<p><a href="https://statistics.stanford.edu/history/emanuel-parzen" rel="nofollow noreferrer">Parzen</a> was a statistician, who worked in spectral analysis and stochastic processes. I don't know if he invented them, but those windows and probability density esimation methods are named after him.</p>
<p>See also his <a href="https://en.wikipedia.org/wiki/Emanuel_Parzen" rel="nofollow noreferrer">Wikipedia entry</a>.</p>

CC BY-SA 4.0
2021-08-02T08:12:39.980Z
2021-08-02T08:12:39.980Z
Oliver Mason
<p>I came across the term &quot;Parzen&quot; while reading the research paper titled <a href="https://arxiv.org/pdf/1406.2661.pdf" rel="nofollow noreferrer">Generative Adversarial Nets</a>. It has been used in the research paper in two contexts.</p>
<p><strong>#1</strong>: In phrase &quot;Parzen window&quot;</p>
<blockquote>
<p>We estimate probability of the test set data under <span class="math-container">$p_g$</span> by <strong>fitting a
Gaussian Parzen window</strong> to the samples generated with <span class="math-container">$G$</span> and reporting
the log-likelihood under this distribution.</p>
</blockquote>
<p><strong>#2</strong>: In phrase &quot;Parzen density estimation&quot;</p>
<blockquote>
<p>Evaluating <span class="math-container">$p(x)$</span> in Generative autoencoders and Adversarial models: Not
explicitly represented, may be approximated with <strong>Parzen density
estimation</strong></p>
</blockquote>
<p>Is there any definition for the word Parzen and how is it related to the probability distributions?</p>

<terminology><definitions><probability>
What exactly is a Parzen?
hanugm
# What exactly is a Parzen?

(Asked by: username_0 on 2021-08-02)

I came across the term "Parzen" while reading the research paper titled [Generative Adversarial Nets](https://arxiv.org/pdf/1406.2661.pdf). It has been used in the research paper in two contexts.

**#1**: In phrase "Parzen window"

> We estimate probability of the test set data under $p\_g$ by **fitting a
> Gaussian Parzen window** to the samples generated with $G$ and reporting
> the log-likelihood under this distribution.

**#2**: In phrase "Parzen density estimation"

> Evaluating $p(x)$ in Generative autoencoders and Adversarial models: Not
> explicitly represented, may be approximated with **Parzen density
> estimation**

Is there any definition for the word Parzen and how is it related to the probability distributions?

**Tags:** terminology, definitions, probability


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## 1 answers

### Answer by username_1 on 2021-08-02. Score: 2

[Parzen](https://statistics.stanford.edu/history/emanuel-parzen) was a statistician, who worked in spectral analysis and stochastic processes. I don't know if he invented them, but those windows and probability density esimation methods are named after him.

See also his [Wikipedia entry](https://en.wikipedia.org/wiki/Emanuel_Parzen).


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