{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Forecasting Combinations and Forecasting Uncertainty\n", "\n", "Feng Li\n", "\n", "School of Statistics and Mathematics\n", "\n", "Central University of Finance and Economics\n", "\n", "[feng.li@cufe.edu.cn](mailto:feng.li@cufe.edu.cn)\n", "\n", "[https://feng.li/python](https://feng.li/python)" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "## Forecast Combination\n", "\n", "- A game is to guess the number of jelly beans in a jar.\n", "- While individiual guesses are wrong, the average of many guesses will be close to the answer.\n", "- In forecasting we can improve forecasts by averaging over different models \n", "- The same principle works for expert judgements." ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "\"beans\"\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Wisdom of the crowd (of forecasters)\n", "\n", "- In a seminal 1969 paper Bates and Granger propose forecast combination.\n", "- Consider the case of two forecasts.\n", "- Forecast quality measured by Mean Square Error of forecasts.\n", "- They are showed that\n", " - Combinination weights depend on variances and covariances of forecast errors.\n", " - The combined forecast is better than any individual forecast." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The math\n", "\n", "Let $\\hat{y}_{1}$ and $\\hat{y}_{2}$ be two forecasts, and $w$ be a combination weight. The combined forecast $\\hat{y}_c$ is given by\n", "\n", "$$\\hat{y}_{c}=w\\hat{y}_{1}+(1-w)\\hat{y}_{2}$$\n", "\n", "Also let $\\sigma_1$ and $\\sigma_2$ be the forecast error variances of the two forecasts respectvely.\n", "\n", "$$\\sigma^2_1 = E\\left[(y-\\hat{y}_{1})^2\\right]\\quad\\textrm{and}\\quad\\sigma^2_2 = E\\left[(y-\\hat{y}_{2})^2\\right]$$\n", "\n", "This expectation is with respect to forecast errors (not in-sample errors)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## More detail\n", "\n", "Each forecast is made at time $t+h$ using information at time $t$. The expectation is with respect to the conditional distribution of $\\hat{y}_{t+h|t}$. For each forecast.\n", "\n", "$$\\sigma^2 = E_{y_{t+h|t}}\\left[(y_{t+h}-\\hat{y}_{t+h|t})^2\\right]$$\n", "\n", "If forecasts are unbiased $E_{t+h|t}\\left[\\hat{y}_{t+h|t}\\right]=y_{t+h}$. This means the expected square error is given by\n", "\n", "$$\\sigma^2 = E_{y_{t+h|t}}\\left[\\left(\\hat{y}_{t+h|t}-E_{y_{t+h|t}}[\\hat{y}_{t+h|t}]\\right)^2\\right]$$\n", "\n", "Each $\\sigma^2$ is the forecast error variance. From now on let's keep the notation simple." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Expected value of combination\n", "\n", "\n", "$$E\\left[\\hat{y}_{c}\\right]=wE\\left[\\hat{y}_{1}\\right]+(1-w)E\\left[\\hat{y}_{2}\\right]$$\n", "\n", "If forecasts are unbiased, then\n", "\n", "$$E\\left[\\hat{y}_{c}\\right]=wy+(1-w)y=y$$\n", "\n", "Combinations of unbiased forecasts are also unbiased (if weights sum to one)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Variance of combination\n", "\n", "$$\\begin{aligned}E\\left[(\\hat{y}_{c}-y)^2\\right]&=E\\left[(w\\hat{y}_1+(1-w)\\hat{y}_2-y)^2\\right]\\\\&=E\\left[(w\\hat{y}_1+(1-w)\\hat{y}_2-wy-(1-w)y)^2\\right]\\\\&=E\\left[\\left(w(\\hat{y}_{1}-y)+(1-w)(\\hat{y}_{2}-y)\\right)^2\\right]\\\\&=E\\left[w^2(\\hat{y}_{1}-y)^2+2w(1-w)(\\hat{y}_{1}-y)(\\hat{y}_{2}-y)+(1-w)^2(\\hat{y}_{2}-y)^2\\right]\\\\&=w^2\\sigma^2_1+2w(1-w)\\rho\\sigma_1\\sigma_2+(1-w^2)\\sigma_2^2\\end{aligned}$$\n", "\n", "Where $\\rho$ is the correlation between forecasts. \n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Optimal Combination Weights\n", "\n", "Minimising the above equation for $w$ gives the optimal weight\n", "\n", "$$w^{(\\textrm{opt})}=\\frac{\\sigma^2_2-\\rho\\sigma_1\\sigma_2}{\\sigma_1^2+\\sigma_2^2-2\\rho\\sigma_1\\sigma_2}$$\n", "\n", "For the case of uncorrelated forecasts this simplifies to:\n", "\n", "$$w^{(\\textrm{opt})}=\\frac{\\sigma^2_2}{\\sigma_1^2+\\sigma_2^2}$$\n", "\n", "It can be proven that the optimal combination weights have a smaller variance compared to any individual forecast." