Journal ArticleDOI
Relative behavior of a coherent system with respect to another coherent system
Serkan Eryilmaz,G. Yazgı Tütüncü +1 more
- Vol. 56, Iss: 2, pp 519-529
TLDR
In this paper, the remaining lifetime and remaining number of working components of two independent coherent systems with different structures, and different types of components are considered, and signature-based expressions are obtained for the distribution of these conditional random variables.Abstract:
In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.read more
Citations
More filters
A Complete Bibliography of Publications in Statistical Papers
TL;DR: In this paper, the authors defined the following types of pairs of variables: 0 ≤ p < ∞ [562]. 2 [616, 407]. $229.95 [2259] and 1 ≤ p = p <∞ [548].
Journal ArticleDOI
Characterizations of the exponential distribution by the concept of residual life at random time
Mohamed Kayid,S. Izadkhah +1 more
TL;DR: In this paper, the convolution and the order statistics of k independent random lifetimes are considered as random times, and new characterizations of the exponential distribution are established based on the concept of residual life at such random times.
Journal ArticleDOI
Preservation properties of stochastic orders by transformation to the transmuted-G model
Hossein Nadeb,Hamzeh Torabi +1 more
TL;DR: In this article, the authors consider stochastic comparisons in the transmuted-G family with different parametrized distributions, and show that the transmutation-G model is a useful technique to construct some new distributions by adding a parameter.
Journal ArticleDOI
Preservation properties of stochastic orderings bytransformation to Harris family with different tiltparameters
TL;DR: In this paper, the authors reveal several stochastic comparisons in the Harris family with different tilt parameters and different baseline distributions with respect to the usual baseline distributions, i.e., the shift-stochastic, shift-proportional, proportional, and shifted proportional orderings.
Journal ArticleDOI
Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences
Mansour Shrahili,Mohamed Kayid +1 more
TL;DR: In this article , several characterizations for exponential distribution are derived from a new relative hazard rate measure, which is closely related to the concept of remaining lifetime at a random time, which considers the random times specified by the order statistics of a sample, the convolution of random variables, and the record values of a sequence of random variable.
References
More filters
Journal ArticleDOI
Properties of Coherent Systems with Dependent Components
TL;DR: The minimal and maximal signatures of a coherent system with exchangeable components are defined which allow us to represent the system distribution as generalized mixtures of series and parallel systems.
Journal ArticleDOI
Reliability and expectation bounds for coherent systems with exchangeable components
Jorge Navarro,Tomasz Rychlik +1 more
TL;DR: The reliability bounds for all the coherent systems with three and four exchangeable components are obtained and the respective expectation bounds for exchangeable exponential components are specified, comparing them with the lifetime expectations of systems with independent and identically distributed exponential components.
Journal ArticleDOI
Signatures of indirect majority systems
TL;DR: In this treatment, a characterization of the signature of a system with independent identically distributed components is given in terms of the number of path sets in the system as well as in levels of what are called ordered cut sets.
Journal ArticleDOI
A note on comparisons among coherent systems with dependent components using signatures
TL;DR: Some ordering properties for coherent systems with independent and identically distributed components given by Kochar et al. (Naval Res.
Journal ArticleDOI
Multivariate Lomax distribution: properties and usefulness in reliability theory
TL;DR: In this article, a multivariate generalization of the Lomax (Pareto type 2) distribution is obtained by mixing exponential variables, and its relationship to other multivariate distributions is discussed.
Related Papers (5)
Dynamic reliability models with conditional proportional hazards.
Myles Hollander,Edsel A. Peña +1 more