When defining a discrete - time stochastic process, the author of An Introduction to Discrete-Valued Time Series states that such a process is a sequence of random variables $(X_t)_{\mathcal{T}}$ where $\mathcal{T}$ is both a discrete and linearly ordered set. Does this mean that $\mathcal{T}$ is equally spaced?
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2There is no notion of "spaced" (aka. metric) implied – Hagen von Eitzen Sep 29 '18 at 12:12
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So what does the author mean by linearly ordered? Does he just mean that the less than or equal to relation holds without contradiction for all elements of the set? – Vykta Wakandigara Sep 29 '18 at 12:29
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Quite. Read more about total orders on wikipedia. – JMoravitz Sep 29 '18 at 12:43