The modified Bagdonavičius-Nikulin goodness-of-fit test statistic for the right censored distributional validation with applications in medicine and reliability

Haitham  M. Yousof; M. Masoom Ali; Khaoula Aidi; Mohamed Ibrahim

doi:https://doi.org/10.59170/stattrans-2023-048

The modified Bagdonavičius-Nikulin goodness-of-fit test statistic for the right censored distributional validation with applications in medicine and reliability

Haitham M. Yousof Department of Statistics, Mathematics and Insurance, Benha University, Benha 13518, Egypt ORCID:https://orcid.org/ 0000-0003-4589-4944 , M. Masoom Ali Department of Mathematical Sciences Ball State University, Muncie, Indiana 47306, USA ORCID:https://orcid.org/ 0000-0002-0120-9442 , Khaoula Aidi Laboratory of probability and statistics LaPS, University Badji Mokhtar, Annaba, Algeria ORCID:https://orcid.org/ 0000-0002-4756-3690 , Mohamed Ibrahim Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt ORCID:https://orcid.org/ 0000-0003-4893-9669 Statistics in Transition new series, vol. 24, 2023, 4, pages: 1-18 Published online: 8 September 2023 https://doi.org/10.59170/stattrans-2023-048 Citation: Yousof, H. M., Ali, M. M., Aidi, K., Ibrahim, M., 2023. The modified Bagdonavičius-Nikulin goodness-of-fit test statistic for the right censored distributional validation with applications in medicine and reliability. Statistics in Transition new series, 24(4), pp. 1-18. https://doi.org/10.59170/stattrans-2023-048

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ABSTRACT

A modified version of Bagdonavičius-Nikulin goodness-of-fit statistical test is presented for validation under the right censor case. Simulation via Barzilai-Borwein algorithm is performed for assessing the right-censorship estimation method. Four right censored data sets are analyzed under the new modified test statistic for checking the distributional validation.

KEYWORDS

inverted Weibull distribution, censored validation, Bagdonavičius-Nikulin, goodness-of-fit testing

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