olsson
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