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Autor
Yousof Haitham M. (Benha University, Egypt), Ali M. Masoom (Ball State University, USA), Aidi Khaoula (University Badji Mokhtar, Annaba, Algeria), Ibrahim Mohamed (Damietta University, Egypt)
Tytuł
The Modified Bagdonavičius-Nikulin Goodness-of-fit Test Statistic for the Right Censored Distributional Validation with Applications in Medicine and Reliability
Źródło
Statistics in Transition, 2023, vol. 24, nr 4, s. 1-18, tab., bibliogr. 33 poz.
Słowa kluczowe
Analiza statystyczna, Rozkład prawdopodobieństwa, Walidacja
Statistical analysis, Probability distributions, Validation
Uwagi
summ.
Bagdonavičius Vilijandas, Nikulin Mikhail
Abstrakt
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. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Pełny tekst
Pokaż
Bibliografia
Pokaż
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  2. Abouelmagd, T. H. M., Hamed, M. S., Handique, L., Goual, H., Ali, M. M., Yousof, H. M., Korkma, M. C., (2019). A new class of distributions based on the zero truncated Poisson distribution with properties and applications, Vol. 12, pp. 152-164.
  3. Aidi, K., Butt, N. S., Ali, M. M., Ibrahim, M., Yousof, H. M., Shehata, W. A. M., (2021). A Modified Chi-square Type Test Statistic for the Double Burr X Model with Applications to Right Censored Medical and Reliability Data. Pakistan Journal of Statistics and Operation Research, Vol. 17, pp. 615-623.
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  9. Goual, H. and Yousof, H. M., (2020). Validation of Burr XII inverse Rayleigh model via a modified chi-squared goodness-of-fit test. Journal of Applied Statistics, Vol. 47, pp. 393-423.
  10. Goual, H., Yousof, H. M. and Ali, M. M., (2020). Lomax inverse Weibull model: properties, applications, and a modified Chi-squared goodness-of-fit test for validation. Journal of Nonlinear Sciences & Applications (JNSA), Vol. 13, pp. 330-353.
  11. Goual, H., Yousof, H. M. and Ali, M. M., (2019). Validation of the odd Lindley exponentiated exponential by a modified goodness of fit test with applications to censored and complete data. Pakistan Journal of Statistics and Operation Research, Vol. 15, pp. 745-771.
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  17. Ibrahim, M., Altun, E., Goual, H., and Yousof, H. M., (2020). Modified goodness-of-fit type test for censored validation under a new Burr type XII distribution with different methods of estimation and regression modelling. Eurasian Bulletin of Mathematics, Vol. 3, pp. 162-182.
  18. Ibrahim, M., Yadav, A. S., Yousof, H. M., Goual, H., & Hamedani, G. G., (2019). A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation. Communications for Statistical Applications and Methods, Vol. 26, pp. 473-495.
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  21. Mansour, M. M., Ibrahim, M., Aidi, K., Shafique Butt, N., Ali, M. M., Yousof, H. M., & Hamed, M. S. (2020a). A New Log-Logistic Lifetime Model with Mathematical Properties, Copula, Modified Goodness-of-Fit Test for Validation and Real Data Modelling. Mathematics, Vol. 8, pp. 1508.
  22. Mansour, M., Rasekhi, M., Ibrahim, M., Aidi, K., Yousof, H. M., & Elrazik, E. A., (2020b). A New Parametric Life Distribution with Modified Bagdonavičius- Nikulin Goodness-of-Fit Test for Censored Validation, Properties, Applications, and Different Estimation Methods. Entropy, Vol. 22, pp. 592.
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  28. Emam, W., Tashkandy, Y., Goual, H., Hamida, T., Hiba, A., Ali, M.M., Yousof, H.M., Ibrahim, M., (2023). A New One-Parameter Distribution for Right Censored Bayesian and Non-Bayesian Distributional Validation under Various Estimation Methods. Mathematics 2023, Vol. 11, pp. 897.
  29. Yadav, A. S., Goual, H., Alotaibi, R. M., Ali, M. M., Yousof, H. M., (2020). Validation of the Topp-Leone-Lomax model via a modified Nikulin-Rao-Robson goodnessof- fit test with different methods of estimation. Symmetry, Vol. 12, pp. 57.
  30. Yadav, A. S., Shukla, S., Goual, H., Saha, M. and Yousof, H. M., (2022). Validation of xgamma exponential model via Nikulin-Rao-Robson goodness-of- fit test under complete and censored sample with different methods of estimation. Statistics, Optimization & Information Computing, Vol. 10, pp. 457-483.
  31. Yousof, H. M., Al-nefaie, A. H., Aidi, K., Ali, M. M., Ibrahim, M., (2021a). A Modified Chi-square Type Test for Distributional Validity with Applications to Right Censored Reliability and Medical Data: A Modified Chi-square Type Test. Pakistan Journal of Statistics and Operation Research, Vol. 17, pp. 1113-1121.
  32. Yousof, H. M., Aidi, K., Hamedani, G. G and Ibrahim, M., (2021b). A new parametric lifetime distribution with modified Chi-square type test for right censored validation, characterizations and different estimation methods. Pakistan Journal of Statistics and Operation Research, Vol. 17, pp. 399-425.
  33. Yousof, H. M., Ali, M. M., Goual, H. and Ibrahim. M., (2021c). A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and modified right censored test for validation. Statistics in Transition new series, Vol. 23, pp. 1-23.
Cytowane przez
Pokaż
ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.59170/stattrans-2023-048
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