diff --git a/CompareIncomeDist.ipynb b/CompareIncomeDist.ipynb
index 0e58b45..b481e2c 100644
--- a/CompareIncomeDist.ipynb
+++ b/CompareIncomeDist.ipynb
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 221,
    "id": "16ed9b3c",
    "metadata": {},
    "outputs": [
@@ -22,7 +22,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/var/folders/2m/db9b_l2950xckts1f65_rc2m0000gn/T/ipykernel_85313/831081070.py:5: DeprecationWarning:\n",
+      "/var/folders/2m/db9b_l2950xckts1f65_rc2m0000gn/T/ipykernel_5865/831081070.py:5: DeprecationWarning:\n",
       "\n",
       "Importing display from IPython.core.display is deprecated since IPython 7.14, please import from IPython display\n",
       "\n"
@@ -76,7 +76,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 222,
    "id": "093d86ac",
    "metadata": {},
    "outputs": [],
@@ -129,7 +129,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 223,
    "id": "45ea24da",
    "metadata": {},
    "outputs": [],
@@ -152,7 +152,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 224,
    "id": "3c69a171",
    "metadata": {},
    "outputs": [
@@ -485157,9 +485157,9 @@
        }
       },
       "text/html": [
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Income\"}},\"yaxis\":{\"anchor\":\"x\",\"domain\":[0.0,1.0],\"title\":{\"text\":\"$z_m \\u002f z$\"}},\"legend\":{\"tracegroupgap\":0},\"margin\":{\"t\":60}},                        {\"responsive\": true}                    ).then(function(){\n",
        "                            \n",
-       "var gd = document.getElementById('7d33cb84-1f88-4416-862d-e6338fc60325');\n",
+       "var gd = document.getElementById('7c4c43c6-e67c-4949-9788-45c128e45bb9');\n",
        "var x = new MutationObserver(function (mutations, observer) {{\n",
        "        var display = window.getComputedStyle(gd).display;\n",
        "        if (!display || display === 'none') {{\n",
@@ -485206,63 +485206,76 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 225,
    "id": "9b7c81a3",
    "metadata": {},
    "outputs": [],
    "source": [
     "from iot.generate_data import gen_microdata\n",
     "from iot.inverse_optimal_tax import IOT\n",
+    "import numpy as np\n",
     "# get data\n",
-    "data = gen_microdata() "
+    "data = gen_microdata()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 226,
+   "id": "bfa674b6",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "data = data[data[\"expanded_income\"] > 0]\n",
+    "data[\"log_expanded_income\"] = np.log(data[\"expanded_income\"])\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 227,
    "id": "ac8fa99d",
    "metadata": {},
    "outputs": [],
    "source": [
     "#instantiate IOT object with different distribution types\n",
-    "iot2 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"kde_pareto\")\n",
-    "iot3 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_mle\", pareto_cutoff=200_000)\n",
-    "iot4 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_sequential\", pareto_cutoff=200_000)\n",
+    "cutoff = 300_000\n",
+    "iot2 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"kde_pareto\", pareto_cutoff=cutoff)\n",
+    "# iot3 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_mle\", pareto_cutoff=200_000)\n",
+    "# iot4 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_sequential\", pareto_cutoff=200_000)\n",
     "iot5 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal\") "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 228,
    "id": "0a2e7159",
    "metadata": {},
    "outputs": [],
    "source": [
     "df2 = iot2.df()\n",
-    "df3 = iot3.df()\n",
-    "df4 = iot4.df()\n",
+    "# df3 = iot3.df()\n",
+    "# df4 = iot4.df()\n",
     "df5 = iot5.df()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 229,
    "id": "e7dc7302",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.legend.Legend at 0x17de94f10>"
+       "<matplotlib.legend.Legend at 0x2b68af1d0>"
       ]
      },
-     "execution_count": 33,
+     "execution_count": 229,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -485286,15 +485299,15 @@
     "ax.set_xlim(left=0)\n",
     "# overlay the income distribution, f across z on the same plot, for the different dist_types\n",
     "ax.plot(df2[\"z\"], df2[\"f\"], 'g-', label='kde pareto')\n",
-    "ax.plot(df3[\"z\"], df3[\"f\"], 'r-', label='log normal mle')\n",
-    "ax.plot(df4[\"z\"], df4[\"f\"], 'b-', label='log normal sequential')\n",
+    "# ax.plot(df3[\"z\"], df3[\"f\"], 'r-', label='log normal mle')\n",
+    "# ax.plot(df4[\"z\"], df4[\"f\"], 'b-', label='log normal sequential')\n",
     "ax.plot(df5[\"z\"], df5[\"f\"], 'y-', label='log normal')\n",
     "ax.legend()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 230,
    "id": "293ba8a7",
    "metadata": {},
    "outputs": [
@@ -485304,13 +485317,13 @@
        "(-49998.950000000004, 500000.0)"
       ]
      },
-     "execution_count": 34,
+     "execution_count": 230,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -485324,13 +485337,13 @@
     "fig, ax = plt.subplots()\n",
