Smoother is a statistical tool for computing non-parametric distributions by optimizing a constrained smoothing function.
We often want to estimate a distribution given limited information, such as its mean and standard deviation. Rather than impose parametric assumptions, smoother uses non-parametric techniques to infer an entire distribution given limited information.
$ pip install smoother
from smoother import Smoother, MomentConstraint
import matplotlib.pyplot as plt
import numpy as np
# fit a smooth distribution with given mean and standard deviation
lower_bound, upper_bound = -3, 3
mean_const = MomentConstraint(0, degree=1)
std_const = MomentConstraint(1, degree=2, type_='central', norm=True)
smoother = Smoother().fit(lower_bound, upper_bound, [mean_const, std_const])
# plot smoother pdf
x = np.linspace(lower_bound, upper_bound, num=100)
f_x = np.array([smoother.pdf(x_i) for x_i in x])
plt.plot(x, f_x)The result should look like a normal distribution.
@software{bowen2020smoother,
author = {Dillon Bowen},
title = {Smoother: a statistical package for computing smooth, non-parametric distributions},
url = {https://dsbowen.github.io/smoother/},
date = {2020-08-06},
}
Users must cite this package in any publications which use it.
It is licensed with the MIT License.