Statistical Analysis Stack Exchange
Statistical Analysis Stack Exchange

Questions tagged [multimodality]

34 questions
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Which statistical methods are best suited for distribution with two peaks?

My data shows this distribution: I am looking for a statistical distribution which my data follows. Thought about poisson distribution, but goodness of fit test shows p < 0.05
Fab
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Multimodal prior

In Bayesian method, a posterior can be either unimodal or multimodal. But, I cannot find any multimodal prior case yet. I wonder if it is possible, and there is any case that is using multimodal prior.
Kim
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Testing for uniformity of p-values with multi-modal samples

I'm working with data that is multi-modal, I need to be able to check if the individual samples are statistically distinct or not, so I'm running KS-test against pairs of samples. But I've noticed that p-values below 0.05 were showing up less often…
Hubert Kario
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Is the likelihood of the sum of unimodal likelihoods also unimodal?

Let $p$ be a probability distribution and let $\mathcal{D}_1$, $\mathcal{D}_2$ be two sets of observations. If the likelihood of the parameter for some observations $$ \mathcal{L}(\theta; \mathcal{D}) = p(\mathcal{D} | \theta) $$ has a single mode,…
alberto
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Confusion about multimodal machine learning

I recently browsed through this tutorial on multimodal data. Attention: Multimodal in the sense of feature of very different type, that express the same thing -think picture and voice of someone talking -not in the sense of a probability…
l7ll7
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Is the Latent Dirichlet Allocation topic posterior multimodal?

In fitting the Latent Dirichlet Allocation with collapsed Gibbs sampling one builds a sampled approximation to the topic posterior distribution, $P(z|w)$ and use that to calculate the topic and word probabilities for each document. Is this posterior…
luffe
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Multimodality of mixtures of more than two Normal distributions

Let $$\phi(x;\mu,\sigma) = \frac{1}{\sigma \sqrt{2\pi}} \exp \left(- \frac{(x-\mu)^2}{2\sigma^2}\right)$$ denote the Gaussian density function ($\sigma > 0$). Let $$f(x) = \sum_{i=1}^N p_i \phi(x;\mu_i,\sigma_i)$$ denote an $N$-component mixture…
becko
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How to combine multiple signal data in my ML model?

I'm doing a task where I need to work with healthcare data from a few different sources. For example, one is an audio signal recording while another is biometric signal reading such as ECG. Both of these will be available for each patient, and we…
sfactor
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How to numerically find the mode of a joint probability distribution from samples?

I have a large number of samples (say $N$) from a multimodal joint probability distribution, for example: a b c d e f 0.01 5.37 2.87 3.22 1.93 5.38 0.07 5.24 2.99 3.56 2.02 6.01 ... I want to find the values…
rhombidodecahedron
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Evaluation of MCMC samples

My model contains five parameters. I want to make Bayesian estimation, but the Bayes estimates can not be obtained in closed form. So, I used Metropolis-Hastings to generate MCMC samples from conditional posterior density of each parameter. The…
userr
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How to test for inequality in the presence of non-independent noise?

I have multiple samples which include a response time of a system. I want to test if no sample is significantly different (primarily the expected value). For two sample testing I'm using the sign test and for testing multiple ones at a time I'm…
Hubert Kario
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Statistic for measuring the magnitude of bimodality in a distribution?

Here are some distributions of US political views by industry: After observing their mostly bimodal nature, I would like to measure the degree of bimodality in each of the distributions for the purpose of comparison with the same distribution over…
stevec
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Is the multimodal as in multimodal machine learning the same as that as in multimodal distribution?

The multimodal distribution is a distribution with multiple modes as shown below. It reminds me of the multimodal machine learning where multimodal implies multiple types of information, just like that in multimedia, thus I wonder if multimedia…
Lerner Zhang
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What is a robust distribution for truncated, multi-modal count data for use in GLM analysis?

I have a dataset consisting of observations of number of fish caught per sampling event and would like to conduct a variety GLM analyses on it using R. The maximum number of fish is capped at 75 (total number of hooks set out), but can range…
FredGMeyer
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Finding the first tail in distribution

Pdf of a distribution is shown in the figure below. Is there a way to estimate the first tail (or) to segment first mode and its tail? he KDE plot resulted from a transaction dataset where transactions occur at two frequencies - one immediately…
Augustine Samuel
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