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2 votes
0 answers
25 views

Contribution of a predictor in Nonparametric regression

Is there an equivalent to a beta weights in a nonparametric regression? I am using the NP package in R and running a local linear regression where my bandwidth estimates are produced using least ...
Bonnie M Zuckerman's user avatar
1 vote
0 answers
39 views

Hypothesis testing in non-parametric regression

Say I have two processes/time series, $X = (X_{t_{1}},X_{t_{2}},\dots , X_{t_{n}})$ and $Y = (Y_{t_{1}},Y_{t_{2}},\dots , Y_{t_{n}})$ observed at times $t_i$ for $i=1,2,\dots, n$ where $0 < t_1 <...
bardwell's user avatar
6 votes
0 answers
165 views

Estimating Spline curve by OLS. Is a good idea to fix the knots at Chebyshev sites?

I am writing my master's degree thesis on a novel method for fixing knots in an adaptive way and while reading the literature I've found many references to the so-called Chebyshev sites. This sites or ...
Chaos's user avatar
  • 431
1 vote
0 answers
23 views

Definition of a 'design adaptive' fit?

When studying non-parametric regression, I've been told that local linear fitting is often better than local constant fitting at the job of estimating regression functions because local linear fitting ...
J. Mini's user avatar
  • 233
4 votes
1 answer
2k views

Construct piece-wise linear mixed effect models

I'm looking at the BMACS dataset(data(BMACS)), and is trying to construct a local constant fit without covariates using base functions B1(t) = 1 for t < 2, B2(t) = 1 for 2 <=t <4 and B3(t) = ...
lydias's user avatar
  • 163
1 vote
1 answer
986 views

Estimating conditional probability with many samples

I am confused about the estimation of conditional probabilities. Suppose I want to predict a binary outcome variable $Y = 0,1$ given $n$ categorical features $X = (X_1, \ldots, X_n)$, i.e. to ...
user227451's user avatar
0 votes
1 answer
880 views

Non-parametric tests for interaction effects

I have two datasets that are both organised as follows: an algorithm calculated a quality score (Q) of a specific image (image) that was processed using a certain algorithm (method). One has 315 ...
Inkidu616's user avatar
  • 247
1 vote
2 answers
68 views

How can I obtain a function that describes the expected value of data based on monthly data throughout different years?

I know this question is kind of complicated to understand at first. Here's the deal: I've got organized, monthly sales data from various years, and when I graphed it I saw there's (obviously) a ...
C. Mayers's user avatar
8 votes
1 answer
940 views

Intuition: What is the difference between linear factor models and regular linear regression?

So, I have a very vexing theoretical question that I hope some experienced econometrician can help me with. Being in finance, I have recently been exposed to linear factor models, which are models ...
Coolio2654's user avatar
1 vote
1 answer
74 views

Can I assess the relationship between a normally and non-normally distributed variable?

My study is related to the visual attractiveness of route-plans in a logistics context. In practice, route-plans are rejected based on the fact that they "do not look nice". I have conducted an ...
user217238's user avatar
2 votes
0 answers
133 views

Smooth regression algorithms that produce zero training error

I am looking to fit three regression functions $f_1, f_2, f_3:\mathbb{R}^2 \to \mathbb{R}$. For example, let's say $X_1$ is time, $X_2$ is geographic latitude, $f_1$ is the temperature, $f_2$ is the ...
User191919's user avatar
0 votes
0 answers
336 views

Multiple regression to maximize Kendall's tau

I've seen methods for maximizing Kendall's tau using regression with a single independent variable, e.g. Sen's 1968 article. I'm interested in fitting coefficients in a multiple linear regression ...
LittleUrsus's user avatar
0 votes
1 answer
60 views

Two Variables: CPTED Audit Rating and Crime Count-Which test to use?

My project is focused on Crime Prevention Through Environmental Design, AKA CPTED. CPTED is a theory that certain characteristics of the built environment, such as level of maintenance, level of ...
Creggj86's user avatar
3 votes
2 answers
2k views

Theil-Sen estimator assumptions

I found by accident the nonparametric Theil-Sen Estimator as a replacement for standard OLS linear Regression. How well does it perform with autocorrelated data, non-normal residuals and ...
Neon67's user avatar
  • 69
0 votes
0 answers
101 views

Nonlinear regression: improving parameter estimates

I'm running a nonlinear regression to estimate $\delta$ and $\alpha$ using the following model, where $X$, $Y$ and $Z$ are the variables: \begin{equation} Z = \left(\delta X^\alpha+(1-\delta)Y^\alpha\...
financial theory's user avatar

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