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Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

100%
Al-Nasser A. D., Haq M. A. u.
Statistics in Transition new series
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2021
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vol. 22
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issue 3
1-13
EN
In this research, a new acceptance sampling plan for a truncated life test is presented, assuming that the quality characteristic follows the power Lomax distribution. The operating characteristic function values are calculated for the proposed sampling plan, jointly with the optimal sample size and the producer's risk for a selection of distribution parameters. Furthermore, a comparative study with other sampling plans is introduced to demonstrate the advantages of the proposed plan. Finally, a real-life example illustrating the applicability of the proposed sampling plan in a manufacturing company is discussed.
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Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference

86%
Saran J., Pushkarna N., Sehgal S.
Statistics in Transition new series
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2021
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vol. 22
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issue 4
191-212
EN
In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes ?? and all censoring schemes (R1, R2, ..., Rm) m ≤ n in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.
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