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10 changes: 2 additions & 8 deletions docs/epps_pulley_exp_criterion.md
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Expand Up @@ -25,15 +25,9 @@ The computation of the test statistic can be more complex compared to simpler te
## Details

The Epps and Pulley test is a test for the composite hypothesis of exponentiality. The test statistic is
$$EP_n = (48n)^{1/2} [ \frac{1}{n} \sum_{j=1}^{n} exp(-Y_j) -\frac{1}{2} ]$$

.. math::
:nowrap:

\begin{eqnarray}
EP_n = (48n)^{1/2} \left \frac{1}{n} \sum_{j=1}^{n} exp(-Y_j) -\frac{1}{2} \right
\end{eqnarray}

where Y_j=X_j/\overline{X}. EP_n is asymptotically standard normal (see, e.g., Henze and Meintanis (2005, Sec. 2.8.1).
where $Y_j=X_j/\overline{X}$. EP_n is asymptotically standard normal (see, e.g., Henze and Meintanis (2005, Sec. 2.8.1).

## Author(s)
Lev Golofastov
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5 changes: 4 additions & 1 deletion mkdocs.yml
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Expand Up @@ -6,7 +6,10 @@ edit_uri: edit/main/docs/
use_directory_urls: True
nav:
- Home: index.md
- Home: epps_pulley_exp_criterion.md
- Criteria:
- Goodness-of-fit:
- Exponentiality:
- Epps and Pulley: epps_pulley_exp_criterion.md
theme:
name: material
logo: "images/logo.jpeg"
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