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2 votes
1 answer
39 views

Why might the functional form of a distribution be "inappropriate" for a particular application?

Working through Bishop's Pattern Recognition and Machine Learning(a great read so far!) and on page 67 he says: "One limitation of the parametric approach is that it assumes a specific ...
stochasticmrfox's user avatar
0 votes
0 answers
337 views

Is a non-parametric density estimation required for a bimodal distribution?

How to approach the following two cases is clear, I am mentioning them to set up my question. (Case 1): For data that appears to be a Gaussian distribution, we can assume the distribution is Gaussian ...
ManUtdBloke's user avatar
2 votes
1 answer
839 views

Convergence of kernel density estimate as the sample size grows

Let $X\sim\text{Normal}(0,1)$ and let $f_X$ be its probability density function. I conducted some numerical experiments in the software Mathematica to estimate $f_X$ via a kernel method. Let $\hat{f}...
user269666's user avatar
1 vote
1 answer
160 views

Credibility evaluation - how to model conditional continuous density from multiple variables of various types?

I recently got dataset for 37000 households with declared income and a few dozens of other variables of various types: continuous, discrete, binary. The task is to automatically (unsupervised) ...
Jarek Duda's user avatar
3 votes
3 answers
223 views

Literature on nonparametric density estimation

I am about to write my bachelor thesis about non-parametric density estimation, especially kernel density estimators and their application in classification. As I am quite new to looking for academic ...
Matt's user avatar
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