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Strong consistency of kernel density estimator

I am studying the book Nonparametric and Semiparametric Models written by Wolfgang Hardle and have difficulty with the following exercise: $\textbf{Exercise 3.13}$ Show that $\hat{f_h}^{(n)}(x) \...
graham's user avatar
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1 vote
0 answers
72 views

How does Huber compute the $\operatorname{var}(s_n)/E[s_n]^2$ and $\operatorname{var}(d_n)/E[d_n]^2$?

(N.B. I am cross posting this question from math stackexchange since after x days I have still not received any responses.) How does Huber in book 'Robust statistical procedures' in chapter 1 compute ...
peter's user avatar
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0 votes
0 answers
57 views

What is the difference between a repeated cross-sectional survey design and a trend survey design?

Most of the references I have checked for repeated cross-sectional design and trend design (a type of longitudinal design) have said that they are one and the same. However, my professor says that ...
abetebatebs's user avatar
0 votes
0 answers
23 views

BMA formula with BIC

I am interested in using Bayesian modele averaging as a selection creteria (BMA) vs AIC. I read that BMA is widely implemented in clustering models. Suppose that we need to fit M models to a data and ...
Alice's user avatar
  • 640
3 votes
1 answer
30 views

Why is the space complexity of KNN $O(dN)$?

If you Google search the space complextiy of KNN, virtually all answers are saying that it costs $O(dN)$, where $d$ is the dimension of our data and $N$ is the number of our data. But why? I ...
Fraïssé's user avatar
  • 1,373
0 votes
1 answer
48 views

Binomial distribution with two probabilities

Here's the problem I have: The probability that an apple is red is 80%. The probability that a red apple is rotten is 10%. If 10 apples are picked at random, what are the odds that half are red and ...
manfickle's user avatar
0 votes
0 answers
21 views

Determine direction of bias with measurement error

We want to estimate the following population model: $$y_i=\beta x_i+\epsilon_i$$ with $E[y_i]=E[x_i]=$ and $E[x_i\epsilon_i]=0$. We cannot observe $x_i$ directly, but we observe two variables $x_i^a$ ...
manifold's user avatar
  • 141
0 votes
0 answers
10 views

Clustering of Variables around Latent Variables (CLV) over only qualitative data

I'm reaching out today because I have a concern regarding the clustering approach employed with the CLV method introduced by Vigneau and Qannari in 2003. I've noticed that this method is predominantly ...
lasagna's user avatar
  • 11
12 votes
7 answers
5k views

To a Bayesian, does a trick coin with two heads have 50% chance of flipping heads if they don't know that it has two heads?

And to expand on this idea, would uncertainty and complexity be the same thing to a Bayesian? For example, games with much randomness like poker and games that are more complexity based like chess -- ...
setblack7's user avatar
  • 123
2 votes
2 answers
327 views

How could Lilliefors use Monte Carlo if the estimand is not distribution-free?

Lilliefors test is a well-known statistical test for normality. Its idea is based on the Kolmogorov-Smirnov test, except the CDF is replaced by the CDF of the normal distribution with $\mu, \sigma^2$ ...
Student's user avatar
  • 235
0 votes
0 answers
12 views

Incorrect reasoning on sampling from marginals

Suppose we want to sample $X$ from a density $p(x) = e^{f(x)}$. My thought was that maybe we can introduce an auxiliary variable $Y$ such that $p(y|x) \propto e^{-\|(x,y)\|^2/2 - f(x)}$. Then the ...
Carson James's user avatar
1 vote
1 answer
39 views

Hypothesis testing in moderation analysis after Propensity Score Matching

I would like to perform a moderation analysis after Propensity Score Matching with a binary outcome model. I estimate a logistic regression outcome model (following this vignette). I am wondering, ...
Isabella 's user avatar
0 votes
0 answers
19 views

How to know errorbars on accuracy to nonlinear fit: $A(1-\cos(x+\phi))$ with poisson noise?

I am trying to write some code that accurately estimates the parameters for the following function: $$ Y = A(1-V \cos(X+\phi)) $$, where this output data is poisson distributed. To do this, I first ...
Steven Sagona's user avatar
0 votes
0 answers
9 views

Prediction when Target's lag values are part of Predictors

I'm using LGBM for regression, where the Target column's lagged values (7 columns for each lag day) are also used as predictors when training the model. Absence of the 7Day lag values severely ...
fast_crawler's user avatar
0 votes
0 answers
35 views

Is predicting a coin flip 1:2 or 1:4 [closed]

My question actually applies to stock options "expected move" as published on trading platforms. The expected move calculation predicts wheather a stock price will move up a finite number of ...
Roland Comfort's user avatar
0 votes
2 answers
33 views

Question about 2 way mixed ANOVA when there is a significant between-group effect and it's relations to my hypothesis

I'm doing a research project for university and am trying to figure out how I should be interpreting my between-group effect in my mixed ANOVA. My within-subjects variable is time and my between-group ...
Liam's user avatar
  • 1
1 vote
0 answers
26 views

How to analyze multivariate data that comes from a 2D design space?

