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@chandinijain
Last active July 21, 2020 23:59
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Time Series Analysis
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Autoregressive Models of order p $AR(p)$\n",
"\n",
"The autoregressive model is simply an extension of the random walk. It is essentially a regression model which depends linearly on the previous terms:\n",
"$$x_t = \\alpha_1x_{t-1}+…+\\alpha_px_{t-p}+w_t = \\sum_{i=1}^{p} t_i\\alpha_ix_{t-i}+w_t$$\n",
"\n",
"This is an AR model of order \"p\",where $p$ represents the number of previous (or lagged) terms used within the model, $\\alpha_i$ is the coefficient, and $w_t$ is a white noise term.\n",
"\n",
"One of the most important aspects of the AR(p) model is that it is not always stationary. The stationarity of a particular model depends upon the parameters. For example, an AR(1) model with $\\alpha_1$ = 1 is a random walk and therefore not stationary.\n",
"\n",
"Let's simulate an AR(1) model with $\\alpha$ set equal to 0.6"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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FA2NZIUxdJdIBryLzso3pgHW+ldMO/tsDHXiicwzd406bq1SGw7973jLsdV05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\nyU4TFH0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbeaff60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simulate an AR(1) process with a = 0.6\n",
"\n",
"np.random.seed(1)\n",
"n_samples = int(1000)\n",
"a = 0.6\n",
"x = w = np.random.normal(size=n_samples)\n",
"\n",
"for t in range(n_samples):\n",
" x[t] = a*x[t-1] + w[t]\n",
" \n",
"_ = tsplot(x, lags=30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note the distribution of our simulated AR(1) model is normal but there is significant serial correlation between lagged values visible in the ACF and PACF plots.\n",
"\n",
"PACF plots are used to identify the extent of the lag in an autoregressive mode. If we find no significant correlation in a PACF plot after lag $k$, an AR(k) model is usually a good fit. Looking at this chart, we can hypothesize that a AR(1) model should fit.\n",
"\n",
"\n",
"#### Data Fitting\n",
"Now we can fit an AR(p) model using Python's statsmodels to estimate the alpha coefficient and order. If the AR model is correct the estimated alpha coefficient will be close to our true alpha of 0.6 and the selected order will equal 1."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"alpha estimate: 0.58227 | order_estimate 1\n",
"\n",
"true alpha = 0.6 | true order = 1\n"
]
}
],
"source": [
"# Fit an AR(p) model to simulated AR(1) model with alpha = 0.6\n",
"\n",
"mdl = sm.tsa.AR(x).fit(maxlag=30, ic='aic', trend='nc')\n",
"est_order = sm.tsa.AR(x).select_order( maxlag=30, ic='aic', trend='nc')\n",
"\n",
"true_order = 1\n",
"print('\\nalpha estimate: %3.5f | order_estimate %s'%(mdl.params, est_order))\n",
"print('\\ntrue alpha = %s | true order = %s'%(a, true_order))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like we were able to recover the underlying parameters of our simulated data. \n",
"\n",
"Let's simulate an AR(2) process with $\\alpha_1$ = 0.666 and $\\alpha_2$ = -0.333. "
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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KhcHSRYIZC3mpwry54wu5koXv3ZvBjsGZebn/kjGQl7IOMjWQjbNq7jBXWpaFio1Hj2SN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aUkazlD24iT/TiVW8xy84jwfZh4XcwZgI51iJt4axq30SNK5ocUUHuKMlsDrIEUz1fw/C+28L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\nDrJhGIZhGIZhhPH/AYDInJcYxZg8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbd18f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simulate an AR(2) process\n",
"\n",
"n = int(1000)\n",
"alphas = np.array([.666, -.333])\n",
"betas = np.array([0.])\n",
"\n",
"# Python requires us to specify the zero-lag value which is 1\n",
"# Also note that the alphas for the AR model must be negated\n",
"# We also set the betas for the MA equal to 0 for an AR(p) model\n",
"# For more information see the examples at statsmodels.org\n",
"ar = np.r_[1, -alphas]\n",
"ma = np.r_[1, betas]\n",
"\n",
"ar2 = smt.arma_generate_sample(ar=ar, ma=ma, nsample=n) \n",
"_ = tsplot(ar2, lags=30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is significant serial correlation between lagged values at lag 1 and 2 now, as evidenced by the PACF plot.Let's see if we recover the underlying parameters of our simulated data. "
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"coef estimate: 0.6760 -0.3393 | order estimate 2\n"
]
}
],
"source": [
"# Fit an AR(p) model to simulated AR(2) process\n",
"\n",
"max_lag = 10\n",
"mdl = smt.AR(ar2).fit(maxlag=max_lag, ic='aic', trend='nc')\n",
