English
Related papers

Related papers: Order Restricted Bayesian Analysis of a Simple Ste…

200 papers

We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models can be efficiently treated by means of…

Statistics Theory · Mathematics 2010-10-11 Gareth O. Roberts , Laura M. Sangalli

I introduce a general, Bayesian method for modelling univariate time series data assumed to be drawn from a continuous, stochastic process. The method accommodates arbitrary temporal sampling, and takes into account measurement…

Instrumentation and Methods for Astrophysics · Physics 2012-10-24 C. A. L. Bailer-Jones

We extend the recently introduced regularization/Bayesian System Identification procedures to the estimation of time-varying systems. Specifically, we consider an online setting, in which new data become available at given time steps. The…

Systems and Control · Computer Science 2016-09-26 Giulia Prando , Diego Romeres , Alessandro Chiuso

In an indirect Gaussian sequence space model lower and upper bounds are derived for the concentration rate of the posterior distribution of the parameter of interest shrinking to the parameter value $\theta^\circ$ that generates the data.…

Statistics Theory · Mathematics 2015-02-03 Jan Johannes , Anna Simoni , Rudolf Schenk

Many applications involve estimating the mean of multiple binomial outcomes as a common problem -- assessing intergenerational mobility of census tracts, estimating prevalence of infectious diseases across countries, and measuring…

Econometrics · Economics 2026-01-01 Yan Chen , Lihua Lei

In this paper we consider the problem of parameter inference for Markov jump process (MJP) representations of stochastic kinetic models. Since transition probabilities are intractable for most processes of interest yet forward simulation is…

Computation · Statistics 2014-09-16 Andrew Golightly , Darren J. Wilkinson

In this article, the estimation of reliability of a system is discussed $p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential distribution with different scale parameters when the available data are type II Censored…

Methodology · Statistics 2008-01-08 A. M. Abd Elfattah , O. Mohamed Marwa

We consider the Bayesian estimation of the parameters of a finite mixture model from independent order statistics arising from imperfect ranked set sampling designs. As a cost-effective method, ranked set sampling enables us to incorporate…

In designed experiments and surveys, known laws or design feat ures provide checks on the most relevant aspects of a model and identify the target parameters. In contrast, in most observational studies in the health and social sciences, the…

Methodology · Statistics 2010-01-18 Sander Greenland

In order to describe the extremal behaviour of some stochastic process $X$, approaches from univariate extreme value theory are typically generalized to the spatial domain. In particular, generalized peaks-over-threshold approaches allow…

Methodology · Statistics 2026-01-01 Max Thannheimer , Marco Oesting

Multistage ranking models, including the popular Plackett-Luce distribution (PL), rely on the assumption that the ranking process is performed sequentially, by assigning the positions from the top to the bottom one (forward order). A recent…

Methodology · Statistics 2020-03-17 Cristina Mollica , Luca Tardella

Generating realistic time series samples is crucial for stress-testing models and protecting user privacy by using synthetic data. In engineering and safety-critical applications, these samples must meet certain hard constraints that are…

Machine Learning · Computer Science 2025-10-31 Sai Shankar Narasimhan , Shubhankar Agarwal , Litu Rout , Sanjay Shakkottai , Sandeep P. Chinchali

In social and biomedical sciences testing in contingency tables often involves order restrictions on cell-probabilities parameters. We develop objective Bayes methods for order-constrained testing and model comparison when observations…

Methodology · Statistics 2018-10-24 Roberta Paroli , Guido Consonni

We introduce a simulation-based, amortised Bayesian inference scheme to infer the parameters of random walks. Our approach learns the posterior distribution of the walks' parameters with a likelihood-free method. In the first step a graph…

Machine Learning · Computer Science 2022-12-07 Hippolyte Verdier , François Laurent , Alhassan Cassé , Christian Vestergaard , Jean-Baptiste Masson

Survey data are often collected under multistage sampling designs where units are binned to clusters that are sampled in a first stage. The unit-indexed population variables of interest are typically dependent within cluster. We propose a…

Methodology · Statistics 2021-08-26 Luis G. Leon-Novelo , Terrance D. Savitsky

Survival analysis predicts the time until an event of interest, such as failure or death, but faces challenges due to censored data, where some events remain unobserved. Ensemble-based models, like random survival forests and gradient…

Machine Learning · Computer Science 2025-06-10 Lev V. Utkin , Semen P. Khomets , Vlada A. Efremenko , Andrei V. Konstantinov , Natalya M. Verbova

Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference methods are often unable to account for outliers and other extreme values in data which occur due to…

Machine Learning · Statistics 2026-02-18 Ayush Bharti , Charita Dellaporta , Yuga Hikida , François-Xavier Briol

The problem of making sequential decisions in unknown probabilistic environments is studied. In cycle $t$ action $y_t$ results in perception $x_t$ and reward $r_t$, where all quantities in general may depend on the complete history. The…

Artificial Intelligence · Computer Science 2007-05-23 Marcus Hutter

This paper deals with Bayesian estimations of scale parameter of the exponential distribution based on upper record range (Rn). This has been done in two steps; point and interval. In the first step the quadratic, squared error and absolute…

Probability · Mathematics 2013-06-26 P. Nasiri , S. Hosseini , M. Yarmohammadi , F. Hatami

Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature,…

Applications · Statistics 2021-10-13 Helmi Shat , Rainer Schwabe