Merging expert and empirical data for rare event frequency estimation : pool homogenisation for empirical Bayes models [PDF]
Empirical Bayes provides one approach to estimating the frequency of rare events as a weighted average of the frequencies of an event and a pool of events. The pool will draw upon, for example, events with similar precursors.
Hardman, Gavin +3 more
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Estimating rate of occurrence of rare events with empirical Bayes : a railway application [PDF]
Classical approaches to estimating the rate of occurrence of events perform poorly when data are few. Maximum likelihood estimators result in overly optimistic point estimates of zero for situations where there have been no events.
Bedford, Tim +2 more
core +4 more sources
An Empirical Bayes approach to ARX estimation [PDF]
Empirical Bayes inference is based on estimation of the parameters of an a priori distribution from the observed data. The estimation technique of the parameters of the prior, called hyperparameters, is based on the marginal distribution obtained by integrating the joint density of the model with respect to the prior.
Timofei Leahu, Giorgio Picci
openaire +4 more sources
Multivariate reliability modelling with empirical Bayes inference [PDF]
Recent developments in technology permit detailed descriptions of system performance to be collected and stored. Consequently, more data are available about the occurrence, or non-occurrence, of events across a range of classes through time.
Quigley, J.L., Walls, L.A.
core +3 more sources
Empirical bayes estimates of development reliability for one shot devices [PDF]
This article describes a method for estimating the reliability of a system under development that is an evolution of previous designs. We present an approach to making effective use of heritage data from similar operational systems to estimate ...
Quigley, J.L. +2 more
core +3 more sources
Small area is an area with insufficient sample for direct estimation. Limited survey objects, cause direct estimation can not produce better parameter estimates.
PUTU EKA ARIWIJAYANTHI +2 more
doaj +1 more source
Metode Bayes Empirik untuk Memodelkan Data Cacahan dengan Peubah Penyerta pada Pendugaan Area Kecil
Metode Bayes Empirik merupakan suatu metode pada Small Area Estimation(SAE) yang menggunakan metode Bayes dalam pendugaan parameternya. Small Area Estimation(SAE) didefinisikan sebagai suatu teknik statistika untuk menduga parameter-parameter subpopulasi
Nadia Cindi Eka Putri +2 more
doaj +1 more source
Throughout this paper we are concerned with the problem of estimating a real parameter when the loss function is such that the Bayes estimate exists, is unique, and satisfies a simple Equation, (1.5). If the estimate is unbiased (in the general sense of Lehmann [3]) we show under weak conditions that it must satisfy another Equation, (1.14).
Bickel, Peter J., Blackwell, David
openaire +3 more sources
Statistical Inference on Simple Step-Stress Accelerated Life Testing for Gompertz Distribution Under .Progressive Type-II Censoring [PDF]
We consider a simple step-stress model under the Gompertz distribution (GD) when the available data are type-II progressive censored. The cumulative exposure model is assumed when the lifetime of test units follows a Gompertz distribution.
السيد وليد شعبان عبدالمنتصر +2 more
doaj +1 more source
Bayesian Estimation of System Reliability Models Using Monte-Carlo Technique of Simulation
This paper discusses the problem of how Monte-Carlo simulation method is deal with Bayesian estimation of reliability of system of n s-independent two-state component.
Kirti Arekar, Rinku Jain, Surender Kumar
doaj +1 more source

