Recreating price distribution chart - python-3.x

I'm trying to recreate following chart:
Currently I have no idea what should I do now, wondering if there is a possibility to merge these charts or plot everything in one chart code,
import numpy as np
import math
import matplotlib.pyplot as plt
from scipy.stats import norm
fig = plt.figure()
ax1 = plt.subplot2grid((6, 2), (0, 0), rowspan=6, colspan=1)
ax2 = plt.subplot2grid((6, 2), (0, 1), rowspan=6, colspan=1)
ax2.axes.get_xaxis().set_visible(False)
ax2.axes.get_yaxis().set_visible(False)
S = 5
T = 100
mu = 0
vol = 0.3
for i in range(10):
daily_returns = np.random.normal(mu / T, vol / math.sqrt(T), T) + 1
price_list = [S]
for x in daily_returns:
price_list.append(price_list[-1] * x)
ax1.plot(price_list)
ax1.set_ylim(0,10)
srange = np.arange(-4, 4, 0.01)
mean = 0
standard_deviation = 1
var = norm.pdf(srange, mean, standard_deviation)
ax2.plot(var,srange, color="grey")
plt.show()

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Matplotlib - format with subscript and superscript

How to write this number format, please?
import matplotlib.pyplot as plt
fig, ax = plt.subplots(figsize=(14, 8))
a = 2
b = 5
c = 5
plt.text(5, 400, "${}^+^{}_-_{}$ d.".format(a, b, c))
plt.show()
I have found the solution:
fig, ax = plt.subplots(figsize=(14, 8))
a = 2.003
b = 5.551
c = -6.661
plt.text(0.5, 0.5, "${0:f}^{{{1:+f}}}_{{{2:f}}}$".format(a,b,c))
plt.show()

Simulate stock price based on a given equation in Python

How can I generate a price time series using the following equation:
p(t) = p0(1+A * sin(ωt +0.5η(t)))
where t ranges from 0 to 1 in 1000 time steps, p0 = 100, A = 0.1, and ω = 100. η(t) is a sequence of i.i.d Gaussian random variables with zero mean and unit variance.
I have use the code as follows to generate price, but it seems not as required. So I need helps from the community. Thanks in advance.
from scipy.stats import norm
import numpy as np
import matplotlib.pyplot as plt
mu = 0
sigma = 1
np.random.seed(2020)
dist = norm(loc = mu,scale=sigma)
sample = dist.rvs(size = 1000)
stock_price = np.exp(sample.cumsum())
print(stock_price)
plt.plot(stock_price)
plt.xlabel("Day")
plt.ylabel("Price")
plt.title("Simulated Stock price")
plt.show()
Assuming I haven't missed anything, this should do the trick
import numpy as np
import matplotlib.pyplot as plt
n_t = np.random.normal(0, 1, 1000)
t = np.arange(0, 1, 1/1000)
p_0, A, w = 100, 0.1, 100
ts = p_0 * (1 + A * np.sin(w * t + 0.5 * n_t))
plt.plot(t, ts)
plt.xlabel("Day")
plt.ylabel("Price")
plt.show()
which gives the plot
My trial, not sure if it's correct, welcome to give me some comments.
import numpy as np
import math
np.random.seed(2020)
mu = 0
sigma = 1
dt = 0.01
p0 = 100
A = 0.1
w = 100
N = 1000
for t in np.linspace(0, 1, 1000):
X = np.random.normal(mu * dt, sigma* np.sqrt(dt), N)
X = np.cumsum(X)
pt = p0 * (1+ A*np.sin(w*t + 0.5*X))
# print(pt)
plt.plot(pt)
plt.xlabel("Day")
plt.ylabel("Price")
plt.title("Simulated Stock price")
plt.show()
Out:

How to adjust color in KDE scatter plot?

