- 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
- Abouelmagd, T. H. M., Hamed, M. S., Hamedani, G. G., Ali, M. M., Goual, H., Korkmaz, M. C., Yousof, H. M., (2019). The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test. Journal of Nonlinear Sciences and Applications, Vol. 12, pp. 314-336.
- 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.
- 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.
- Bagdonavičius, V., Nikulin, M., (2011a). Chi-squared Goodness-of-fit test for right censored Data. Int. J. Appl. Math. Stat., Vol. 24, pp. 30-50.
- Bagdonavičius, V., Nikulin, M., (2011b). Chi-squared tests for general composite hypotheses from censored samples Comptes Rendus de lácadémie des Sciences de Paris. Mathématiques, Vol. 349, pp. 219-223.
- Cordeiro, G. M., Alizadeh, M., Ozel, G., Hosseini, B., Ortega, E. M. M., Altun, E., (2016). The generalized odd log-logistic family of distributions: properties, regression models and applications. Journal of Statistical Computation and Simulation, Vol. 87, pp. 908-932
- Crowder M. J., Kimber A. C., Smith R. L and Sweeting, T. J., (1991). Statistical analysis of reliability data, CHAPMAN &HALL/CRC.
- Galanova, N., Lemeshko, B. Y., Chimitova, E. V., (2012). Using Nonparametric Goodness-of-Fit Tests to Validate Accelerated Failure Time Models. Optoelectron. Instrum. Data Process, Vol. 48, pp. 580-592.
- 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.
- 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.
- 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.
- Habib, M. G., Thomas, D. R., (1986). Chi-squared goodness-of-fit tests for randomly censored Data. Ann. Stat., Vol. 14, pp. 759-765.
- Hamedani, G.G., Goual, H., Emam, W., Tashkandy, Y., Ahmad Bhatti, F., Ibrahim, M.,Yousof, H.M., (2023). A New Right-Skewed One-Parameter Distribution with Mathematical Characterizations, Distributional Validation, and Actuarial Risk Analysis, with Applications. Symmetry, Vol. 15, pp. 7451297.
- Hollander, M., Pena, E., (1992). Chi-square goodness-of-fit test for randomly censored data. JASA, Vol. 87, pp. 458-463.
- Ibrahim, M., Aidi, K., Ali, M. M. and Yousof, H. M., (2022). A Novel Test Statistic for Right Censored Validity under a new Chen extension with Applications in Reliability and Medicine. Annals of Data Science, forthcoming. doi.org/10.1007/s40745-022-00416-6
- Ibrahim. M., Aidi, K., Ali, M. M. and Yousof, H. M., (2021). The Exponential Generalized Log-Logistic Model: Bagdonavičius-Nikulin test for Validation and Non-Bayesian Estimation Methods. Communications for Statistical Applications and Methods, Vol. 29, pp. 681-705.
- 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.
- 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.
- Klein J. P. and Moeschberger M. L., (1997). Survival Analysis: Techniques for Censored and Truncated Data, Statistics for Biology and Health.
- Klein J. P. and Moeschberger M. L., (2003). Survival Analysis: Techniques for Censored and Truncated Data. Springer, New York.
- 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.
- 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.
- Nikulin. M. S., (1973a). Chi-squared test for normality. In: proceedings of the International Vilnius Conference on Probability Theory and Mathematical Statistics, Vol. 2, pp. 119-122.
- Nikulin. M. S., (1973b). Chi-squared test for continuous distributions with shift and scale parameters. Theory of Probability and its Applications, Vol. 18, pp. 559-568.
- Nikulin. M. S., (1973c). On a Chi-squared test for continuous distributions. Theory of Probability and its Applications, Vol. 19, pp. 638-639.
- Rao, K. C., Robson, D. S., (1974). A Chi-square statistic for goodness-of-fit tests within the exponential family. Communication in Statistics, Vol. 3, pp. 1139-1153.
- Ravi, V., and Gilbert, P. D., (2009). BB: An R package for solving a large system of nonlinear equations and for optimizing a high-dimensional nonlinear objective function, J. Statist. Software, 32(4).
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- ISSN
- 1234-7655
- Język
- eng
- URI / DOI
- http://dx.doi.org/10.59170/stattrans-2023-048