Nonlinear Functional Analysis and Applications

The Basic Sciences Research Institute, Kyungnam University (경남대학교 기초과학연구소)
권호 표지
DOI QR코드

DOI QR Code

GENERALIZED LINDLEY DISTRIBUTION USING PROPORTIONAL HAZARD FAMILY AND INFERENCE OF FAILURE TIME DATA

  • Ahmed AL-Adilee (Department of Mathematics, Faculty of Education, University of Kufa) ;
  • Hawraa A. AL-Challabi (Department of Mathematics, Faculty of Education, University of Kufa) ;
  • Hassanein Falah (General Directorate of Education in Babil Governorate) ;
  • Dalael Saad Abdul-Zahra (Department of Medical Physics, Hilla University College)
  • Received : 2022.12.17
  • Accepted : 2023.04.23
  • Published : 2023.09.15
⟨ Previous Next ⟩

Abstract

In this paper, we propose a generalization of Lindley distribution (GLD) via a special structure that is concern with progressively Type-II right censoring and time failure data. We study the modern properties that we have built by such combination, for example, survival function, hazard function, moments, and estimation by non-Bayesian methods. Application on some selected data related to Lindley distribution (LD) and (ED) have been employed to find out the best distribution that can fit data comparing with the GLD.

Keywords

References

  1. A. Asgharzadeh and R. Valiollahi, Inference for the proportional Hazards family under progressive Type-II censoring, JIRSS, 8(1-2) (2009), 35-53. 
  2. A. Alzaatreh, C. Lee and F. Famoye, A new method for generating families of continuous distributions, METRON, DOI 10.1007/s40300-013-0007-y, Sapienza Universit di Roma, 71 (2013), 63-79. 
  3. A.W. Marshall's and I. Olkin, Life distributions. Structure of nonparametric, semiparametric, and parametric families, Springer Series in Statistics, (2007), DOI:10.1007/978-0-387-68477-2. 
  4. C.E. Ebeling, An Introduction to Reliability and Maintainability Engineering, Second ed., Waveland Press, 2010, ISBN 978-1577666257. 
  5. M. Ghitany, B. Atieh andf S. Nadarajah, Lindley Distribution and Its Application. Math. Comput. Simul., 74(4) (2008), 493-506.  https://doi.org/10.1016/j.matcom.2007.06.007
  6. N. Balakrishnan, Progressive censoring methodology: an appraisal, Test, 16, (2007), 211-259.  https://doi.org/10.1007/s11749-007-0061-y
  7. N. Balakrishnan and R. Aggarwala, Progressive Censoring, Theory, Methods and Applications, Boston: Birkhauser, 2000. 
  8. S. Fink and R. Brown, Survival Analysis. Gastroenterol Hepatol (N Y), 2(5) (2006), 380-383. 
  9. T.W. Anderson and D.A. Darling, Asymptotic theory of certain "goodnessof-fit" criteria based on stochastic processes. Ann. Math. Stat., 23(2) (1952), 193-212. https://doi.org/10.1214/aoms/1177729437