From e5c95bf717b6d3b53c30ee0249fc564b0e6090ac Mon Sep 17 00:00:00 2001 From: Matt McKay Date: Thu, 23 Jul 2026 13:51:16 +1000 Subject: [PATCH 1/2] Update translation: lectures/perm_income.md --- lectures/perm_income.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/lectures/perm_income.md b/lectures/perm_income.md index bc6475b..28d3057 100644 --- a/lectures/perm_income.md +++ b/lectures/perm_income.md @@ -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): @@ -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)) @@ -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) @@ -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`。 - From efc7b2881c8221ef2ae5146925bf6beafebd92bb Mon Sep 17 00:00:00 2001 From: Matt McKay Date: Thu, 23 Jul 2026 13:51:17 +1000 Subject: [PATCH 2/2] Update translation: .translate/state/perm_income.md.yml --- .translate/state/perm_income.md.yml | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/.translate/state/perm_income.md.yml b/.translate/state/perm_income.md.yml index 925ce4a..f79a50e 100644 --- a/.translate/state/perm_income.md.yml +++ b/.translate/state/perm_income.md.yml @@ -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