Prediction of future failures in the log-logistic distribution based on hybrid censored data

Ghaida, Wassim R. Abou; Baklizi, Ayman

doi:10.1007/s13198-021-01510-3

Cited by 4 publications

(4 citation statements)

References 21 publications

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“…where y i are partly the fuzzy responses for crisp factors x i evaluated by Equations (4,5) and Ỹi are the defuzzificated (the closest) crisp value of y i . The ratings obtained based on expert assessments on tomographic images were used to evaluate the right boundaries of triangular fuzzy numbers (Figure 2).…”

Section: Construction Of Fuzzy Limits For Fatigue Curvementioning

confidence: 99%

“…Once censored refers to those cases where all censorings are equal. In [3], the problem of assessing the quality of PCM is analyzed; the author of [4] analyzed the problem of assessing the quality of PCM for mixed data with censoring on the right and left sides. In [5], the authors consider engine position sensors in urban control systems as a means of air traffic monitoring.…”

Section: Introductionmentioning

confidence: 99%

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Building the Fatigue Curve Fuzzy Intervals by the Censored Information and Tomography Images

Gadolina,

Sergeevich

2024

JGEU

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Fatigue curves of materials are very important and useful in engineering practice. A problem in the application of fuzzy set theory arises from the availability of qualitative (non-numerical), imprecise, and incomplete information. Such information is often obtained from fatigue test data. We use computed tomography (CT) to study the extent of damage to censored samples. Censored samples are samples that were excluded from testing when they reached base test criteria. A fuzzy regression model was developed taking into account linguistic variables. Linguistic variables determine the status of the samples (censored or damaged). Considering the fuzzy dependent variable in the regression model, the coefficients of the regression equation were also transformed into fuzzy variables. The fuzzy dependent variable is the time before the destruction of the censored sample. After examining the images of the defects, the degree of damage is estimated using expert judgment. The model uses the fuzzy method, from different from the classical statistical interval for a given stress amplitude on the fatigue curve, to estimate the probabilistic service life interval. To illustrate the construction of a fuzzy interval, a fuzzy fatigue curve of a polymer composite with a fuzzy interval is shown.

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Section: Construction Of Fuzzy Limits For Fatigue Curvementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Building the Fatigue Curve Fuzzy Intervals by the Censored Information and Tomography Images

Gadolina,

Sergeevich

2024

JGEU

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“…Prediction problems on hybrid censored data are also addressed in Valiollahi et al 22 . and Abou Ghaidaa and Baklizi 23 . Amleh and Raqab 24 developed some frequentist predictors of future failure times from type‐II censored Weibull data under step‐stress plan with Khamis‐Higgins model.…”

Section: Introductionmentioning

confidence: 99%

Inference for step‐stress plan with Khamis‐Higgins model under type‐II censored Weibull data

Amleh

Raqab

2023

Quality & Reliability Eng

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The accelerated life testing (ALT) is frequently used in examining the component reliability and acceptance testing. The ALT is carried out by exposing the unit to higher stress levels in order to observe data faster than those are producing under the normal conditions. The simple step‐stress model based on type‐II censoring Weibull lifetimes is studied here. In addition, the lifetimes satisfy Khamis‐Higgins model assumption. In this paper, Bayesian approaches are developed for estimating the model parameters and predicting times to failure of future censored of the simple step‐stress model from Weibull distribution using Khamis‐Higgins model. The main goal of this work consists of two parts. First, the Bayesian estimation of the unknown parameters involved in the model is considered by adopting Devroye method to generate log‐concave densities within sampling‐based algorithm under different loss functions. The Bayes and highest posterior density credible intervals are then established. Second, the estimation of the posterior predictive density of the future lifetimes are discussed to obtain the point and prediction intervals with a given coverage probability. Monte Carlo simulation is performed to check the efficiency of the developed procedures and analyze a real data set for illustrative purposes.

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“…The work [3] is devoted to the problems of assessing the quality of PCM. The authors of [4] constructed the prediction intervals for hybrid right censoring with possible left censoring data using suitable pivotal quantities and intervals based on the highest density. In [5] the authors investigated the motor position sensor is one of the monitoring targets in urban air mobility control.…”

Section: Introductionmentioning

confidence: 99%

Refinement of fatigue curve parameters using fuzzy set theory and tomography images processing of censored composite samples

Gadolina,

Zakharov,

Nisan

et al. 2023

E3S Web of Conf.

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The fatigue curve is important in engineering practice. Since the task of constructing a fatigue curve is characterized, among other things, by the presence of qualitative (not numerical), inaccurate and incomplete information, the question arises of the appropriateness of applying the theory of fuzzy sets. To clarify information on censored, namely, removed from testing upon reaching the test base specimens, the use of computed tomography to study the degree of their damage is proposed. A fuzzy regression model has been developed to consider linguistic variable that describes the status of a sample (broken or censored). With fuzzy dependent variables of the of regression model, the coefficients of the equation also turn out to be fuzzy. For the fuzzy dependent variable of the time before failures of censored samples, the degree of damage is additionally evaluated based on the rating of experts by the analysis of tomography images. The model made it possible to estimate the interval of expected life for a given stress amplitude using an uncertainty accounting method that differs from the classical statistical description. An example of constructing a fuzzy fatigue curve for polymer composite materials is considered.

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Prediction of future failures in the log-logistic distribution based on hybrid censored data

Cited by 4 publications

References 21 publications

Building the Fatigue Curve Fuzzy Intervals by the Censored Information and Tomography Images

Building the Fatigue Curve Fuzzy Intervals by the Censored Information and Tomography Images

Inference for step‐stress plan with Khamis‐Higgins model under type‐II censored Weibull data

Refinement of fatigue curve parameters using fuzzy set theory and tomography images processing of censored composite samples

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