Multiplicative coherent systems of distributions-on the Young graph

1999 ◽  
Vol 96 (5) ◽  
pp. 3600-3608 ◽  
Author(s):  
N. A. Rozhkovskaya
Keyword(s):  
Coherent Systems ◽  
Young Graph

scholarly journals The number of failed components in a coherent working system when the lifetimes are discretely distributed

Metrika ◽  
2021 ◽  
Author(s):  
Krzysztof Jasiński
Keyword(s):  
Random Variables ◽  
Continuous Case ◽  
Coherent System ◽  
Coherent Systems ◽  
Discrete Random Variables ◽  
Independent And Identically Distributed

AbstractIn this paper, we study the number of failed components of a coherent system. We consider the case when the component lifetimes are discrete random variables that may be dependent and non-identically distributed. Firstly, we compute the probability that there are exactly i, $$i=0,\ldots ,n-k,$$ i = 0 , … , n - k , failures in a k-out-of-n system under the condition that it is operating at time t. Next, we extend this result to other coherent systems. In addition, we show that, in the most popular model of independent and identically distributed component lifetimes, the obtained probability corresponds to the respective one derived in the continuous case and existing in the literature.

scholarly journals Joint Estimation of Transmitter and Receiver IQ Imbalances Based on GSOP and GCM for Optical Coherent Systems

2021 ◽  
pp. 100084
Author(s):  
Yudong He ◽  
Xian Zhou ◽  
Jiahao Huo ◽  
Qun Zhang ◽  
Jinhui Yuan
Keyword(s):  
Joint Estimation ◽  
Coherent Systems

scholarly journals Signature-Based Representations for the Reliability of Systems with Heterogeneous Components

2011 ◽  
Vol 48 (03) ◽  
pp. 856-867 ◽  
Author(s):  
Jorge Navarro ◽  
Francisco J. Samaniego ◽  
N. Balakrishnan
Keyword(s):  
Coherent Systems ◽  
Representation Theorems ◽  
Performance Of Systems ◽  
Independent And Identically Distributed

Signature-based representations of the reliability functions of coherent systems with independent and identically distributed component lifetimes have proven very useful in studying the ageing characteristics of such systems and in comparing the performance of different systems under varied criteria. In this paper we consider extensions of these results to systems with heterogeneous components. New representation theorems are established for both the case of components with independent lifetimes and the case of component lifetimes under specific forms of dependence. These representations may be used to compare the performance of systems with homogeneous and heterogeneous components.

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