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All Questions

33 questions with no upvoted or accepted answers
4 votes
1 answer
106 views

Nonparemetric tests: how to support the null hypothesis you claim to be testing

Let us assume that we have taken an unbalanced number of independent random samples from 5 different populations, which will be analogous to 5 different locations in this example. Each observation ...
Ryan's user avatar
  • 351
2 votes
0 answers
69 views

When is the central limit theorem not applied?

I am trying to compare two matched samples. In total I have a sample of 34 people. Each patient receives two treatments, a C1 treatment and a C2 treatment. So each patient will be compared to himself ...
Seydou GORO's user avatar
2 votes
0 answers
104 views

Fitting a range of distribution and test for goodness of fit - choose based on p-value or chi-squared values?

I have data for which I want to study the best distribution that fits this data. I am following this blog post to do my experiments. Basically the following things are happening: fit a number of ...
Perl Del Rey's user avatar
2 votes
0 answers
83 views

Estimating conditional probability distribution from samples

I have three continuous variables, $X$, $Y_1$ and $Y_2$. All three are correlated. For a given value of $X$, the conditional probability distributions of $Y_1$ and $Y_2$ are typically bimodal. I'm ...
ylangylang's user avatar
2 votes
0 answers
150 views

Derive probability distributions from i.i.d. Gumbel

I have a question on how to derive (if possible) the following probability distributions. Consider 3 random variables $(X,Y,Z)$ mutually independent and identically distributed. Specifically, $X$ is ...
Star's user avatar
  • 891
2 votes
0 answers
5k views

How to "standardize" count data that is not normally distributed (or poisson distributed)?

I have a count dataset (num_samples=7, num_attributes=14117) that I want to normalize (for lack of a better word). Each of the samples has a different number of ...
O.rka's user avatar
  • 1,472
2 votes
0 answers
54 views

Suggest a (nonparametric?) test for the difference between two strictly-positive distributions

$\mathbf{X}$ is a $n\times p$ matrix of data. I'm treating $\mathbf{X}$ as having a multivariate normal distribution with some arbitrary covariance structure. $\mathbf{Y}$ is a $(m<n)\times p$ ...
generic_user's user avatar
  • 13.5k
2 votes
0 answers
153 views

bootstrapping the density: bias from parametric bootstrap of polynomial fit of binned frequencies

Bootstrap examples for density estimation usually start with resampling from the empirical distribution of the "micro data", e.g. here on Normal Deviate talking about confidence intervals for ...
László's user avatar
  • 987
2 votes
0 answers
264 views

Pareto distribution rules out stable distribution?

In the following paper http://fic.wharton.upenn.edu/fic/papers/99/9914.pdf on catastrophic damage, I read a sentence the puzzled me (p. 23): For the hurricane data the Pareto gives the heaviest ...
user13655's user avatar
  • 387
1 vote
0 answers
131 views

What is the resulting distribution of a data set that was originally normally distributed but has been quantized and had all negative values removed?

I am trying to benchmark a seasonal forecasting model and calculate not just the point forecasts but the forecast densities from the model. To do this, I generated a simulated data set in the ...
Akaike's Children's user avatar
1 vote
0 answers
23 views

Ways to make parametric statistics work with real time (often non-normal) data

BACKGROUND: I have been tasked with teaching basic data analysis methods with R to a group of people in a business setting. While my stance is that I am most difinitely not at the level where I ...
random_guy's user avatar
1 vote
0 answers
41 views

Prove the relation between two distribution functions

I have been given a homework in a subject called "Non-Parametric Statistics" and I'm a bit stuck with it. I would be very thankful if you could give me any advice or help, which would lead to a ...
Martin Smith's user avatar
1 vote
0 answers
692 views

Type of parameter of the chi-squared distribution

Chi-squared distribution $\chi^2(k)$ has parameter $k$. On the one hand, $k$ should be the shape parameter because chi-squared distribution is a special case of Gamma distribution: $\chi^2(k) \equiv ...
Rodvi's user avatar
  • 1,008
1 vote
0 answers
31 views

Estimating Gamma PDF parameters from data with negative increments

Say we have collected data, and from a physical perspective we know that the collected data should increase positively with time. However the data looks more like this: This data shown in the figure ...
AnarKi's user avatar
  • 565
1 vote
0 answers
366 views

Distribution (group) comparison based on PCA

I am looking for a way to compare the first the k principal components belonging to two separate groups of two-dimensional data, in order to see how similar the two groups are. I do not know which ...
MarkoF's user avatar
  • 11

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