All Questions
Tagged with nonparametric distributions
107
questions
1
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2
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173
views
Closeness of 2-parametric discrete distributions when first 2 moments are matching
Let $\mathcal{D}$ be a particular 2-parameter uni-variate discrete distribution family, and let $D(\theta_1, \theta_2) \in \mathcal{D}$ be one particular distribution from this family, where $\theta_i ...
6
votes
1
answer
2k
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Plotting non-parametric (E)CDF confidence envelopes for comparison
I have previously asked about a way to test whether two samples are drawn from the same distribution (Non-parametric test if two samples are drawn from the same distribution). I was very glad to learn ...
- 467
1
vote
0
answers
366
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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 ...
- 11
5
votes
1
answer
680
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Non parametric estimation/regression for conditional distribution
Context : one continuous variable $Y$ dependent on $X$ ($X$ can be anything)
Linear regression, generalized linear model... focus on estimating the conditional expectation $E(Y\mid X)$. I want to ...
- 8,707
0
votes
1
answer
102
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Which stats should I use when samples are uneven and data are not normally distributed?
My data have four groups: "A" normal group (AN), "B" normal group (BN), "A" group with a clinical diagnosis (AC) and "B" group with a clinical diagnosis (BC). They were tested on a task that included ...
- 21
6
votes
1
answer
1k
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How to understand the definition of empirical distribution function
I am reading the All of Nonparametric Statistics, by Larry Wasserman.
At page 12, he defines the empirical distribution function as:
The empirical distribution function $\hat{F_n}$ is the CDF that ...
- 4,776
2
votes
0
answers
5k
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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 ...
- 1,472
3
votes
1
answer
110
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Approximation of distribution that has a positive atom by well-known parametric distributions
I have a variable (say, $y$) in my dataset for which a lot of observations are clustered around some point $c$ and after the point $c$ the distribution looks continuous. I imagine that would be the ...
- 578
1
vote
2
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616
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Creating groups from an extremely positively skewed population (further explanation + image in text)
Obligatory caveat: Stats neophyte, R neophyte, trying to learn more.
I have daily traffic data for 3k URLs for the entirety of 2016. There is a broad cyclical seasonal trend that the majority of them ...
- 13
1
vote
0
answers
277
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Fitting distribution in R with bimodally distributed data from bimodal dataset (with repeated measures)
I am having problems analysing a data set from a study with unbalanced design and that contains repeated measures...I inherited the data and I'm a bit lost.
The response variable is core body ...
- 11
2
votes
1
answer
89
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Distributions of parameters
What are the traditional distributions for assigning probabilities to model parameters?
For instance, assume that we have a binomial distribution:
$$y \sim Bin(n,\theta)$$
Then we can distribute $\...
- 338
3
votes
1
answer
4k
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Empirical probability and Dirac distribution
According to Deep Learning p.65(Ian Goodfellow and Yoshua Bengio and Aaron Courville, available online):
(...) This can be accomplished by defining PDF using the Dirac delta
function $\delta(x)$: ...
- 273
0
votes
1
answer
401
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How do I find the variance and covariance of ranks of independent RVs?
I know how to prove (a), while I don't have idea on(b). It would be nice if u can give me some hints
"$R_1,... R_n$ are their Wilcoxon singed ranks" means the absolute rank of $X_i-m$. Here $m = 0$, ...
- 303
1
vote
1
answer
86
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How to take random draws of a low-entropy "meta-random" distribution
I'm working on a simulation study, and for it I'd like to be able to generate random draws from a random multivariate distribution. I'm looking for something pretty chaotic, in the sense that it's ...
- 13.5k
2
votes
1
answer
919
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Distribution-free test for two-sample multivariate distributions
Suppose that $X_1, \cdots, X_n$ and $Y_1, \cdots, Y_n$ are samples of $R^d$ vectors with distributions $X$ and $Y$ respectively. In addition, assume that there is one-to-one mapping between the first ...
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