regression residual是观测值Y和估计值（bhat*X）之间的偏差。
vue是一款轻量级的mvvm框架，追随了面向对象思想，使得实际操作变得方便，但是如果使用不当，将会面临着到处...
import numpy as np import matplotlib.pyplot as plt from sklearn.linear_model import LinearRegression # 设置随机种子以保证结果的可复现性 np.random.seed(0) # 生成输入数据 x = np.linspace(-10, 10, 10) print("Input: ", y) # 定义真实函数,非线性函数 def f(x): return x**2 + 2*x +...
最传统的做法就是使用最小二乘法。根据在scikit-learn的文档，模型sklearn.linear_model.LinearRegression...
We derive exact finite-sample expressions for the biases and risks of several common pretest estimators of the scale parameter in the linear regression model. These estimators are associated with least squares, maximum likelihood and minimum mean squared error component estimators. Of these three criter...
Different estimates of the mean squared error of prediction for linear regression models are derived by the bootstrap and cross-validation approaches. A co... B Olaf,D Bernd - 《Annals of Statistics》 被引量: 101发表: 1984年 Empirical Bayes estimation in a multiple linear regression model squa...
I was recently trying to do just a very simple linear regression on x vs. y -- I got this error message: IndexError: tuple index out of range I wasted 3 minutes trying to figure out if my x and y vectors didn't have the same lengths (the...
Variance estimation is a fundamental yet important problem in statistical modelling. In this paper, we propose jackknife empirical likelihood (JEL) methods for the error variance in a linear regression model. We prove that the JEL ratio converges to the standard chi-squared distribution. The asymptot...
The plan is to implement some other methods in this area. The Problem Suppose the linear regression model is y=β0+β1x∗+ε where y is n-vector of the response variable, β0 and β1 are unknown regression parameteres, ε is the iid. error term, x∗ is the unknown n-vector of...
This paper provides an overview of measurement errors in linear regression, distinguishing two extremes of a continuum-Berkson from classical type errors, and the univariate from the multivariate predictor case. We then propose one conceptual framework for the evaluation of measurement errors in the ...