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-rw-r--r--sem6/prob/stat2/Untitled.ipynb176
1 files changed, 176 insertions, 0 deletions
diff --git a/sem6/prob/stat2/Untitled.ipynb b/sem6/prob/stat2/Untitled.ipynb
new file mode 100644
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+++ b/sem6/prob/stat2/Untitled.ipynb
@@ -0,0 +1,176 @@
+{
+ "cells": [
+ {
+ "cell_type": "raw",
+ "id": "aa0d70cc-578c-4ecd-ab36-0ed3d6b5534a",
+ "metadata": {},
+ "source": [
+ "# Exercise 1\n",
+ "\n",
+ "1. b\n",
+ "2. c\n",
+ "3. b\n",
+ "4. c, a"
+ ]
+ },
+ {
+ "attachments": {
+ "fdd5a4aa-5437-46c4-95f1-57f02897f330.png": {
+ "image/png": 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"
+ }
+ },
+ "cell_type": "markdown",
+ "id": "2bc7d6cc-159b-469a-9373-c9b09ce2640f",
+ "metadata": {},
+ "source": [
+ "# Exercise 2\n",
+ "\n",
+ "![image.png](attachment:fdd5a4aa-5437-46c4-95f1-57f02897f330.png)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d343fef0-0ef9-444e-8726-ce524725509a",
+ "metadata": {},
+ "source": [
+ "## Part A\n",
+ "\n",
+ "As $\\alpha \\cdot S$ is a constant, $y_i$ will also have a gaussian distribution with $\\mu = \\alpha \\cdot S$ and $\\sigma^2$.\n",
+ "Therefore we can use maximum likelyhood estimation for a gaussian random variable.\n",
+ "\n",
+ "$$\n",
+ "\\hat{\\mu} = \\frac 1 N \\sum_{i=1}^N x_i\n",
+ "$$\n",
+ "\n",
+ "From this we can isolate for $d$.\n",
+ "\n",
+ "$$\n",
+ "\\mu = \\alpha \\cdot S = \\frac {0.5} d \\cdot S\\\\\n",
+ "d = \\frac S {\\mu \\cdot 2} \\\\\n",
+ "\\hat{d} = \\frac {S \\cdot N} {2 \\cdot \\sum_{i=1}^N y_i}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "e1a68d46-a7e5-4b9e-9631-68f6c30e728f",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The estimate for d is 3.8167938931297707\n"
+ ]
+ }
+ ],
+ "source": [
+ "## Part B\n",
+ "samples = [1.1, 0.68, 0.54, 0.99, 0.26, 0.84, 0.41, 0.5, 0.42, 0.81]\n",
+ "N = len(samples)\n",
+ "\n",
+ "S = 5\n",
+ "sigma2 = 0.1\n",
+ "\n",
+ "d_estimate = S * N / (2 * sum(samples))\n",
+ "print(f\"The estimate for d is {d_estimate}\")"
+ ]
+ },
+ {
+ "attachments": {
+ "f550773a-bf77-4429-b82c-a3664735869c.png": {
+ "image/png": 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"
+ }
+ },
+ "cell_type": "markdown",
+ "id": "be240257-32fc-4da1-b423-19baad8b9d67",
+ "metadata": {},
+ "source": [
+ "# Exercise 3\n",
+ "\n",
+ "![image.png](attachment:f550773a-bf77-4429-b82c-a3664735869c.png)\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "11489137-7611-4318-a054-2a31d0332eeb",
+ "metadata": {},
+ "source": [
+ "First we define the likelyhood function.\n",
+ "\n",
+ "$$\n",
+ "f(x_1, x_2 | \\mu) = P(X_1 = x_1, X_2 = x_2 | \\mu)\n",
+ "$$\n",
+ "\n",
+ "Here $X_1 \\sim \\mathcal{N}(\\mu, \\sigma_1^2)$ and $X_2 \\sim \\mathcal{N}(\\mu, \\sigma_2^2)$.\n",
+ "Because $X_1$ and $X_2$ are independend, they can be multiplied together.\n",
+ "\n",
+ "$$\n",
+ "f(x_1, x_2 | \\mu) = P(X_1 = x_1 | \\mu) \\cdot P(X_2 = x_2 | \\mu) \\\\\n",
+ "= \\frac 1 {0.5 \\cdot \\sqrt{2 \\pi}} \\cdot \\exp\\left(- \\frac {(x_1 - \\mu)^2} {2 \\cdot 0.5}\\right) \\cdot \\frac 1 {2 \\cdot \\sqrt{2 \\pi}} \\cdot \\exp\\left(- \\frac {(x_2 - \\mu)^2} {2 \\cdot 2}\\right) \\\\\n",
+ "= \\frac 1 {2 \\pi} \\cdot \\exp\\left(- (x_1 - \\mu)^2 - \\frac 1 4 (x_2 - \\mu)^2\\right) \\\\\n",
+ "\\log f(x_1, x_2 | \\mu) = - \\log (2 \\pi) - (x_1 - \\mu)^2 - \\frac 1 4 (x_2 - \\mu)^2\n",
+ "$$\n",
+ "\n",
+ "Nu kan vi tage differentialet, og løse for 0.\n",
+ "\n",
+ "$$\n",
+ "\\frac d {dx} \\log f(x_1, x_2 | \\mu) = - \\frac 1 {2 \\pi} - 2 (x_1 - \\mu) - \\frac {1} 2 (x_2 - \\mu) = 0 \\\\\n",
+ "- 2 \\cdot x_1 + 2 \\cdot \\mu - \\frac {1} 2 \\cdot x_2 + \\frac 1 2 \\cdot \\mu = \\frac 1 {2 \\pi} \\\\\n",
+ "(2 + \\frac 1 2) \\cdot \\mu = \\frac 1 {2 \\pi} + 2 \\cdot x_1 + \\frac {1} 2 \\cdot x_2 \\\\\n",
+ "\\mu = \\frac 1 {2.5} \\cdot \\left( \\frac 1 {2 \\pi} + 2 \\cdot x_1 + \\frac 1 2 \\cdot x_2 \\right)\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "328e04e5-fc00-4631-bed6-f543dc02e038",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The estimated mu is 1.0436619772367581\n"
+ ]
+ }
+ ],
+ "source": [
+ "mu = 1/(2.5) * (1 / (2 * np.pi) + 2 * 0.9 + 1/2 * 1.3)\n",
+ "print(f\"The estimated mu is {mu}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d38de173-9852-4d8f-a870-72b58f9dded8",
+ "metadata": {},
+ "source": [
+ "AHHHH DET ER HELT FORKERT HADER ALGEBRA. LAVER DET PÅ PAPIR."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}