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Your turn...\n", "\n", "- When $\\sigma_1$ is high is $w^{(\\textrm{opt})}$ bigger or smaller? \n", " - Does this make sense?\n", "- When $\\sigma_2$ is high is $w^{(\\textrm{opt})}$ bigger or smaller? \n", " - Does this make sense?\n", "- When $\\rho$ is high is $w^{(\\textrm{opt})}$ bigger or smaller? \n", " - Does this make sense?\n", " \n", " \n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The general case\n", "\n", "For more than two forecasts, the objective function is\n", "\n", "$$\\boldsymbol{w}^{(\\textrm{opt})}=\\underset{\\mathbf{w}}{argmin}\\,\\mathbf{w}'\\boldsymbol{\\Sigma}\\mathbf{w}\\:\\textrm{s.t}\\:\\boldsymbol{\\iota}'\\mathbf{w}=1$$\n", "\n", "Where $\\boldsymbol{\\iota}$ is a column of 1's. This can be solved as\n", "\n", "$$\\boldsymbol{w}^{(\\textrm{opt})}=\\frac{{\\boldsymbol{\\Sigma^{-1}\\iota}}}{\\boldsymbol{\\iota'\\Sigma^{-1}\\iota}}$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Estimating $\\sigma_j$ and $\\rho$\n", "\n", "- In practice the forecast variances are not known and need to be estimated.\n", "- For statistical models we have expressions for forecast variance, but this is not always available.\n", " - For example consider expert judgments\n", "- As long as we have forecasts and true values (e.g. via a rolling window), we can estimate $\\sigma_j$ and $\\rho$ and use these to calculate combination weights." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Strategies (2 forecast case)\n", "\n", "Let $\\hat\\sigma_1$ and $\\hat\\sigma_2$ be the mean square (forecast) errors. Let $T$ be the time at which we want to form combination weighs. methods include:\n", "\n", "- $w_T=\\frac{\\hat\\sigma^2_2}{\\hat\\sigma^2_1+\\hat\\sigma^2_2}$\n", "- $w_T=\\gamma w_{T-1}+(1-\\gamma)\\frac{\\hat\\sigma^2_2}{\\hat\\sigma^2_1+\\hat\\sigma^2_2}$\n", "\n", "Alternative variances (and covariances) can be computed as weighted sums with higher weights for more recent errors\n", "\n", "$$\\tilde\\sigma^2_1=\\sum \\alpha_t(y_t-\\hat{y}_{1,t})^2$$\n", "\n", "where $\\alpha_t$ is increasing in $t$ and a similar expression is used to estimate the $\\tilde\\sigma^2_2$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The Forecast Combination Puzzle\n", "\n", "- The theory shows that equal weights (i.e. 1/K) is not guaranteed to be optimal.\n", "- However years of forecasting practice and research have shown that equal weights often outperform so-called optimal weights.\n", "- This is known as the *forecast combination puzzle*.\n", "- There are several explanations of the puzzle." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Explanation\n", "\n", "- Recall from a few slides back, that to show combinations are unbiased\n", "\n", "$$E\\left[\\hat{y}_{c}\\right]=wE\\left[\\hat{y}_{1}\\right]+(1-w)E\\left[\\hat{y}_{2}\\right]$$\n", "\n", "- This line of math assumes that $w$ is fixed. However as we have seen, it is often estimated from data.\n", "- The need to estimate $w$ results in a bias in forecast combination.\n", "- In constrast, equal weights are truly non-random." ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "## Visually\n", "\n", "- The bottom curve shows the expected mean square error of combined forecasts against the value of the weight.\n", " - F is the optimal point\n", " - E is equal weights\n", "- The top curve is higher due to randomness of weights.