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Fig 1.

Data processing diagram in the reliability analysis; reprinted from Diallo et al. [14].

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Fig 2.

The relationship between classical statistical methods; reprinted from Pijnenburg [19].

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Fig 3.

A conceptual framework of the RUL based on the reliability analysis in the frailty model.

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Table 1.

The GOF values of classical and frailty models for the excavator failure data.

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Table 2.

The exponential function in the classical model for the excavator’s failure data.

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Table 3.

The parameter of λ in the classical-exponential model for the excavator’s failure data.

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Table 4.

The parameters of the classical Weibull-frailty function for the excavator failure data.

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Table 5.

The parameters of the Weibull-frailty function for the excavator’s failure data.

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Fig 4.

The reliability analysis in the classic-exponential model compared to the Weibull-frailty-model.

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Fig 5.

The plot of RUL values during 80 operational hours of the excavator in the classical-exponential model.

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Table 6.

RUL values during 80 operational hours of the excavator in the classical-exponential model.

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Fig 6.

The plot of RUL values during 80 operational hours of the excavator in the Weibull-frailty model.

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Table 7.

RUL values during 80 operational hours of the excavator in the Weibull-frailty model.

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