Correct definition for statistical phenomenon

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SUMMARY

The discussion focuses on defining the statistical phenomenon related to random service time ##T## and residual service time ##R##. It establishes that if the expected value of ##R## is less than or equal to the expected value of ##T##, then ##T## can be referred to as "service time." Additionally, if ##T## stochastically dominates ##R##, ##T## is characterized as "dominant service time." These definitions are critical for accurately describing service processes in queuing theory.

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Suppose we have a random service time ##T## with residual service time ##R## observed at some point along the way.

What is the correct way to call ##T## (in 1-2 words, without having to introduce ##R##) if:
1) For any observation time, ##\mathbb{E}R\leq\mathbb{E}T##?
2) For any observation time, ##R<T## in distribution i.e. ##T## stochastically dominates ##R##.
 
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