"est_order = smt.AR(ar2).select_order( maxlag=max_lag, ic='aic', trend='nc')\n",
"\n",
"true_order = 2\n",
"print('\\ncoef estimate: %3.4f %3.4f | order estimate %s'%(mdl.params[0],mdl.params[1],est_order))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Note on choosing the number of lags\n",
"\n",
"If we just naively fit a model, it will estimate quite a few parameters. See below"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Parameters\n",
"[ 3.57345632e-02 6.67118523e-01 -3.40041205e-01 9.01909128e-03\n",
" -1.11520048e-02 2.14435279e-02 -4.83381895e-02 3.28287551e-02\n",
" -2.38531001e-02 -4.90031065e-04 -3.12735473e-02 5.21112625e-02\n",
" -5.85303137e-02 2.17108859e-02 -5.58739239e-02 2.79663351e-02\n",
" -6.45697812e-03 -2.90269682e-02 3.79624698e-02 1.12370300e-02\n",
" 2.54545125e-03 5.79634021e-02]\n",
"Standard Error\n",
"[ 0.03330767 0.03229192 0.03882052 0.04032568 0.04032737 0.04031148\n",
" 0.04030305 0.04029053 0.04027444 0.04025271 0.04022384 0.04018031\n",
" 0.0402171 0.04026555 0.04027908 0.04028844 0.04027529 0.04028007\n",
" 0.04028697 0.04034915 0.03870137 0.03212717]\n"
]
}
],
"source": [
"mdl = smt.AR(ar2).fit()\n",
"print 'Parameters'\n",
"print mdl.params\n",
"print 'Standard Error'\n",
"print mdl.bse"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this case we know there are too many because we simulated the data as an AR(2) process. \n",
"\n",
"AR models will estimate many more lags than is actually the case is due to indirect dependency - if $X_t$ depends on $X_{t−1}$ which depends on $X_{t−2}$, then indirectly $X_t$ it will depend on $X_{t−2}$ . In the presence of more than one lag indirect dependencies will be picked up by a simple estimation.\n",
"\n",
"However, we want the fewest parameters that yield a good model, that explain what is happening. Any additional and unwanted parameters will lead to Overfitting.\n",
"\n",
"Observing the ACF and PACF indicates that only the first 2 lags may be useful. However, we will empericially test the number of lags by using some form if information criterion(specifically [Akaike Information Criterion (AIC)](https://en.wikipedia.org/wiki/Akaike_information_criterion)). Python does this for us when we specify 'maxlag' and 'ic' to the fit function. To try it yourself, compute the AIC for all models we wish to consider, and note the smallest AIC. This model minimizes information loss and gives the best number of parameters"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of parameters in minimum AIC model 2\n"
]
}
],
"source": [
"N = 10\n",
"AIC = np.zeros((N, 1))\n",
"\n",
"for i in range(N):\n",
" model = smt.AR(ar2)\n",
" model = model.fit(maxlag=(i+1))\n",
" AIC[i] = model.aic\n",
" \n",
"AIC_min = np.min(AIC)\n",
"model_min = np.argmin(AIC)\n",
"\n",
"print 'Number of parameters in minimum AIC model %s' % (model_min+1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Evaluating Residuals\n",
"The final step after fitting our model is to evaluate its residual behavior. Rememeber we mentioned earlier that our aim is to find a model fit for our time series such that the residuals are white noise.\n",
"\n",
"Let's check for normality of the residuals here."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The residuals seem normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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lt6EWuesDzOf7t7fit8/7I/w9hErzxjTBtFRuvmD7S0xJNdIo1hLXHzebB+kR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6oGV4RODKkX08a1pC2BECNgzzdCCKkDtUSQhxhBJjHzmfMW4v6nd+Gc/olpSyHECBhBJoSQOlCL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\nOecSeAPZOeecc865BP8faekZrYGOJkcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xd5ae7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tsplot(mdl.resid, lags=30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The residuals indeed look like white noise, indicating we have explained the data well with our model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Side Note: Fat Tails\n",
"\n",
"Autoregressive processes are more likely to have extreme values than data drawn from a normal distribution. Since the value at each time point is influenced by recent values, if the series randomly jumps up, it is more likely to stay up than a non-autoregressive series. This is known as fat-tailed distribution because the tails (extremes) on PDF will be fatter than in a normal distribution.\n",
"\n",
"AR models are just one of the sources of tail risk, so don't assume that because a series is non-AR, it does not have tail risk."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Application to Financial Series\n",
"\n",
