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FTSE 100 Sequence Data Example

The stock price history of the FTSE 100 index serves as a motivating example of sequentially structured data for autoregressive modeling. At each discrete time step tZ+t \in \mathbb{Z}^+, a price observation xtx_t is recorded. A trader who wants to predict whether the index will rise or decline at the next time step—absent any auxiliary features like news or financial reports—must rely solely on the history of past prices. This makes the trader's task one of estimating the conditional probability distribution P(xtxt1,,x1)P(x_t \mid x_{t-1}, \ldots, x_1) or its key statistics.

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Updated 2026-05-13

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