I'm analyzing a set of biological samples. Each sample is linked to a specific carbon and nitrogen concentration, representing the 2D (experimental) design space I referenced in the title. I've ...
rgvalenciaalbornoz's user avatar
-1 votes
0 answers
15 views

A random number generator has a 0.7% chance to land on prize A. Given a 90% confidence level, how many tries will it take to get prize A? [closed]

A random number generator has a 0.7% chance to land on prize A. Given a 90% confidence level, how many tries will it take to get prize A? Please list the equations and approach used.
user13349521's user avatar
-1 votes
0 answers
11 views

In the group sequential design how do we compute the test statistics for non-normal? [closed]

If the data doesn't follow, which test statistics could be used! How will it affect inflate the type-1 error?
Passang Dorji's user avatar
-1 votes
0 answers
8 views

Clustering human evaluation

I am trying to figure out how can I evaluate my clustering methodology. I have gathered and processed some data such as: I want to have several humans to put labels in column C, based on the top ...
lynx's user avatar
  • 555
3 votes
1 answer
37 views

Why does nlme::fdHess return NaNs when evaluated at 0? [closed]

Why does the finite-differences gradient/hessian approximation nlme::fdHess return NaNs when seeking the gradient/hessian at 0? <...
kara890's user avatar
  • 129
-1 votes
0 answers
28 views

Due to limited information How can I restructure my model to capture this relationship? [duplicate]

I created a model for prediction. The target data has a total of 4 classes (0-3), which makes my model completely ineffective. Due to limited information How can I restructure my model to capture this ...
Max's user avatar
  • 1
2 votes
1 answer
80 views

E-commerce - Does higher delivery time lead to lower sales?

Question I have a practical problem and am seeking guidance on how to use statistical methods to solve it. I have an online store. The products in the online store have varying availability: 24 hours ...
Draex_'s user avatar
  • 121
1 vote
0 answers
48 views

Average Marginal Effect interpretation for probit Model

I'd like to have your feedback about the interpretation of the Average Marginal Effect (AME) for a probit model. Suppose we have the following model \begin{equation} P(y=1|x)= \Phi(\beta_0 + \beta_1 ...
Maximilian's user avatar
0 votes
0 answers
10 views

Problem in understanding Brewster and Zidek technique to improve equivariant estimate [closed]

I am started working in estimation of parameters for several distribution. There I found that in most of recent papers they use Brewster and Zidek technique from paper "Improving on equivariant ...
Naveen Kumar's user avatar
0 votes
2 answers
42 views

What is the best test to use?

I am working on a project in my R introductory course but I really dont know what statistical test to use. I got my data from the Malaria Atlas Project. I want to know if the the Use of insecticide ...
Allan's user avatar
  • 1
0 votes
0 answers
15 views

In Sklearn, based on scores, what model should I start tuning? [closed]

I am quite new in the Data Science world, so please be patient. I am working on this Titanic classification project just to start practicing with machine learning https://www.kaggle.com/competitions/...
Sam's user avatar
  • 1
0 votes
0 answers
17 views

Multivariate normal distribution conditioning inequalities variable [closed]

The bivariate normal distribution X is as follows. $X = (X_1, X_2)^\top \sim \mathcal{N}(\mu, \Sigma), ~ X \in \mathbb{R}^2 $ I want to know the exact distribution(pdf) $P(X | X_1 > X_2)$ in which ...
jaehwan-jung's user avatar
2 votes
0 answers
29 views

Derivative-based effect size for Gaussian GAMs

It is often the realistic advice I have seen here that Gaussian GAMs are not regressions with which you can easily approximate an effect size for, as the effects are of course non-linear. However, we ...
Shawn Hemelstrand's user avatar
2 votes
1 answer
38 views

Delong's test for comparing the significance difference of two AUC

I have done two prediction model in R as an example as below: ...
user358238's user avatar
0 votes
1 answer
23 views

How to model observation error of multiple entries on a single Likert-type item?

This is a hypothetical problem for me at the moment because (1) I have no such data and (2) often software provides a forced choice in these cases so I doubt it would be a problem if I conducted a ...
Galen's user avatar
  • 6,988
0 votes
0 answers
15 views

How to construct homogeneous subsets table for nonparametric tests?

