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Link the probability sequence together - #819

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sequence-crosslinks
Aug 3, 2026
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Link the probability sequence together#819
jstac merged 1 commit into
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sequence-crosslinks

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@jstac

@jstac jstac commented Aug 3, 2026

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fitting_distributions (#814) was reachable only from the table of contents and from heavy_tails. Neither of the two lectures it builds on mentioned it, so a reader working through the sequence in order had no pointer forward.

Before / after

lecture linked to, before after
prob_dist observed_distributions, heavy_tails + fitting_distributions
observed_distributions prob_dist, heavy_tails + fitting_distributions
mle nothing fitting_distributions

The three edits

  • prob_dist now introduces itself as the first of three and names both of the others, replacing a sentence that named only observed_distributions.
  • observed_distributions points forward in its outline, and again at the place where it fits a normal to the Amazon returns by matching sample moments to population moments. That is the method of moments — unnamed there, and the subject of the next lecture — so the pointer sits exactly where the reader meets the idea for the first time.
  • mle gains its first cross-reference to any other lecture. Its two steps for maximum likelihood — guess the distribution, then estimate the parameters — are precisely the two questions fitting_distributions is organized around, so it now says so. This closes a loop: fitting_distributions already sends readers to mle twice, once for a fuller treatment of parameter estimation and once for the Student t fit that the method of moments handles poorly.

Prose only; both executable lectures still run end to end.

🤖 Generated with Claude Code

fitting_distributions (#814) was reachable only from the table of contents and
from heavy_tails. Neither of the two lectures it builds on mentioned it, so a
reader working through the sequence in order had no pointer forward.

- prob_dist now introduces itself as the first of three and names both of the
  others, replacing a sentence that named only observed_distributions.
- observed_distributions points forward in its outline, and again at the place
  where it fits a normal to the Amazon returns by matching moments -- which is
  the method of moments, unnamed there, and the subject of the next lecture.
- mle gains its first cross-reference to another lecture. Its two steps for
  maximum likelihood, guess the distribution and estimate the parameters, are
  the two questions fitting_distributions is organized around, so it now says
  so. That closes a loop: fitting_distributions already sent readers to mle
  twice, once for a fuller treatment of parameter estimation and once for the
  Student t fit that the method of moments handles poorly.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
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@jstac
jstac merged commit a453cf5 into main Aug 3, 2026
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@jstac
jstac deleted the sequence-crosslinks branch August 3, 2026 20:07
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