\n", " - R is the optimal point" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "\"puzzle\"\n", "\n", "Source: [Claeskens et al. (2016)](https://www.sciencedirect.com/science/article/abs/pii/S0169207016000327)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## General case uncorrelated forecasts\n", "\n", "If forecasts are uncorrelated, then $\\Sigma$ is diagonal and the weight is proportional to the inverse forecast error variance. For weight $j$ when there are $K$ forecasts in total\n", "\n", "$$w_j=\\frac{1/\\sigma^2_j}{\\sum\\limits_{i=1}^K1/\\sigma_k^2}$$\n", "\n", "This provides a simple way of getting weights that does not rely on estimating covariances." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Shrink to equal weights\n", "\n", "Diebold and Shin (2019) propose using regularisation to shrink towards equal weights. Rewrite problem as a regression model\n", "\n", "$y=w_1\\hat{y}_1+w_2\\hat{y}_2+w_3\\hat{y}_3+\\dots+w_k\\hat{y}_K+\\epsilon$\n", "\n", "Rather than minimise\n", "\n", "$RSS = \\sum(y-w_1\\hat{y}_1+w_2\\hat{y}_2+w_3\\hat{y}_3+\\dots+w_k\\hat{y}_K)^2$\n", "\n", "Add a L1 or L2 penalty on w's." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Shrink to equal weights\n", "\n", "- Egalitarian Ridge\n", "\n", "$$\\mathbf{w}^{(er)}=\\underset{\\mathbf{w}}{argmin}\\left(RSS+\\sum\\limits_{k=1}^K(w_k-(1/K))^2\\right)$$\n", "\n", "- Egalitarian Lasso\n", "\n", "$$\\mathbf{w}^{(el)}=\\underset{\\mathbf{w}}{argmin}\\left(RSS+\\sum\\limits^K_{k=1}|w_k-(1/K)|\\right)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Prediction intervals\n", "\n", "- In the first lecture the importance of prediction intervals was discussed.\n", "- The focus so far has been on point forecasts.\n", "- Briefly discuss methods for when the forecast variance is constant over time." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Forecast Variance\n", "\n", "- For many methods, the forecast variance can be derived mathematically.\n", "- For example for a stationary AR(1) the forecast variance for a two step ahead forecast is\n", "\n", "$$V(\\hat{Y}_{T+h}|Y_1,Y_2,\\dots,Y_T)=(1+\\phi^2+\\phi^4+\\dots+\\phi^{2(h-1)})\\sigma^2$$\n", "\n", "- See predictive analytics notes (week 12, slide 43-45 for a derviation)\n", "- For general ARMA processes we can derive results using the MA($\\infty$) representation." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Model free forecast\n", "\n", "- How can we get the forecast variance in general (inc. for expert forecasts)?\n", "$$\\sigma^2_h=\\frac{1}{T-K}\\sum (\\hat{y}_{t+h|t}-y_{t+h})^2$$\n", "- Here $T$ is the number of forecasts $K$ is the number of parameters in a model (K=1 if there is no model)\n", "- This can be done in-sample or out of sample.\n", "- What is being ignored here is uncertainty around parameters \n", " - This is usually small relative to uncertainty around the errors." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Intervals under normality\n", "\n", "- However, $\\sigma^2_h$ is found, If errors are normally distributed, then the forecast and its variance provide all information about the distribution.\n", "- In this case a 95% predicition interval can be found by taking \n", "$$\\hat{y}_{t+h|t}\\pm1.96\\sigma_h$$\n", "- The Python package `statsmodels`implements prediction intervals assuming normality." