Department of Statistics, Faculty of Mathematical Sciences, Alzahra University
Abstract
Copula functions are useful tools in modelling the dependence between random variables, but most existing copula functions are symmetric, while in many applications, asymmetric copula functions are required. One of these applications is reliability modeling, where asymmetric copula functions can explain different tail dependencies and provide a better model. Therefore, the theory of constructing asymmetric copula functions that can model a wider range of data has been developed. In this re search, while reviewing the methods of constructing asymmetric copula functions that can provide various tail dependencies. These functions are used to estimate the two dimensional reliability of data on the age and usage of Rana and Dena cars.
Shams, S. & Borzoee, S. (2025). Asymmetric Copula Functions Applicaton in Reliablity Estimation:
Case study for Rana and Dena cars. Andishe_ye Amari, 27(1), 51-58.
MLA
Shams, S., & Borzoee, S. "Asymmetric Copula Functions Applicaton in Reliablity Estimation:
Case study for Rana and Dena cars", Andishe_ye Amari, 27, 1, 2025, 51-58.
HARVARD
Shams S., Borzoee S. (2025). 'Asymmetric Copula Functions Applicaton in Reliablity Estimation:
Case study for Rana and Dena cars', Andishe_ye Amari, 27(1), pp. 51-58.
CHICAGO
S. Shams & S. Borzoee, "Asymmetric Copula Functions Applicaton in Reliablity Estimation:
Case study for Rana and Dena cars," Andishe_ye Amari, 27 1 (2025): 51-58,
VANCOUVER
Shams S., Borzoee S. Asymmetric Copula Functions Applicaton in Reliablity Estimation:
Case study for Rana and Dena cars. Andishe_ye Amari. 2025;27(1):51-58 (In Persian).
