Estimation of three entropies for Dagum distribution using Type-II censored data
*Marwa KH. HassanCorresponding authormarwa_khalil2006@hotmail.comDepartment of MathematicsFaculty of EducationAin Shams UniversityCairo, 11566, Egypt0000-0003-3730-7869View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Apr 2022
- Accepted:
- 13 Sep 2022
- Published Online:
- 18 Dec 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1017
- Pages:
- 1541–1556
Abstract
Keywords
Subject Classifications
References
[1] A. Z. Abo-Eleneen, “The entropy of progressively censored samples,” Entropy, vol. 13, pp. 437-449 (2011). doi: 10.3390/e13020437.
[2] A. Al-Dubaicy and A. Yassin, “On exponentiated Gumbel distribution (Doubly Type-II censored data),” Journal of Statistics and Management Systems, vol. 24, no. 4, pp. 841-852 (2021). doi: 10.1080/09720510.2021.1884381.
[3] N. Balakrishnan and R. Aggarwala, Progressive Censoring: Theory, Methods and Applications, Boston: Birkhäuser (2000).
[4] R. A. R. Bantan, M. Elgarhy, C. Chesneau, and F. Jamal, “Estimation of entropy for inverse Lomax distribution under multiple censored data,” Entropy (Basel), vol. 22, no. 6, pp. 601, May 28 (2020). doi: 10.3390/e22060601. PMID: 33286373; PMCID: PMC7517139.
[5] F. Bhatti, G. G. Hamedani, C. M. Korkmaz, and M. Ahmad, “On the new modified Dagum distribution: Properties and applications,” Journal of Statistics and Management Systems, vol. 23, no. 8, pp. 1513-1542 (2020). doi: 10.1080/09720510.2020.1745390.
[6] T. M. Cover and J. A. Thomas, Elements of Information Theory, Hoboken, NJ, USA: Wiley (2005).
[7] C. Dagum, “A new model for personal income distribution: specification and estimation,” Economic Appliquée, vol. 30, pp. 413-437 (1977).
[8] F. Domma and S. Giordano, “A stress-strength model with dependent variables to measure household financial fragility,” Statistical Methods and Applications, vol. 21, pp. 375-389 (2012).
[9] F. Domma and S. Giordano, “A copula-based approach to account for dependence in stress-strength models,” Statistical Papers, vol. 54, pp. 807-826 (2013).
[10] B. Epstein, “Truncated life tests in the exponential case,” Annals of Mathematical Statistics, vol. 25, pp. 555-564 (1954).
[11] A. S. Hassan and A. N. Zaki, “Estimation of entropy for inverse Weibull distribution under multiple censored data,” J. Taibah Univ. Sci., vol. 13, pp. 331-337 (2019).
[12] S. B. Kang, Y. S. Cho, J. T. Han, and J. Kim, “An estimation of the entropy for a double exponential distribution based on multiply Type-II censored samples,” Entropy, vol. 14, pp. 161-173 (2012).
[13] C. Kleiber, A Guide to the Dagum Distributions, in Modeling Income Distributions and Lorenz Curves, New York: Springer, pp. 97-117 (2008).
[14] H. Morabbi and M. Razmkhah, “Entropy of hybrid censoring schemes,” Journal of Statistical Research, vol. 6, pp. 161-176 (2010).
[15] L. R. Muenz and S. B. Green, “Time saving in censored life testing,” Journal of the Royal Statistical Society, Series B, vol. 39, pp. 269-275 (1977).
[16] S. Park, “Testing exponentiality based on the Kullback-Leibler information with Type-II-censored data,” IEEE Transactions on Reliability, vol. 54, pp. 22-26 (2005).
[17] C. E. Shannon, “A mathematical theory of communication,” Bell System Technical Journal, vol. 27, pp. 379-423 (1948).
[18] A. Rényi, “On measures of entropy and information,” in Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, CA, USA, pp. 547-561 (1961).
[19] C. Tsallis, “Possible generalization of Boltzmann-Gibbs statistics,” Journal of Statistical Physics, vol. 52, pp. 479-487 (1988).
[20] K. M. Wong and S. Chan, “The entropy of ordered sequences and order statistics,” IEEE Transactions on Information Theory, vol. 36, pp. 276-284 (1990).
[21] G. Zheng and S. Park, “A note on time saving in censored life testing,” Journal of Statistical Planning and Inference, vol. 124, pp. 289-300 (2004).
[22] J. Yu, W. Gui, and Y. Shan, “Statistical inference on the Shannon entropy of inverse Weibull distribution under the progressive first-failure censoring,” Entropy (Basel), vol. 21, pp. 1209, Dec. 10 (2019). doi: 10.3390/e21121209.