I wrote a program to plot oscilloscope data and make a KDE scatter plot with a colorbar. Unfortunately it requires a third party lib (readTrc) as well as the oscilloscope binary file which size is 200MB. The lib can be found on github.
import pandas as pd
import readTrc
import matplotlib
import matplotlib.pyplot as plt
import numpy as np
import collections
from scipy.stats import gaussian_kde
trcpath = 'filename.trc' #Binary Oscilloscope File (200 MB)
datX, datY, m = readTrc.readTrc(trcpath)
srx, sry = pd.Series(datX * 1000), pd.Series(datY * 1000)
df = pd.concat([srx, sry], axis = 1)
df.set_index(0, inplace = True)
df = df.abs() #Build Dataframe from above file
fig = plt.figure()
#Eliminate Noise
df[df < 3] = None
df = df.dropna()
#x and y axes data to plot
q1 = np.array(df[1].tolist()[:-2])
q2 = np.array(df[1].tolist()[1:-1])
q3 = np.array(df[1].tolist()[2:])
dq1 = q2 - q1
dq2 = q3 - q2
#Create first Dataset
qqstack = []
xy = np.vstack([dq1,dq2])
#Determine max value for colorbar (highest repeating x/y combination)
df_d = pd.DataFrame([dq1,dq2]).T
for idx, row in df_d.iterrows():
if row[0] == row[1]:
qqstack.append((row[0], row[1]))
cbar_max = collections.Counter(qqstack).most_common(1)[0][-1]
#sort to show most present values last
z = gaussian_kde(xy)(xy)
idx = z.argsort()
x, y, z = dq1[idx], dq2[idx], z[idx]
#plot graph
plt.scatter(x, y,
c=z,
s=20,
cmap = plt.cm.get_cmap('jet'))
#create colormap variable
sm = plt.cm.ScalarMappable(cmap = plt.cm.get_cmap('jet'),
norm = matplotlib.colors.PowerNorm(vmin = -0.1, vmax = cbar_max, gamma = 1))
sm._A = []
fig.colorbar(sm, ticks = range(0, cbar_max, 250))
plt.grid(zorder = 0, alpha = 0.3)
plt.xlabel('dq1 / mV')
plt.ylabel('dq2 / mV')
plt.show()
How can I adjust the color allocation in the plot? I want there to be less blue space so the transition is visible more, like on this graph:

Scatter plot colorbar based on datapoint cluster

I am trying to achieve a plot similar to this one:
The color shows the clustering of the datapoints.
My code so far:
import pandas as pd
import readTrc
import matplotlib.pyplot as plt
import numpy as np
import os
import gc
trcpath = 'filename.trc'
datX, datY, m = readTrc.readTrc(trcpath)
srx, sry = pd.Series(datX * 1000), pd.Series(datY * 1000)
df_plot = pd.concat([srx, sry], axis = 1)
df_plot.set_index(0, inplace = True)
fig, ax = plt.subplots()
#Eliminate Noise
df_plot[df_plot < 3] = 0
df = df_plot[df_plot > 3]
df[df < 3] = None
df = df.dropna()
#Plot Parameters
p = np.array(df[1].tolist()[:-1])
p_nach = np.array(df[1].tolist()[1:])
d_t = np.array(pd.Series(df.index).diff().tolist()[1:])
#Graph Limit
graphlim = 101
#Plot
plt.scatter(p, p_nach,
edgecolors = 'none',
c = p,
s = 20,
cmap=plt.cm.get_cmap('jet'))
plt.xlim(0,graphlim)
plt.ylim(0,graphlim)
plt.xticks(range(0,graphlim,int(graphlim/10)))
plt.yticks(range(0,graphlim,int(graphlim/10)))
plt.colorbar()
plt.grid(zorder = 0, alpha = 0.3)
ax.set_xlabel('p / mV')
ax.set_ylabel('p_nach / mV')
##plt.savefig(dpi = 300)
plt.show()
##plt.close()
##fig.clear()
##gc.collect()
print('Progress... done!')
As you can see, the colorbar does not represent the clustering and instead the place on the x-axis. How do I configure my colorbar to represent the amount of datapoints in an area?
Folder with files: Link
import pandas as pd
import readTrc
import matplotlib.pyplot as plt
import numpy as np
import os
import gc
trcpath = 'filename.trc'
datX, datY, m = readTrc.readTrc(trcpath)
df = pd.DataFrame({'time': datX * 1000, 'volts': datY * 1000})
reduce_noise_df = df[df.volts >= 3.0]
d_t = reduce_noise_df.time.diff()[1:]
p = reduce_noise_df.volts[:-1]
p_nach = reduce_noise_df.volts[1:]
#Graph Limit
graphlim = 41
#Plot
fig, ax = plt.subplots(figsize=(6,6))
plt.scatter(p, p_nach,
edgecolors = 'none',
c = d_t,
s = 20,
cmap=plt.cm.get_cmap('jet'))
plt.xlim(0, graphlim)
plt.ylim(0, graphlim)
plt.xticks(range(0, graphlim, int(graphlim/10)))
plt.yticks(range(0, graphlim, int(graphlim/10)))
plt.colorbar()
plt.grid(zorder = 0, alpha = 0.3)
ax.set_xlabel('p / mV')
ax.set_ylabel('p_nach / mV')
plt.show()
I began be removing unnecessary code
The main issue was c = p instead of c = d_t.
Plot of waveform from your Le Croy WR640Zi colored by data density
import pandas as pd
import readTrc
import matplotlib.pyplot as plt
import numpy as np
import os
import gc
from scipy.stats import gaussian_kde
trcpath = 'filename.trc'
datX, datY, m = readTrc.readTrc(trcpath)
df = pd.DataFrame({'time': datX * 1000, 'volts': datY * 1000})
reduce_noise_df = df[df.volts >= 3.0]
y = np.array(reduce_noise_df.volts.tolist())
x = np.array(reduce_noise_df.time.tolist())
# Calculate point density
xy = np.vstack([x, y])
z = gaussian_kde(xy)(xy)
# Sort points by density
idx = z.argsort()
x, y, z = x[idx], y[idx], z[idx]
#Plot
fig, ax = plt.subplots(figsize=(6,6))
plt.scatter(x, y,
edgecolors = 'none',
c = z,
s = 20,
cmap=plt.cm.get_cmap('jet'))
plt.colorbar()
plt.grid(zorder = 0, alpha = 0.3)
ax.set_xlabel('Time (ms)')
ax.set_ylabel('Voltage (mV)')
plt.show()

