How can I draw fitted function(optimized function) of this datatset in Python?

Question

I'm trying to draw fitted function(optimized function, best-fit function) for my dataset, by using python. So I ask about a kind of distribution function which can describes my dataset.

According to a hisplot of the data, It dis similar with expon function, but after first sharp declinne, it rises small amount so that it has minor relative maximum and minimum at x in range (30, 80). And it plunged suddenly at x = 80.

How can I find optimized function of this distribution pattern?

Already I used fitter method from Fitter Package of Python, however, It couldn't capture detailed form of that distribution.

Answer 1

As suggested by @Reza you can use kernel density estimation by leveraging the gaussia_kde function. Since no values are provided, I will generate a random distribution. Here is the code:

import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import gaussian_kde

data = np.random.randn(1000)

kde = gaussian_kde(data)
x = np.linspace(min(data), max(data), 1000)

fit = kde.evaluate(x)

plt.hist(data, bins=20, density=True)
plt.plot(x, fit)
plt.show()