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🌐 [translation-sync] [perm_income.md] Update np.random → Generator API #199

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Merged
mmcky merged 2 commits into from
Jul 23, 2026
Merged

🌐 [translation-sync] [perm_income.md] Update np.random → Generator API #199

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e5c95bf
Update translation: lectures/perm_income.md
mmcky Jul 23, 2026
efc7b28
Update translation: .translate/state/perm_income.md.yml
mmcky Jul 23, 2026
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10 changes: 5 additions & 5 deletions .translate/state/perm_income.md.yml
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Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
source-sha: a73ba0f7db0a6783ab5b9cca269a9f95f88106cb
synced-at: "2025-06-17"
model: unknown
mode: RESYNC
source-sha: ab687aad2134b4eee2835f896be4b956e73001bb
synced-at: "2026-07-23"
model: claude-sonnet-5
mode: UPDATE
section-count: 6
tool-version: 0.20.0
tool-version: 0.22.0
10 changes: 5 additions & 5 deletions lectures/perm_income.md
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Expand Up @@ -501,8 +501,8 @@ r = 0.05
T = 60

@jit
def time_path(T):
w = np.random.randn(T+1) # w_0, w_1, ..., w_T
def time_path(T, rng):
w = rng.standard_normal(T+1) # w_0, w_1, ..., w_T
w[0] = 0
b = np.zeros(T+1)
for t in range(1, T+1):
Expand All @@ -511,7 +511,8 @@ def time_path(T):
c = μ + (1 - β) * (σ * w - b)
return w, b, c

w, b, c = time_path(T)
rng = np.random.default_rng()
w, b, c = time_path(T, rng)

fig, ax = plt.subplots(figsize=(10, 6))

Expand All @@ -534,7 +535,7 @@ fig, ax = plt.subplots(figsize=(10, 6))

b_sum = np.zeros(T+1)
for i in range(250):
w, b, c = time_path(T) # Generate new time path
w, b, c = time_path(T, rng) # Generate new time path
rcolor = random.choice(('c', 'g', 'b', 'k'))
ax.plot(c, color=rcolor, lw=0.8, alpha=0.7)

Expand Down Expand Up @@ -1025,4 +1026,3 @@ $$
[^f5]: 如果由$y^t$张成的线性空间等于由$w^t$张成的线性空间，则过程$y_t$的移动平均表示被称为**基本的**。通过卡尔曼滤波获得的时不变创新表示在构造上是基本的。

[^f8]: 相关思想的有趣应用请参见{cite}`CampbellShiller88`、{cite}`LettLud2001`、{cite}`LettLud2004`。

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