fix formatting issues

vignettes/statistical-specification.Rmd

@@ -76,6 +76,8 @@ Where:
 - $\lambda > 0$ is the rate parameter
 - $\gamma > 0$ is the shape parameter
 Note that with $\gamma = 1$ we obtain the exponential distribution as a special case.
+
+
 ## Log-Logistic Distribution
 
 $$
@@ -166,6 +168,7 @@ Where:
 
 
 If using the non-centred parameterisation then the following alternative formulation is used:
+
 $$
 \begin{align*}
 b_i &= exp(\mu_{bl(i)} + \omega_{b l(i)} * \eta_{b i}) \\
@@ -179,6 +182,7 @@ g_i &= exp(\mu_{gk(i)} + \omega_{g k(i)} * \eta_{g i}) \\
 $$
 
 Where:
+
 * $\eta_{\theta i}$ is a random effects offset on parameter $\theta$ for subject $i$
 
 
@@ -291,12 +295,13 @@ Where:
 
 
 If using the non-centred parameterisation then the following alternative formulation is used:
+
 $$
 \begin{align*}
 b_i &= exp(\mu_{bl(i)} + \omega_{b l(i)} * \eta_{b i}) \\
 s_i &= exp(\mu_{sk(i)} + \omega_{s k(i)} * \eta_{s i}) \\
 g_i &= exp(\mu_{gk(i)} + \omega_{g k(i)} * \eta_{g i}) \\
-\phi_i &= \text{logistic}(\mu_{gk(i)} + \omega_{\phi k(i)} * \eta_{\phi i}) \\
+\phi_i &= \text{logistic}(\mu_{\phi k(i)} + \omega_{\phi k(i)} * \eta_{\phi i}) \\
 \\
 \eta_{b i} &\sim  N(0, 1)\\
 \eta_{s i} &\sim   N(0, 1)  \\
@@ -306,6 +311,7 @@ g_i &= exp(\mu_{gk(i)} + \omega_{g k(i)} * \eta_{g i}) \\
 $$
 
 Where:
+
 * $\eta_{\theta i}$ is a random effects offset on parameter $\theta$ for subject $i$
 
 
@@ -418,6 +424,7 @@ Where:
 
 
 If using the non-centred parameterisation then the following alternative formulation is used:
+
 $$
 \begin{align*}
 b_i &= exp(\mu_{b l(i)} + \omega_{b l(i)} * \eta_{b i}) \\