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[stats_examples] Replace np.sum(a * b) with a @ b #476

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Merged
mmcky merged 4 commits into from
Jul 21, 2025
Merged

[stats_examples] Replace np.sum(a * b) with a @ b #476

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97ea0a1
Replace np.sum(a * b) with a @ b
suda-yuga Jun 25, 2025
a381627
Update lectures/prob_matrix.md
suda-yuga Jun 30, 2025
d628773
Merge branch 'main' into suda-yuga-patch-5
HumphreyYang Jul 21, 2025
69b46e0
migrate the changes to the splitted lecture
HumphreyYang Jul 21, 2025
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6 changes: 3 additions & 3 deletions lectures/stats_examples.md
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Expand Up @@ -172,13 +172,13 @@ We verify the above and compute the mean and variance using `numpy`.

```{code-cell} ipython3
Benford_pmf = np.array([np.log10(1+1/d) for d in range(1,10)])
k = np.array(range(1,10))
k = np.arange(1, 10)

# mean
mean = np.sum(Benford_pmf * k)
mean = k @ Benford_pmf

# variance
var = np.sum([(k-mean)**2 * Benford_pmf])
var = ((k - mean) ** 2) @ Benford_pmf

# verify sum to 1
print(np.sum(Benford_pmf))
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