Estimation of total time on test for large samples

Spiroiu, Marius Adrian

doi:10.1051/matecconf/201711209008

Cited by 2 publications

(4 citation statements)

References 6 publications

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“…The total time on test (TTT) statistic is defined as the sum of the operating times of all units, regardless of whether they are still in service (units without failure) or not (units that have failed) [9].…”

Section: The Total Time On Test Transform Analysismentioning

confidence: 99%

“…On the basis of the TTT can be obtained the so-called TTT transform plot, which has the property that the slope of the graphical representation in any point is the inverse of the failure rate at that point [9]. Consequently, the shape of the TTT transform plot provides information about the failure rate.…”

Section: The Total Time On Test Transform Analysismentioning

confidence: 99%

“…Consequently, the shape of the TTT transform plot provides information about the failure rate. The scaled TTT transform is defined by the ratio [9]:…”

Section: The Total Time On Test Transform Analysismentioning

confidence: 99%

See 2 more Smart Citations

Failure modes analysis of railway wheel

Spiroiu

Nicolescu²

2018

MATEC Web Conf.

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Abstract. In this paper are analysed the wheel failure modes, based on real field data, obtained during a period of a year of operation of freight wagons. The failure modes and their occurrence absolute frequencies are identified and a Pareto analysis is carried out. In the case of the four major failure modes a total time on test transform is performed and the failure probabilistic models are estimated, based on the Weibull distribution. The failure rates of the four failure modes are close to be constant, thus the behaviour of the railway wheel -in its normal life -is close to that of a non-ageing system. This conclusion is in line with the general theory regarding the behaviour of systems during their normal/useful life.

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Section: The Total Time On Test Transform Analysismentioning

confidence: 99%

Section: The Total Time On Test Transform Analysismentioning

confidence: 99%

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Failure modes analysis of railway wheel

Spiroiu

Nicolescu²

2018

MATEC Web Conf.

Self Cite

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“…In addition, for distributions with decreasing generalized failure rate, Bieniek [12] and Bieniek and Szpak [13] derived optimal bounds for the mean of TTT. Spiroiu [47] also calculated the average time spent on the test, mean of TTT, for a large sample. All of these show the pivotal role of TTT transforms in data analysis.…”

Section: Introductionmentioning

confidence: 99%

Theoretical aspects of total time on test transform of weighted variables and applications

Esfahani¹,

Borzadaran²,

Amini³

2023

Kybernetika

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Although the total time on test (TTT ) transform is not a newly discovered concept, it has many applications in various fields. On the other hand, weighted distributions are extensively developed by the statisticians to tackle the insufficiency of the standard statistical distributions in modeling the arising data from real-world problems in the contexts like medicine, ecology, and reliability engineering. This paper develops the TTT transform for the weighted random variables and investigates the behavior of the failure rate function of such variables based on the TTT transform. In addition, the conditions for establishing the T T T transform ordering for weight variables and its relationship with some stochastic orders have been investigated, and the conditions for establishing the TTT transform order as well as the presentation of the new better than used in total time on test transform (NBUT ) class of the weighted variables have also been studied. Finally, by analyzing the real data sets, applications of the transform introduced in the fit of a model is presented, and it is shown that weighted models have a significant advantage over the base models.Keywords: total time on test transform, generalized failure rate, generalized reversed failure rate, new better than used in total time on test transform, weight function

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Estimation of total time on test for large samples

Cited by 2 publications

References 6 publications

Failure modes analysis of railway wheel

Failure modes analysis of railway wheel

Theoretical aspects of total time on test transform of weighted variables and applications

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