{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - Exponential Moving Average" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loading required package: daltoolbox\n", "\n", "Registered S3 method overwritten by 'quantmod':\n", " method from\n", " as.zoo.data.frame zoo \n", "\n", "\n", "Attaching package: ‘daltoolbox’\n", "\n", "\n", "The following object is masked from ‘package:base’:\n", "\n", " transform\n", "\n", "\n", "Loading required package: tspredit\n", "\n" ] } ], "source": [ "# TSPredIT\n", "# version 1.0.767\n", "\n", "source(\"https://raw.githubusercontent.com/cefet-rj-dal/tspredit/main/jupyter.R\")\n", "\n", "#loading TSPredIT\n", "load_library(\"daltoolbox\") \n", "load_library(\"tspredit\") " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Series for studying with added noise" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data(sin_data)\n", "y <- sin_data$y\n", "noise <- rnorm(length(y), 0, sd(y)/10)\n", "spike <- rnorm(1, 0, sd(y))\n", "sin_data$y <- sin_data$y + noise\n", "sin_data$y[10] <- sin_data$y[10] + spike\n", "sin_data$y[20] <- sin_data$y[20] + spike\n", "sin_data$y[30] <- sin_data$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“\u001b[1m\u001b[22mRemoved 2 rows containing missing values (`geom_line()`).”\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nNY3YTw91AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_ema(3)\n", "filter <- fit(filter, sin_data$y)\n", "y <- transform(filter, sin_data$y)\n", "plot_ts_pred(y=sin_data$y, yadj=y) + theme(text = element_text(size=16))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.3.3" } }, "nbformat": 4, "nbformat_minor": 4 }