equations

Author: EddyCMWF

lai-fapar-mean-with-inverse-variance-weights.ipynb

@@ -14,19 +14,25 @@
     "Given a sequence of independent observations $y_i$ with variances $\\sigma_{i}^2$, the inverse-variance weighted average is given by\n",
     "\n",
     "\\begin{equation}\n",
+    "\n",
     "\\hat{y} = \\frac{\\sum_i y_i/\\sigma_{i}^2}{\\sum_i 1/\\sigma_{i}^2}.\n",
+    "\n",
     "\\end{equation}\n",
     "\n",
     "The variance of $\\hat{y}$ is\n",
     "\n",
     "\\begin{equation}\n",
+    "\n",
     "Var(\\hat{y}) = \\frac{1}{\\sum_i 1/\\sigma_{i}^2}.\n",
+    "\n",
     "\\end{equation}\n",
     "\n",
     "Computing $Var(\\hat{y})$ first, we can use it to save some operations:\n",
     "\n",
     "\\begin{equation}\n",
+    "\n",
     "\\hat{y} = Var(\\hat{y}) \\sum_i y_i/\\sigma_{i}^2\n",
+    "\n",
     "\\end{equation}\n",
     "\n",
     "## Data\n",