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Testing Reliability: Factorial Design with Data from A Log-EpsilonSkew-Normal Distribution

Author

Listed:
  • Bahr Kadhim MOHAMMED

    (The Bucharest University of Economic Studies and University of Al-Qadisiyah,Irak)

  • Monica ROMAN

    (The Bucharest University of Economic Studies)

  • Meshal Harbi ODAH

    (The Bucharest University of Economic Studies and Muthanna University, Irak)

  • Ali SadigMohommed BAGER

    (The Bucharest University of Economic Studies and Muthanna University, Irak)

Abstract

Experimental designs are among the most popular methods applied forthequality design or for life testing of products, in orderto improve products’ reliability. This work develops an integrated methodology for improving quality and reliability when the failure time (t) of the product as a response variable is distributed according to a log-epsilon-skew-normal (LESN) distribution. Two factorial design of experiments (𝟐𝟐) is used to estimate and test the significance of the ANOVA model, based on the likelihood ratio test (LRT). A simulation study and a study with real data are conducted to investigate the performance of the proposed method and the research findings show that the proposed method performs well.

Suggested Citation

  • Bahr Kadhim MOHAMMED & Monica ROMAN & Meshal Harbi ODAH & Ali SadigMohommed BAGER, 2017. "Testing Reliability: Factorial Design with Data from A Log-EpsilonSkew-Normal Distribution," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(3), pages 143-160.
    • Handle: RePEc:cys:ecocyb:v:50:y:2017:i:3:p:143-160
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    More about this item

    Keywords

    Design of experiments; reliability; log-epsilon–skew-normal distribution; likelihoodratio test; simulation study.;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General

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