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Graham McVicker edited The combined likelihood test.tex
almost 10 years ago
Commit id: 29dfbfa16508386677f1ab14b91f27bed200437d
deletions | additions
diff --git a/The combined likelihood test.tex b/The combined likelihood test.tex
index ed0b904..8af211f 100644
--- a/The combined likelihood test.tex
+++ b/The combined likelihood test.tex
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TODO: write about likelihood ratio test, asymtotically distributed as |Chi^2_1|.
\[
\textrm{L}\left( D_{h} \left| \alpha_h, \beta_h,
\Phi_i, \eta_j, \Phi_\bullet, \eta_\bullet, \Upsilon_\bullet \right. \right) = \prod_i \left[ \Pr_{\mathrm{BNB}} \left( X = x_{ij} \left| \lambda_{hi}, \Phi_i, \eta_j \right. \right) \prod_k \Pr_{\mathrm{BB-mix}}\left(Y_{ik} = y_{ik} \left| p_{h}, n_{ik}, \Upsilon_i \right. \right) \right]
\]