{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter - Winsorization" ] }, { "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$y[30] + spike" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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vWiqqHPOsF23uUYyCxdhPNVSlmCNAHt8Nl7cDI57HmF6DGrvV0BB+ksJc1gXoxX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\n/wFv1YO82jMYwQAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "plot_ts(x=sin_data$x, y=sin_data$y) + theme(text = element_text(size=16))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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IbKLDWgXVu1apXhfwEAMw0HV69eLSoPsbCzP2vWrHF3d7/llltEB7FRSqVSr9cX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dQFBQkOgQIsEmTJjg6ur63XffqVQq0S13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\nub/3vintvwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "filter <- ts_fil_winsor(li = 0.05)\n", "filter <- fit(filter, sin_data$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 }