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[lln_clt.md] Update np.random → Generator API #874

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[lln_clt.md] Update np.random → Generator API #874

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7 changes: 4 additions & 3 deletions lectures/lln_clt.md
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Original file line number Diff line number Diff line change
Expand Up @@ -444,7 +444,7 @@ $Y_5$
```{code-cell} python3
beta_dist = beta(2, 2)

def gen_x_draws(k):
def gen_x_draws(k, rng):
"""
Returns a flat array containing k independent draws from the
distribution of X, the underlying random variable. This distribution
Expand All @@ -456,7 +456,7 @@ def gen_x_draws(k):
bdraws[1, :] += 0.6
bdraws[2, :] -= 1.1
# Set X[i] = bdraws[j, i], where j is a random draw from {0, 1, 2}
js = np.random.randint(0, 2, size=k)
js = rng.integers(0, 2, size=k)
X = bdraws[js, np.arange(k)]
# Rescale, so that the random variable is zero mean
m, sigma = X.mean(), X.std()
Expand All @@ -465,11 +465,12 @@ def gen_x_draws(k):
nmax = 5
reps = 100000
ns = list(range(1, nmax + 1))
rng = np.random.default_rng()

# Form a matrix Z such that each column is reps independent draws of X
Z = np.empty((reps, nmax))
for i in range(nmax):
Z[:, i] = gen_x_draws(reps)
Z[:, i] = gen_x_draws(reps, rng)
# Take cumulative sum across columns
S = Z.cumsum(axis=1)
# Multiply j-th column by sqrt j
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