[Statistical Methods in Reliability]: Discussion

Meeker, William Q.

doi:10.2307/1267847

Cited by 124 publications

(244 citation statements)

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“…An alternative to substitution is to use a statistical technique to calculate a dataset's descriptive statistics (i.e., mean, standard deviation and percentiles) incorporating censored data (Helsel 2005). In medical and industrial statistics, the standard method for calculating descriptive statistics from censored data is the Kaplan-Meier (KM) method Moeschberger 2003, Meeker andEscobar 1998). This is a non-parametric method designed to incorporate data with multiple censoring levels and does not require an assumed data distribution (e.g.…”

Section: Assessment: the Use Of Monitoring Data And Wqgs To Support Dmentioning

confidence: 99%

Water quality guidelines for chemicals: learning lessons to deliver meaningful environmental metrics

Merrington

Grist

et al. 2013

Environ Sci Pollut Res

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Many jurisdictions around the globe have well developed regulatory frameworks for the derivation and implementation of water quality guidelines (WQGs) or their equivalent (e.g. environmental quality standards, criteria, objectives or limits). However, a great many more still do not have such frameworks and are looking to introduce practical methods to manage chemical exposures in aquatic ecosystems. There is a potential opportunity for learning and sharing of data and information between experts from different jurisdictions in order to deliver efficient and effective methods to manage potential aquatic risks, including the considerable reduction in the need for aquatic toxicity testing and the rapid identification of common challenges. This paper reports the outputs of an international workshop with representatives from 14 countries held in Hong Kong in December 2011. The aim of the workshop and this paper was to identify 'good practice' in the development of WQGs to deliver to a range environmental management goals. However, it is important to broaden this consideration to cover often overlooked facets of implementable WQGs, such as demonstrable field-validation (i.e., does the WQG protect what it is supposed to?), fit for purpose of monitoring frameworks (often an on-going cost) and finally how are these monitoring data used to support management decisions in a manner that is transparent and understandable to stakeholders. It is clear that regulators and the regulated community have numerous pressures and constraints on their resources. Therefore the final section of this paper addresses potential areas of collaboration and harmonisation. Such approaches could deliver a consistent foundation from which to assess potential chemical aquatic risks, including, for example, the adoption of bioavailability-based approaches for metals, whilst reducing administrative and technical burdens in jurisdictions.

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Section: Assessment: the Use Of Monitoring Data And Wqgs To Support Dmentioning

confidence: 99%

Water quality guidelines for chemicals: learning lessons to deliver meaningful environmental metrics

Merrington

Grist

et al. 2013

Environ Sci Pollut Res

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“…The applicability of normal approximation of ML estimation is in small sample size. Following Meeker & Escobar (1998), a log-transformation can be considered for improvements in the performance of the normal approximation. Thus, (1 − ) 100% improved approximate confidence intervals for the parameters θ and σ are obtained as…”

Section: Approximate Confidence Intervalmentioning

confidence: 99%

Empirical Estimation Based On Progressive First Failure Censored Generalized Pareto Data

Prakash¹

2018

Jas

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Abstract. The Progressive First-Failure (PFF) censoring scheme is considered in the present article for the Empirical Bayes estimation. The approximate confidence intervals and the Bayes estimation for the unknown parameters under the empirical Bayesian technique are obtained for the Generalized Pareto distribution. The improved approximate confidence intervals are discussed also. A simulation technique is applied here for illustrating the methods based on different censoring plans, those are the special cases of PFF censoring scheme.Résumé. Le schéma de censure du premieréchec progressif (PFF) est considéré dans le présent article pour l'estimation empirique de Bayes. Les intervalles de confiance approximatifs et l'estimation de Bayes pour les paramètres inconnus sous la méthode bayésienne empirique sont obtenus pour la distribution de Pareto généralisée. Les intervalles de confiance approximatifs améliorés sontégalement discutés. Une technique de simulation est appliquée ici pour illustrer les méthodes basées sur différents plans de censure, qui sont les cas particuliers du schéma de censure PFF.

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“…Many tests have been carried out to collect degradation data to investigate the degradation behavior of magneto-optic data storage disks. A dataset was presented in [7], where 16 units were tested for 2000 hours at 80 o C and 85% relative humidity. The failure threshold level of block error rate is f D =5.…”

Section: Storage Disks Degradation Modelingmentioning

confidence: 99%

“…He derived the sample log-likelihood function with the first differences of the inspections, the correlation among the observations on an item over time is consequently considered in his modeling procedure. Motivated by laser data [7], Peng and Tseng [11] proposed a generalized formulation of the linear degradation path in which the unit-to-unit variation, the time-dependent error structure and the measurement error were considered simultaneously. To utilize the first inspection of each unit, Ye et al [20] improved the model in [18] We call this proposed Wiener process model with measurement errors expressed by Equation (4) the simple model.…”

Section: Introductionmentioning

confidence: 99%