"Now let's see how the AR(p) model will fit AAPL log returns. Here is the log returns TS."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xc6fa668>"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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/b33razv8gkxdU9LxrGLfCNrZGFNrRYKOmTxkhH1d4W9TTVm+Ax0f6L3ejekE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\n/DtC4bms/8Z4uAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xcfe1d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lrets.AAPL.plot(figsize=(10, 8))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's find the best order and also plot the residuals of the model"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"best estimated lag order = 16\n"
]
},
{
"data": {
"image/png": 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9fF/C6aJ4aUO56j6lQPihrEHBfdU3+qTCbLSL+eZAHWpau60OrXan4uYjAJKX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\nGIZhGAX4/4wYiA/gl8VkAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xcb13ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Select best lag order for AAPL returns\n",
"\n",
"max_lag = 30\n",
"mdl = smt.AR(lrets.AAPL).fit(maxlag=max_lag, ic='aic', trend='nc')\n",
"est_order = smt.AR(lrets.AAPL).select_order(maxlag=max_lag, ic='aic', trend='nc')\n",
"\n",
"print('best estimated lag order = %s'%(est_order))\n",
"\n",
"_ = tsplot(mdl.resid, lags=max_lag)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This produces an AR(16) model, i.e. a model with 16 non-zero parameters! You can see the non-significant peak at k=16 in the ACFplot of the residuals.\n",
"\n",
"What does this tell us? It is indicative that there is likely a lot more complexity in the serial correlation than a simple linear model of past prices can really account for. A test of normality on model residuals indicates the same."
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We have reason to suspect the residuals are not normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally let's see how the AR(p) model will fit SPX log returns. Here is the log returns TS"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0xebf32b0>"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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f+8rJWu1Ip3CRNWwwa9hs06147BhRLbeUC5Kce04pYDaJhnOvTn98Ki5/6YdQ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\naNu8Tra5UrIxJtfmy6abjoO1xFAjKqxaIw+b7KQr3w/Rry4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aBcUrVWoGaCNYX/KgEUMZ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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xce5dd68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lrets.SPX.plot(figsize=(10, 8))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"best estimated lag order = 22\n"
]
}
],
"source": [
"# Select best lag order for SPX returns\n",
"\n",
"max_lag = 30\n",
"mdl = smt.AR(lrets.SPX).fit(maxlag=max_lag, ic='aic', trend='nc')\n",
"est_order = smt.AR(lrets.SPX).select_order(\n",
" maxlag=max_lag, ic='aic', trend='nc')\n",
"\n",
"print('best estimated lag order = %s'%(est_order))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again we see an AR(22) model, telling us a simple linear model of past prices is not a good fit for SPX. And running a test for normality on the residuals below, we find that they are not normally distributed either."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"We have reason to suspect the residuals are not normally distributed.\n"
]
}
],
"source": [
"from statsmodels.stats.stattools import jarque_bera\n",
"\n",
"score, pvalue, _, _ = jarque_bera(mdl.resid)\n",
"\n",
"if pvalue < 0.10:\n",
" print 'We have reason to suspect the residuals are not normally distributed.'\n",
"else:\n",
" print 'The residuals seem normally distributed.'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We've examined a major time series models in detail, namely the Autogressive model of order p, AR(p) and saw that its capable of explaining away some of the autocorrelation in the residuals of first order differenced daily log prices of equities and indices, but volatility clustering and long-memory effects persist.\n",
"\n",
"We now turn our attention to Moving Average of order q, MA(q) to see if it will improve the situation any further."
]
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@AlaaElagha
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First, thanks for putting these articles together. My question is why are you using Jarque-bera test to test the residuals? Isn't Jarque-bera test for normality? the residuals need to be tested against being white noise, i.e. no serial correlation. Wouldn't Ljung-Box (or Box-Pierce) test be the right test to use since it tests for the non-presence of serial correlation (null hypothesis)?

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