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Prediction Intervals with the takeaway data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/fli/.virtualenvs/python3.9/lib/python3.9/site-packages/statsmodels/base/model.py:566: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", " warnings.warn(\"Maximum Likelihood optimization failed to \"\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import statsmodels as sm\n", "import statsmodels.api as smt\n", "import matplotlib.pyplot as plt\n", "dat = pd.read_csv('data/takeaway.csv')\n", "dat['Month']=pd.to_datetime(dat['Month'])\n", "dat['logTurnover']=np.log(dat['Turnover'])\n", "res = sm.tsa.arima.model.ARIMA(dat['logTurnover'], order = (2,0,3),seasonal_order=(2,1,2,12)).fit()\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(dat.iloc[360:404,0],dat.iloc[360:404,2],color='black')\n", "fcast = res.get_forecast(36).summary_frame()\n", "ax.plot(dat.iloc[405:,0],dat.iloc[405:,2],color='gray')\n", "ax.plot(dat.iloc[405:,0],fcast['mean'],color='blue')\n", "ax.fill_between(dat.iloc[405:,0], fcast['mean_ci_lower'], fcast['mean_ci_upper'], color='blue', alpha=0.1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An MA(1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dat['dlogTurnover']=dat['logTurnover'].diff()\n", "res = sm.tsa.arima.model.ARIMA(dat['dlogTurnover'], order = (0,0,1),trend='n').fit()\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(dat.iloc[360:404,0],dat.iloc[360:404,3],color='black')\n", "fcast = res.get_forecast(36).summary_frame()\n", "ax.plot(dat.iloc[405:,0],dat.iloc[405:,3],color='gray')\n", "ax.plot(dat.iloc[405:,0],fcast['mean'],color='blue')\n", "ax.fill_between(dat.iloc[405:,0], fcast['mean_ci_lower'], fcast['mean_ci_upper'], color='blue', alpha=0.1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An AR(1)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dat['dlogTurnover']=dat['logTurnover'].diff()\n", "res = sm.tsa.arima.model.ARIMA(dat['dlogTurnover'], order = (1,0,0),trend='n').fit()\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(dat.iloc[360:404,0],dat.iloc[360:404,3],color='black')\n", "fcast = res.get_forecast(36).summary_frame()\n", "ax.plot(dat.iloc[405:,0],dat.iloc[405:,3],color='gray')\n", "ax.plot(dat.iloc[405:,0],fcast['mean'],color='blue')\n", "ax.fill_between(dat.iloc[405:,0], fcast['mean_ci_lower'], fcast['mean_ci_upper'], color='blue', alpha=0.1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conclusions\n", "\n", "- For forecasts with trends, the prediction intervals flare out as $h$ increases.\n", " - Even small uncertainty in the trend can lead to much uncertainty far into the future.\n", "- For stationary data/models, the prediction intervals do increase a little at first, but eventually stabilise at a certain width\n", " - This is the unconditional variance.\n", "- Understanding the intuition is as (if not more) important than knowing the formulas." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Beyond normality\n", "\n", "- What if forecast errors are not normally distributed.\n", "- In this case we can rely on simulation methods.\n", "- Think of any model as\n", "\n", "$$y_t=\\hat{y}_{t|t-1}+e_t$$\n", "\n", "- Assume $e_t$ are independently and identically distributed for all $t$.\n", "- But we do not know the distribution of $e_t$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Bootstrapping\n", "\n", "- We do have a sample of $e_t$ for $t=1,2,3,\\dots,T$ from our training data.\n", "- This provides information about the distribution of errors.\n", "- If we draw $e_t$ at random with replacement, this gives us a sample of potential 'future errors'.\n", "- This leads to the following algorithm." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Bootstrapping\n", "\n", "For $b=1,2,3,\\dots,B$\n", "\n", "1. Form a one step ahead forecast $\\hat{y}_{T+1|T}$\n", "2. Sample a training error $e_{T+1}^{(b)}$ from $\\left\\{e_1,e_2,\\dots,e_T\\right\\}$ at random\n", "3. Set $\\tilde{y}^{(b)}_{T+1}=\\hat{y}_{T+1|T}+e_{T+1}^{(b)}$\n", "4. Form a one step ahead forecast $\\hat{y}_{T+2|T+1}$ as if $\\tilde{y}^{(b)}_{T+1}$ were the value of $y_{T+1}$\n", "5. Sample a training error $e_{T+2}^{(b)}$ from $\\left\\{e_1,e_2,\\dots,e_T\\right\\}$ at random\n", "6. Set $\\tilde{y}^{(b)}_{T+2}=\\hat{y}_{T+2|T+1}+e_{T+2}^{(b)}$\n", "7. Repeat for $H$ steps.