Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model

Ahmadi, Mohammad Vali; Ahmadi, Jafar; Abdi, M.

doi:10.1007/s13198-019-00780-2

Cited by 3 publications

(2 citation statements)

References 37 publications

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“…Wu and Chiu [8] proposed 14 estimators for estimating the lifetime performance index based on the multiply type II censored sample. Ahmadi et al [9] provided an estimation method for process performance index based on generalized order statistics.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Process Performance Index for Two-Parameter Exponential Distribution with Measurement Error

Chiang

Bai

et al. 2022

Preprint

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Since measurement errors are inevitable in practice, and they are not considered in the existing process performance index, we propose an estimation method of process performance index for two-parameter exponential distribution with measurement errors. In this paper, the relationship between the unobservable actual value and measurement value is considered as an additive measurement error model. The maximum likelihood estimation method is considered to obtain the unknown parameters. In addition, we also use the Bootstrap method to construct confidence intervals of process performance index. The performance of the proposed estimation is investigated in terms of bias, mean square error (MSE) and average interval length. Simulation results show that the proposed estimator outperforms the estimates that do not account for measurement error. Finally, an example of the mileage data of the military personnel carrier is given to illustrate the implementation of the proposed estimation method.

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Section: Introductionmentioning

confidence: 99%

Estimation of Process Performance Index for Two-Parameter Exponential Distribution with Measurement Error

Chiang

Bai

et al. 2022

Preprint

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show abstract

“…Wu and Chiu 11 proposed 14 estimators for estimating the lifetime performance index based on the multiply type II censored sample. Ahmadi et al 12 provided an estimation method for process performance index based on generalized order statistics.…”

mentioning

confidence: 99%

Estimation of process performance index for the two-parameter exponential distribution with measurement error

Chiang

Bai

et al. 2023

Sci Rep

View full text Add to dashboard Cite

Measurement errors are inevitable in practice, but they are not considered in the existing process performance index. Therefore, we propose an estimation method of process performance index for the two-parameter exponential distribution with measurement errors to fill this gap. In this paper, the relationship between the unobservable actual value and measurement value is considered as full error model, and the maximum likelihood estimation method is considered to obtain the unknown parameters. In addition, we also use the Bootstrap method to construct confidence intervals of process performance index. The performance of the proposed estimation is investigated in terms of bias, mean square error (MSE) and average interval length. Simulation results show that the proposed estimator outperforms other estimators. Finally, an example of the mileage data of the military personnel carrier is given to illustrate the implementation of the proposed estimation method.

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Inference on the lifetime performance index of gamma distribution: point and interval estimation

Shaabani

Jafari

2022

Communications in Statistics - Simulation and Computation

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Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model

Cited by 3 publications

References 37 publications

Estimation of Process Performance Index for Two-Parameter Exponential Distribution with Measurement Error

Estimation of Process Performance Index for Two-Parameter Exponential Distribution with Measurement Error

Estimation of process performance index for the two-parameter exponential distribution with measurement error

Inference on the lifetime performance index of gamma distribution: point and interval estimation

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