<p>Here is explanation for the terms:</p>
<p><strong>Exogenous</strong> - determined outside the system/model being studied. For example, if you study macroeconomic model without explicitly modelling weather patterns, bad weather can be interpreted as an exogenous shock that affects output of agricultural sector.</p>
<p>What exogeneity means will be explained in virtually any undergraduate textbook that uses some models, even outside economics.</p>
<p><strong>Stationary Distribution</strong> - distribution of stationary process. Stationary process is a process that satisfies some conditions such as that mean and variance do not change in time. Distribution of white noise random variable is <em>one</em> example of a stationary distribution.</p>
<p>You can have look at a chapter 7 from A Primer in Econometric Theory by Stachurski for more details and rigorous explanation.</p>
<p><strong>Finite Bounded Support</strong> - support of a probability distribution can be thought of as the set of values the distribution is able to take with positive probability (i.e. values over which there is some density including values at the boundary). For example, support of normal distribution is from <span class="math-container">$(-\infty, \infty)$</span>, support of Poisson distribution is non-negative integers etc.</p>
<p>Finite means the support does not include infinity (like normal distribution) and bounded means that the distribution lies between some two concrete values. For example distribution with support <span class="math-container">$[0,1]$</span> is a finite bounded distribution.</p>
<p>You can read more about this sort of stuff in any statistics/econometrics textbook. The primer in econometric theory I mentioned above is good graduate level starting point. If it is too advanced you can pick up any undergraduate statistics textbook.</p>

CC BY-SA 4.0
2024-03-17T12:58:53.343Z
2024-03-17T12:58:53.343Z
1muflon1
<blockquote>
<p>All jobs are identical except for their wages, and wages are given by
an exogenous stationary distribution of <span class="math-container">$F (w )$</span> with finite (bounded) support <span class="math-container">$\mathbb W$</span>.</p>
</blockquote>
<p>This is from page 6 of <a href="https://ocw.mit.edu/courses/14-661-labor-economics-i-fall-2017/resources/mit14_661f17_lec11_13/" rel="nofollow noreferrer">https://ocw.mit.edu/courses/14-661-labor-economics-i-fall-2017/resources/mit14_661f17_lec11_13/</a>.</p>
<p>Additionally, what is a finite bounded support? I am reading these terms for the first time in an economics course and I can't exactly understand what is meant by them. Also, from where could one study these concepts from in more detail and clarity? Thank you in advance.</p>

CC BY-SA 4.0
2024-03-17T14:35:36.903Z
"*All jobs are identical except for their wages*", like roofing in the summer?
Scott Rowe
<macroeconomics><labor-economics><dynamic-programming><search-and-matching>
What exactly is an exogenous stationary distribution?
Maadhav
# What exactly is an exogenous stationary distribution?

(Asked by: username_0 on 2024-03-17)

> All jobs are identical except for their wages, and wages are given by
> an exogenous stationary distribution of $F (w )$ with finite (bounded) support $\mathbb W$.

This is from page 6 of <https://ocw.mit.edu/courses/14-661-labor-economics-i-fall-2017/resources/mit14_661f17_lec11_13/>.

Additionally, what is a finite bounded support? I am reading these terms for the first time in an economics course and I can't exactly understand what is meant by them. Also, from where could one study these concepts from in more detail and clarity? Thank you in advance.

**Tags:** macroeconomics, labor-economics, dynamic-programming, search-and-matching

> **Comments:**
> **username_1**: "*All jobs are identical except for their wages*", like roofing in the summer?  

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## 1 answers

### Answer by username_2 on 2024-03-17. Score: 2 | Accepted answer

Here is explanation for the terms:

**Exogenous** - determined outside the system/model being studied. For example, if you study macroeconomic model without explicitly modelling weather patterns, bad weather can be interpreted as an exogenous shock that affects output of agricultural sector.

What exogeneity means will be explained in virtually any undergraduate textbook that uses some models, even outside economics.

**Stationary Distribution** - distribution of stationary process. Stationary process is a process that satisfies some conditions such as that mean and variance do not change in time. Distribution of white noise random variable is *one* example of a stationary distribution.

You can have look at a chapter 7 from A Primer in Econometric Theory by Stachurski for more details and rigorous explanation.

**Finite Bounded Support** - support of a probability distribution can be thought of as the set of values the distribution is able to take with positive probability (i.e. values over which there is some density including values at the boundary). For example, support of normal distribution is from $(-\infty, \infty)$, support of Poisson distribution is non-negative integers etc.

Finite means the support does not include infinity (like normal distribution) and bounded means that the distribution lies between some two concrete values. For example distribution with support $[0,1]$ is a finite bounded distribution.

You can read more about this sort of stuff in any statistics/econometrics textbook. The primer in econometric theory I mentioned above is good graduate level starting point. If it is too advanced you can pick up any undergraduate statistics textbook.


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