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Virtual event hosted by DARE Sydney University

DARE Seminar Series!

Reliability Inference with Extended Sequential Order Statistics by Tim Pesch
In this presentation I

will address the complexity of non-identical components in multi-component, load sharing systems.

For most technical systems

the assumption of heterogeneous components is reasonable since components are either of different type or vary in their functions within the system

. While most reliability related work resorts to the assumption of homogeneous components,

I aim to address the often more realistic assumption of heterogeneous components extending the model of so called 'Extended Sequential Order Statistics' by two novel inferential methods.

Firstly, the derivation of Maximum Likelihood Estimates

(MLE's) of the underpinning model parameters, and secondly, the introduction of a likelihood ratio test

which can decide on whether components can be assumed identical

. Both methods are powerful tools in reliability contexts. The former increases our understanding of component behaviour, especially upon failure of other components. This knowledge empowers system operators to make better decisions regarding maintenance schedules and failure time prediction. The latter supports operators in their quest of identifying component equivalence

.
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