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1 vote
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histogram vs. kernel in density estimation

Assume we have a problem of estimation of a density $f(x)$ over an interval $[0, 1]$. Can a regular histogram (i.e. with equal-sized bins) be viewed as some kind of a kernel?
ABK's user avatar
  • 668
3 votes
0 answers
206 views

What methods are there for estimating distributions based on histograms?

I recently worked on a consulting project where a client wanted to estimate gamma and weibull distributions based purely on histograms rather than raw-data. I have never worked with problems like that ...
Samir Rachid Zaim's user avatar
2 votes
0 answers
314 views

How to choose the window size of Parzen-window density estimation with Gaussian kernel? [duplicate]

I have many sets of univariate sample data as the following: $$ X = \{x_i, i=1,2,...N\} $$ and I'm using Parzen-window density estimation with Gaussian kernel. $$ \frac{1}{N}\sum_i^N \frac{1}{\sqrt{...
Xi Liu's user avatar
  • 21
2 votes
1 answer
411 views

Confusion related to histogram density estimation

I have some confusion related to how the density is estimated from the histogram. I have attached the screenshot of the paper as well. Any insights I didn't get why you divide it into cubes and why ...
user34790's user avatar
  • 6,847
1 vote
0 answers
85 views

References regarding rules for multidimensional histograms

Can someone give me references on the theory of histograms applied to multivariate data? Are there any rules like the one dimensional Freedman-Diaconis available for the high dimensional case? What ...
Kruif's user avatar
  • 11