\n", "\n", "Gives $B$ future paths $\\tilde{y}^{(b)}_{T+1},\\tilde{y}^{(b)}_{T+2},\\dots,\\tilde{y}^{(b)}_{T+H}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example\n", "\n", "- Consider the AR1 we just fit to differenced log Turnover.\n", "- Histogram of residuals shows a heavy left tail." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "resid = dat['dlogTurnover']-res.fittedvalues\n", "resid = resid[1:]\n", "h = plt.hist(resid)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Bootstrapping Code" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phi = res.arparams\n", "H=5\n", "B=10\n", "ytilde=np.zeros((H,B))\n", "for b in range(0,B):\n", " onestep = res.forecast(1)\n", " for h in range(0,H):\n", " eb = np.random.choice(resid)\n", " ytilde[h,b] = onestep+eb\n", " onestep=phi*ytilde[h,b]\n", "\n", "fig, ax = plt.subplots(figsize=(25,6))\n", "for b in range(0,B):\n", " ax.plot(np.arange(0,H),ytilde[:,b])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Prediction intervals\n", "\n", "- To find prediction intervals find percentiles" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "H=36\n", "B=100\n", "ytilde=np.zeros((H,B))\n", "for b in range(0,B):\n", " onestep = res.forecast(1)\n", " for h in range(0,H):\n", " eb = np.random.choice(resid)\n", " ytilde[h,b] = onestep+eb\n", " onestep=phi*ytilde[h,b]\n", "yhat = np.apply_along_axis(np.mean,1,ytilde)\n", "yint = np.apply_along_axis(np.quantile,1,ytilde,q=(0.025,0.975))\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Plot" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25,6))\n", "ax.plot(dat.iloc[360:404,0],dat.iloc[360:404,3],color='black')\n", "fcast = res.get_forecast(36).summary_frame()\n", "ax.plot(dat.iloc[405:,0],dat.iloc[405:,3],color='gray')\n", "ax.plot(dat.iloc[405:,0],fcast['mean'],color='orange')\n", "ax.plot(dat.iloc[405:,0],yhat,color='blue')\n", "ax.fill_between(dat.iloc[405:,0], yint[:,0], yint[:,1], color='blue', alpha=0.1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conclusions\n", "\n", "- Bootstrapping does add some noise into the forecasts (and intervals).\n", "- Choose a large number of bootstrap samples.\n", "- Notice that the prediction interval is now asymmetric.\n", "- Otherwise the intervals have similar properties (stabilise at unconditional stationary distribution).\n", "- Simulation can be useful for finding prediction intervals for model averages." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Evaluating intervals\n", "\n", "- To evaluate a $100\\times(1-\\alpha)$% prediction intervals we can use the Winkler score\n", "\n", "$$W=\\left\\{\\begin{array}{l}(u-l)+\\frac{2}{\\alpha}(l-y)\\:\\text{if}\\: yu\\end{array}\\right.$$\n", "\n", "- Here $u$ is the upper interval, $l$ is the lower interval, $y$ is the observed value and $\\alpha$.\n", "- Rewards a narrow interval, but penalises falling outside the interval." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Wrap up\n", "\n", "- Understand the importance of model averaging.\n", "- Know how to form prediction intervals.\n", "- Can use bootstrapping both for single models but also to bring these ideas together.\n", "- All of this assumes that only the conditional mean changes over time." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python3.9-virtualenv", "language": "python", "name": "python3.9-virtualenv" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "rise": { "autolaunch": true, "enable_chalkboard": true, "scroll": true, "start_slideshow_at": "beginning" } }, "nbformat": 4, "nbformat_minor": 4 }