     "ax.plot(df2[\"z\"], df2[\"f_prime\"], 'g-', label='kde pareto')\n",
     "ax.plot(df5[\"z\"], df5[\"f_prime\"], 'r-', label='log normal')\n",
-    "ax.plot(df4[\"z\"], df4[\"f_prime\"], 'b-', label='log normal sequential')\n",
+    "# ax.plot(df4[\"z\"], df4[\"f_prime\"], 'b-', label='log normal sequential')\n",
     "ax.set_xlim(right=500_000)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 231,
    "id": "7a0b71a4",
    "metadata": {},
    "outputs": [
@@ -485340,13 +485353,13 @@
        "[]"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 231,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -485364,7 +485377,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 232,
    "id": "e90ef79d",
    "metadata": {},
    "outputs": [
@@ -485374,13 +485387,13 @@
        "Text(0, 0.5, 'g_z')"
       ]
      },
-     "execution_count": 36,
+     "execution_count": 232,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -485401,11 +485414,203 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "92a4757f",
+   "execution_count": 233,
+   "id": "24beb49b",
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Smoothed f_prime, convolution')"
+      ]
+     },
+     "execution_count": 233,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "z = df2[\"z\"]\n",
+    "y = df2[\"f_prime\"].copy()\n",
+    "\n",
+    "window_size = 10000\n",
+    "\n",
+    "# Find the index of the cutoff value\n",
+    "cutoff_index = np.abs(z - cutoff).argmin()\n",
+    "\n",
+    "# Apply moving average filter to smooth the values of y around the cutoff\n",
+    "smoothed_y = np.convolve(y, np.ones(window_size)/window_size, mode='same')\n",
+    "\n",
+    "# Extract the smoothed values around the cutoff\n",
+    "smoothed_y_around_cutoff = smoothed_y[cutoff_index - window_size//2 : cutoff_index + window_size//2 + 1]\n",
+    "\n",
+    "# update y to include the smoothed values around the cutoff\n",
+    "y[cutoff_index - window_size//2 : cutoff_index + window_size//2 + 1] = smoothed_y_around_cutoff\n",
+    "\n",
+    "# Plot the smoothed values for all of y\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(z, df2[\"f_prime\"], 'b-')\n",
+    "\n",
+    "ax.plot(z, y, 'r-')\n",
+    "# set labels\n",
+    "ax.set_xlabel(\"income\")\n",
+    "ax.set_ylabel(\"f_prime\")\n",
+    "# set title\n",
+    "ax.set_title(\"Smoothed f_prime, convolution\")\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 234,
+   "id": "c6ee5216",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'g_z with convlution smoothing')"
+      ]
+     },
+     "execution_count": 234,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "theta_z = 1 + ((df2.z * smoothed_y) / df2.f)\n",
+    "\n",
+    "g_z = (\n",
+    "    1\n",
+    "    + (theta_z * iot2.eti * df2.mtr) / (1 - df2.mtr)\n",
+    "    + ((iot2.eti * df2.z * df2.mtr_prime) / (1 - iot2.mtr) ** 2)\n",
+    ")\n",
+    "\n",
+    "# plot g_z across z for z < 500_000\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(df2[\"z\"][df2[\"z\"] < 500_000], g_z[df2[\"z\"] < 500_000])\n",
+    "# set labels\n",
+    "ax.set_xlabel(\"income\")\n",
+    "ax.set_ylabel(\"g_z\")\n",
+    "# set title\n",
+    "ax.set_title(\"g_z with convlution smoothing\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 235,
+   "id": "de84815e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Smoothed f_prime, gaussian filter')"
+      ]
+     },
+     "execution_count": 235,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from scipy.ndimage import gaussian_filter1d\n",
+    "z = df2[\"z\"]\n",
+    "y = df2[\"f_prime\"]\n",
+    "\n",
+    "cutoff = 250_000\n",
+    "smooth_region_width = 40000\n",
+    "\n",
+    "# Apply Gaussian smoothing to the function around the discontinuity point\n",
+    "smoothed_y = np.copy(y)\n",
+    "smoothed_y[z >= cutoff - smooth_region_width/2] = gaussian_filter1d(y[z >= cutoff - smooth_region_width/2], sigma=500)\n",
+    "\n",
+    "\n",
+    "# Plot the smoothed values for all of y\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(z, smoothed_y)\n",
+    "# set labels\n",
+    "ax.set_xlabel(\"income\")\n",
+    "ax.set_ylabel(\"f_prime\")\n",
+    "# set title\n",
+    "ax.set_title(\"Smoothed f_prime, gaussian filter\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 236,
+   "id": "5470b68e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'g_z with gaussian smoothing')"
+      ]
+     },
+     "execution_count": 236,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "theta_z = 1 + ((df2.z * smoothed_y) / df2.f)\n",
+    "\n",
+    "g_z = (\n",
+    "    1\n",
+    "    + (theta_z * iot2.eti * df2.mtr) / (1 - df2.mtr)\n",
+    "    + ((iot2.eti * df2.z * df2.mtr_prime) / (1 - iot2.mtr) ** 2)\n",
+    ")\n",
+    "\n",
+    "# plot g_z across z for z < 500_000\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(df2[\"z\"][df2[\"z\"] < 500_000], g_z[df2[\"z\"] < 500_000])\n",
+    "# set labels\n",
+    "ax.set_xlabel(\"income\")\n",
+    "ax.set_ylabel(\"g_z\")\n",
+    "# set title\n",
+    "ax.set_title(\"g_z with gaussian smoothing\")"
+   ]
   }
  ],
  "metadata": {