On Likelihood Ratio Ordering of Parallel Systems with Two Generalized Exponential Components
Year: 2022
Type: article
Abstract: components in the likelihood ratio order. Material and MethodsThe comparison of essential characteristics associated with lifetimes of technical systems is an exciting topic in reliability theory since it usually enables us to approximate complex systems with simpler systems and subsequently obtain various bounds for important ageing characteristics of the complex system.A convenient tool for this purpose is the theory of stochastic orderings. Results and DiscussionConsider two parallel systems with their component lifetimes following a generalized exponential distribution.In this paper, based on existing shape and scale parameters included in the distribution of one of the systems, we introduce a region such that if the vector of scale parameters of another parallel system lies in that region, then the likelihood ratio ordering between the two systems hold.An extension of this result is also presented for the case when the lifetimes of components follow exponentiated Weibull distribution. ConclusionIn this paper, based on the shape and scale vectors of parameters involved in the lifetime distribution of a parallel system consisting of two independent heterogeneous generalized exponential components, a region is obtained such that if the scale vector of parameters of another parallel system lies in this region, then the likelihood ratio order between systems holds.
Source: Journal of Statistical Sciences
Institution: Zabol University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4290803347