Statistical modeling of joint reliability function using the copula method

Statistical modeling of joint reliability function using the copula method

Authors

  • Muradov R.S.,
  • M. Ziyoitdinova

Abstract

Annotation. Data analysis goals may include estimation of the failure time distribution, and study
of dependencies of failure times on study subject characteristics, exposures, or treatments, generically
referred to as covariates. Failure time methods have application in many subject matter and research
areas, including biomedical, behavioral, physical, and engineering sciences, and various industrial
settings. In this paper discusses statistical modeling of joint reliability functions using the copula method.

References

Abdushukurov A., (2011). Estimation of unknown distributions from incomplete observations and their properties. LAP. LAMBERT Acad. Publ., (In Russian).

Dabrowska D.M., (1988). Kaplan–Meier estimate on the plane, Ann. Statist., 16, 1475–1489.

Dabrowska D.M., (1989). Kaplan–Meier estimate on the plane: weak convergence, LIL and the bootstrap, J. Multivar. Anal., 29, 308–325.

Gill R.D. (1992). Multivariate Survival Analysis I. Theory Probab. Appl. Vol. 37, pp. 19-35. (In Russian)

Gill R.D. (1992). Multivariate Survival Analysis II. Theory Probab. Appl. Vol. 37, pp. 307-328. (In Russian)

Published

2024-06-08

How to Cite

Muradov, R., & Ziyoitdinova, M. (2024). Statistical modeling of joint reliability function using the copula method: Statistical modeling of joint reliability function using the copula method. MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS, 1(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/432

Issue

Section

Mathematical modeling