Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

Some results on dynamic discrimination measures of order (α,β)

Sayfa
179–188
Yayın Tarihi
2022-10-18
DOI
—
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Finally, characterization results of the proportional hazards and proportional reversed hazards models are given. 2000 AMS Classification: 62N05, 90B25

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we propose two measures of discrimination of order (α,β) for residual and past lifetimes.
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Temel Bulgular & Veri:Lower and upper bounds of the proposed measures are derived.
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Sonuç & Katkı:Finally, characterization results of the proportional hazards and proportional reversed hazards models are given. 2000 AMS Classification: 62N05, 90B25
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we propose two measures of discrimination of order (α,β) for residual and past lifetimes. Lower and upper bounds of the proposed measures are derived. Some bounds are obtained by considering weighted distributions and subsequently, examples are presented. Finally, characterization results of the proportional hazards and proportional reversed hazards models are given. 2000 AMS Classification: 62N05, 90B25

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Bu Makaleye Atıf Yap

KAYAL, S. (2022). Some results on dynamic discrimination measures of order (α,β). Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 179–188. https://ajindex.com/articles/530284

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Kaynakça (18)

  1. Abraham, B. and Sankaran, P. G. Renyi’s entropy for residual lifetime distribution, Statist. Papers 46 (1), 17–30, 2005
  2. Asadi, M., Ebrahimi, N., Hamedani, G. H. and Soofi, E. Maximum dynamic entropy models, J. Appl. Prob. 41 (2), 379–390, 2004
  3. Asadi, M., Ebrahimi, N., Hamedant, G. H. and Soofi, M. Minimum dynamic discrimination information models, J. Appl. Prob. 42 (3), 643–660, 2005
  4. Asadi, M., Ebrahimi, N. and Soofi, M. Dynamic generalized information measures, Statist. Prob. Lett., 71 (1), 89–98, 2005
  5. Cox, D. R. and Oakes, D. Analysis of survival data (Chapman and Hall, 2001)
  6. Di Crescenzo, A. and Longobardi, M. Entropy-based measure of uncertainty in past lifetime distributions, J. Appl. Prob. 39 (2), 434–440, 2002
  7. Di Crescenzo, A. and Longobardi, M. A measure of discrimination between past lifetime distributions, Statist. Prob. Lett. 67 (2), 173–182, 2004
  8. Di Crescenzo, A. and Longobardi, M. On weighted residual and past entropies, Sci. Math. Jpn. 64 (2), 255–266, 2006
  9. Ebrahimi, N. How to measure uncertainty about residual life time, Sankhya 58(A) (1), 48–57, 1996
  10. Ebrahimi, N. and Kirmani, S. N. U. A. A characterization of the proportional hazards model through a measure of discrimination between two residual life distributions, Biometrika 83 (1), 233–235, 1996
  11. Ebrahimi, N. and Kirmani, S. N. U. A. A measure of discrimination between two residual life-time distributions and its applications, Ann. Inst. Statist. Math. 48 (2), 257–265, 1996
  12. Gupta, R. C. and Kirmani, S. N. U. A. The role of weighted distribution in stochastic modeling, Comm. Statist. Theory Methods 19 (9), 3147–3162, 1990
  13. Kullback, S. and Leibler, R. A. On information and sufficiency, Ann. Math. Statist. 22 (1), 79–86, 1951
  14. Maya, S. S. and Sunoj, S. M. Some dynamic generalized information measures in the context of weighted models, Statistica 68 (1), 71–84, 2008
  15. Navarro, J., Del Aguila, Y. and Ruiz, J. M. Characterizations through reliability measures from weighted distributions, Statist. Papers 42 (3), 395–402, 2001
  16. Navarro, J., Sunoj, S. M. and Linu, M. N. Characterizations of bivariate models using dynamic Kullback- Leibler discrimination measures, Statist. Prob. Lett. 81 (11), 1594–1598, 2011
  17. Rao, C. R. On discrete distributions arising out of methods of ascertainment, Sankhya 27(A) (2/4), 311–324, 1965
  18. Sunoj, S. M. and Linu, M. N. On bounds of some dynamic information divergence measures, Stati