Questions tagged [finite-mixture-model]

Finite mixture model represents the presence of subpopulations within an overall population and describes the data in terms of mixture distribution. Finite mixture models are commonly used for model-based clustering, but they can be used also for other problems, like cluster-wise regression, mixture of generalized linear models and other mixtures. Finite mixture models for binary and categorical data are known under the name of latent class analysis.

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908 views

Population Monte Carlo Algorithm

I am trying to wrap my head around the Population Monte Carlo Algorithm. I want to implement it for a mixture model, but I am uncertain on how to proceed. I am mostly looking for references or ...
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555 views

solution to mixture CDF / inverse CDF of finite mixture

I am currently numerically solving the follwing equation, which is a convex combination/finite mixture of two marginal CDFs $F(x)$ and $G(x)$ (actually they are joint CDFs but all arguments but x are ...
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2answers
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Standard deviation for weighted sum of normal distributions

I have 2 normally distributed random variable $H_0$ and $H_1$, which are combined to give the weighted distribution $H$ as follows: $H_0 \sim N(\mu_0, \sigma_0)$ $H_1 \sim N(\mu_1, \sigma_1)$ $$f_H ...
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1answer
397 views

How can we simulate from a geometric mixture?

If $f_1,\ldots,f_k$ are known densities from which I can simulate, i.e., for which an algorithm is available. and if the product $$\prod_{i=1}^k f_i(x)^{\alpha_i}\qquad \alpha_1,\ldots,\alpha_k>0$$ ...
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0answers
132 views

The expected correlation from a mixture of binomial distribution

I am working on a particular mixture model of the following form: $\frac AB =\frac CD$, where I am mainly interested in the correlation between both ratios. I have done several simulations that show ...
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28 views

Composition of Normals — Finite mixture with some known parameters

I.e., the data was generated from 5 normal distributions: ...
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0answers
92 views

Statistical methods for adjusting heaping in birth weight data

I have a birth weight data of children under aged 5 years (sample size, n=2000). Data comes from two sources: Mothers recall (n=1500) and Health card (n=500). Naturally, mothers' recall data are ...
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0answers
487 views

Can I have a bimodal likelihood function to represent a mix of two populations?

I came across the following toy example and am lacking a final answer/step to finish the analysis. Imagine a surgery or medical procedure where we don't know the success-probability. It can be ...

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