Scaling a PDF to show 100% at peak

I'm displaying a histogram of my data, with an overlaid PDF. My plots all look something like this:
and I'm trying to scale the red curve to show 100% at the peak.
My following toy code is identical to what I'm actually using, apart from the lines in between the two %:
%
import pandas as pd
import matplotlib.pyplot as plt
import scipy.stats as stats
import numpy as np
my_randoms = np.random.normal(0.5, 1, 50000)
dictOne = {"delta z":my_randoms}
df = pd.DataFrame(dictOne)
df = df[df['delta z'] > -999]
%
fig, ax = plt.subplots()
h, edges, _ = ax.hist(df['delta z'], alpha = 1, density = False, bins = 100)
param = stats.norm.fit(df['delta z'].dropna()) # Fit a normal distribution to the data
pdf_fitted = stats.norm.pdf(df['delta z'], *param)
x = np.linspace(*df['delta z'].agg([min, max]), 100) # x-values
binwidth = np.diff(edges).mean()
ax.plot(x, stats.norm.pdf(x, *param)*h.sum()*binwidth, color = 'r')
# Decorations
graph_title = 'U-B'
plt.grid(which = 'both')
plt.title(r'$\Delta z$ distribution for %s'%graph_title, fontsize = 25)
plt.xlabel(r'$\Delta z = z_{spec} - z_{photo}$', fontsize = 25)
plt.ylabel('Number', fontsize = 25)
plt.xticks(fontsize = 25)
plt.yticks(fontsize = 25)
xmin, xmax = min(df['delta z']), max(df['delta z'])
plt.xlim(xmin, xmax)
plt.annotate(
r'''$\mu_{\Delta z}$ = %.3f
$\sigma_{\Delta z}$ = %.3f'''%(param[0], param[1]),
fontsize = 25, color = 'r', xy=(0.85, 0.85), xycoords='axes fraction')
How would I define another axes object from 0 to 100 on the right-hand side and map the PDF to that?
Or is there a better way to do it?
This is kind of a follow-up to my previous question.
You can use density=True in plotting the histogram.
You use .twinx():
fig = plt.figure(figsize=(10, 8), dpi=72.0)
n_rows = 2
n_cols = 2
ax1 = fig.add_subplot(n_rows, n_cols, 1)
ax2 = fig.add_subplot(n_rows, n_cols, 2)
ax3 = ax1.twinx()
https://matplotlib.org/gallery/api/two_scales.html

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