Does post-hoc for friedman tests or nonparametric testshave like a homogeneous subset table from SPSS? Mean doesn't represent it well so I tried using median but my data was zero-inflated so the most ...
Derf's user avatar
  • 35
0 votes
0 answers
8 views

Can LayerNorm be used with feed forward neural networks? [closed]

FFN usually uses batch norm, but is there any reason why layernorm isn't used?
JobHunter69's user avatar
0 votes
1 answer
89 views

Parametric vs Non-parametric test recommendation

What type of non-parametric test would be suitable for the dataset shown in the image: The sample size is 200 each for both variables. The data value can vary from 0-4 for both variables. The ...
scouse_s's user avatar
0 votes
0 answers
8 views

Is there a method bias when I prefer a specific post-hoc that shows a significance after significance in test of difference in groups?

I'm working to see if a machine does better than a worker in terms measurement (by having a measurement from an expert be the control). So my dataframe contains the Measurement Value, Measuring Device,...
Derf's user avatar
  • 35
0 votes
0 answers
10 views

Seeking Guidance to Ecological Models: Where to Start as a New Ecology Student [closed]

I am a new ecology student and am interested in the model part of ecology. I've used a few models, and while I can get results with them, I find that I don't really understand them. I don't know why ...
Liufeng Wang's user avatar
0 votes
0 answers
9 views

Optimal formula to predict product when one of the components is certain

When an item is clicked, it generates revenue equal to the cost per click (CPC). As such, revenue = I(click) x CPC. I want to select the item with highest expected ...
Dmitri Korof's user avatar
0 votes
0 answers
22 views

R deltaMethod(): evaluating a combination of parameters when one cell is empty [closed]

I'm running a linear regression with two categorical predictors and their interaction. One combination of levels does not occur in the data, and as expected, no parameter is estimated for it. I now ...
octern's user avatar
  • 564
0 votes
0 answers
13 views

Training problem in CNN model for image classification

I am training Cifar-10 dataset of 32 x 32 sized coloured images for image classification. Here is the link/source to the dataset and its description: https://www.cs.toronto.edu/~kriz/cifar.html The ...
keen_Learner 's user avatar
0 votes
0 answers
11 views

What does it mean when the Neural Network frequently has poor weight initialization?

I've been training a neural network to learn simple functions like addition. When I train this neural network from scratch, about half the time the neural network gets great accuracy, and the other ...
JobHunter69's user avatar
0 votes
0 answers
26 views

PROC MIXED HELP [closed]

I am just starting out with PROC MIXED and unable to find help at my university, so hoping someone here can help! I am setting up a model where my outcome (weight) is measured 3 times (baseline, 12m, ...
S P's user avatar
  • 11
1 vote
1 answer
34 views

How to specify a linear mixed model (LMM) for a repeated measures design with two categorical predictors and one continuous?

I would appreciate some help figuring whether a linear mixed model (LMM) is a good choice for my data. My experiment is a 3 (neurostimulation target) X 2 (task block) repeated measures design that ...
arhopki's user avatar
  • 11
1 vote
0 answers
27 views

Neural network as alternative to conventional nonlinear regression?

Can I use the strength of neural networks for data analysis? Suppose I want to find a fit to a noisy sine curve $1 - V \sin(w \theta+ \phi)$ and I want to find an estimate for parameters V, $w$ and $\...
Steven Sagona's user avatar
0 votes
0 answers
34 views

Comparison of regression coefficients, same y but two different X versions

I've seen versions of this question but not specifically answering the question of a statistical test to compare the beta coefficients for two independent variables (x1, x2) but the same dependent ...
cmilando's user avatar
0 votes
0 answers
6 views

Model Selection on Coxme

I am building a "time to event" model using the coxme package in R. I have a lot of mixed effects (15) that I want to input into a global model and find the best fit for - is there a model ...
michellemoyah's user avatar
0 votes
0 answers
9 views

Causal mediation analysis for time to event endpoints in randomized controlled trial data analysiscausal inference survival-analysis

I am struggling with a situation. I have an RCT where there is an intermediate variable and an ultimate endpoint of survival (a time to event endpoint). I want to establish that the intermediate ...
Biostats's user avatar
0 votes
1 answer
17 views

Best test for comparison of temporal counts

I have a data set of 182 concurrent count observations using two different methods and I was wondering what would be the best test to evaluate how closely related they are to each other. My data set ...
Ryan Gary's user avatar
3 votes
1 answer
39 views

Validity of using non-time variable in survival analysis

I’ve conducted a time-to-event analysis (accelerated failure time) for a research project, looking at the effect of an intervention on the probability of needing a blood transfusion during surgery. ...
user20280250's user avatar
1 vote
0 answers
23 views

Weighted average of covariance matrixes

My issue is as follows: In my model there are 4 different states, which each have a calculated probability of happening. I also have calculated covariance matrixes for my variables in each of these ...
Theo's user avatar
  • 11
-1 votes
0 answers
20 views

Wrong results for (pseudo)median on Wilcoxon paired test in R [closed]

I calculated results for the paired Wilcoxon test, one of which is (pseudo)median. I tried to reproduce the computation of the ...
sbac's user avatar
  • 143

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