2021
DOI: 10.1088/1742-6596/1879/3/032015
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Reliability of one Strength-four Stresses for Lomax Distribution

Abstract: In this paper, we find the reliability R of a component when it is exposed to four independent stresses and it having one strength for Lomax distribution. the reliability R was estimated by using four different estimations (MLE, RgE, LSE, and WLSE) methods. A comparison was made between the results of estimating the reliability function by MSE and MAPE criteria, that will get from a Monte Carlo simulation study. We found that the performance of ML is the best to.

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Cited by 4 publications
(4 citation statements)
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“…Their complexity increased and it became impossible to do without them, so attention was increased to to the reliability of these machines and industrial models to avoid their downtime and loss of time [1][2][3]. Reliability is simply defined as the working time of the component and can be found using the function R = pr (X < Y ) [4,5], where X stands for the random variable of strength and Y stands for the random variable of stress [6,7], where the strength of the component resists stress and if the stress is greater than the strength the component stops working [8][9][10]. One of the best ways to keep the model working is to use cascade models, which are considered a special type of standby redundancy system, cascade models are a hierarchical standby redundancy where the failed unit of the model can be replaced by an active standby component according to the hierarchical order of the model and thus the model continues to work and reliability increases [11,12].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Their complexity increased and it became impossible to do without them, so attention was increased to to the reliability of these machines and industrial models to avoid their downtime and loss of time [1][2][3]. Reliability is simply defined as the working time of the component and can be found using the function R = pr (X < Y ) [4,5], where X stands for the random variable of strength and Y stands for the random variable of stress [6,7], where the strength of the component resists stress and if the stress is greater than the strength the component stops working [8][9][10]. One of the best ways to keep the model working is to use cascade models, which are considered a special type of standby redundancy system, cascade models are a hierarchical standby redundancy where the failed unit of the model can be replaced by an active standby component according to the hierarchical order of the model and thus the model continues to work and reliability increases [11,12].…”
Section: Introductionmentioning
confidence: 99%
“…There are many papers that have dealt with this topic, such as: Khan and Jan [13] derived the reliability of a multi-component system when the factors follow the Burr distribution. Khaleel [9] found the reliability of a model of one component that has strength and is subjected to four stresses. Khaleel and Karam [12,14] derived the reliability function of the cascade model for two primary components and a backup component.…”
Section: Introductionmentioning
confidence: 99%
“…Khaleel [5] derived a model of a single component that has strength and is subjected to several stresses when the stress and strength factors follow the Lomax distribution. Salman and Hamad [6] studied the estimation of the reliability function by several different estimation methods when the stress and durability factors trace the Lomax distribution.…”
Section: Introductionmentioning
confidence: 99%
“…[26] discuss the estimation of Stress-Strength Reliability for P [Y < X < Z] using Dagum Distribution. [27] the reliability of one strength-four stresses for Lomax Distribution was studied.…”
Section: Introductionmentioning
confidence: 99%