{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - 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$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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nFF8De0FTeZmxgN83hPkX0bbOA9hwEca6TqZQV+n/O+iutaBsD33OeYBkO4zxEf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QX2T1yDLcEghyb+hi3BIEcn/oItwSDHJ64yvC2KkQjC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\nSUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“\u001b[1m\u001b[22mRemoved 2 rows containing missing values (`geom_line()`).”\n" ] }, { "data": { "image/png": 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OB7ly5FHjgA8XSSRx+F7cOy9U3FSqHVaoE+ubm5XLVJ1HDpdDrr/gUwEB0dDfj8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UqqioqBMnTnR3d0udBUAMEZPE2tspJIRe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\nwBP/H1ELj4uwfjuZAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_ma(3)\n", "filter <- fit(filter, sin_data$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 }