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1 change: 1 addition & 0 deletions lectures/_config.yml
Original file line number Diff line number Diff line change
Expand Up @@ -147,6 +147,7 @@ sphinx:
index_toc.md: intro.md
lake_model.md: lake_model_intro.md
lln_clt.md: lln_clt_intro.md
mle.md: mle_intro.md
# Remote Redirects
redirects:
ak2: https://python.quantecon.org/ak2.html
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2 changes: 1 addition & 1 deletion lectures/_toc.yml
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Expand Up @@ -25,7 +25,7 @@ parts:
numbered: true
chapters:
- file: simple_linear_regression
- file: mle
- file: mle_intro
- file: wealth_tax
- file: bayes_intro
- caption: Foundations
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4 changes: 2 additions & 2 deletions lectures/fitting_distributions.md
Original file line number Diff line number Diff line change
Expand Up @@ -45,7 +45,7 @@ make the fit as close as possible.
This lecture is mainly about the first part.

For the second we use just one technique, called the method of moments, leaving
a fuller treatment to {doc}`mle`.
a fuller treatment to {doc}`mle_intro`.

Even so, we start with the parameters, since we have to be able to fit a class
before we can judge it.
Expand Down Expand Up @@ -736,7 +736,7 @@ Our estimate of it came from the sample kurtosis, which is a fourth moment, and
higher moments are estimated poorly precisely when the tails are heavy.

Fitting this distribution by maximum likelihood instead, as we do in
{doc}`mle`, gives $\nu \approx 3.6$ rather than $5.8$, and a smaller KS distance
{doc}`mle_intro`, gives $\nu \approx 3.6$ rather than $5.8$, and a smaller KS distance
again.

The method of moments is simple and general, but it is not always the best use
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File renamed without changes.
6 changes: 3 additions & 3 deletions lectures/wealth_tax.md
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Expand Up @@ -40,7 +40,7 @@ survey data.
Estimation is challenging because the richest households are under-represented in the data.

To fill the gap we model the upper tail of the wealth distribution with a
Pareto distribution, which we fit by {doc}`maximum likelihood <mle>`.
Pareto distribution, which we fit by {doc}`maximum likelihood <mle_intro>`.

We will use the following imports.

Expand Down Expand Up @@ -282,7 +282,7 @@ which is also where our tax begins.

## Estimating the tail index

In {doc}`mle` we found that the maximum likelihood estimate of the tail index,
In {doc}`mle_intro` we found that the maximum likelihood estimate of the tail index,
given observations $x_1, \ldots, x_n$ above a known threshold $u$, is

$$
Expand All @@ -298,7 +298,7 @@ $$
\ell(\alpha) = \sum_{i: w_i > u} \lambda_i \ln f(w_i; \alpha)
$$

Repeating the calculation in {doc}`mle` with these weights gives
Repeating the calculation in {doc}`mle_intro` with these weights gives

$$
\hat \alpha = \frac{\sum_{i: w_i > u} \lambda_i}
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