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5 votes
2 answers
549 views

Is density estimation the same as parameter estimation?

I was studying parameter estimation from Sheldon Ross' probability and statistics book. Here the task of parameter estimation is described as follows: Is this task the same of density estimation in ...
tail's user avatar
  • 151
1 vote
0 answers
135 views

Extraction of modes from a multi-modal density function

I am trying to extract modes from a multi-modal density function and not just peaks. For example, in the two density functions below (images), I would like to extract the curves contained in the black ...
curiosus's user avatar
  • 323
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
4 votes
0 answers
442 views

Derivation of k nearest neighbor classification rule

One way to derive the k-NN decision rule based on the k-NN density estimation goes as follows: given $k$ the number of neighbors, $k_i$ the number of neighbors of class $i$ in the bucket, $N$ the ...
diegobatt's user avatar
  • 426
1 vote
1 answer
353 views

How Parzen window density estimate $f_n$ converges to f

I am trying to understand how Parzen window density estimate converges to actual density function f(x).[Actually i am trying to learn machine learning on my own using available free resources. Please ...
Nascimento de Cos's user avatar
2 votes
1 answer
381 views

Learn a distribution from distributions on samples [closed]

There's many good ways to learn a distribution $p_X$ of an r.v. $X$ over $k$ symbols given many i.i.d. samples $X_1,\ldots, X_n$. The simplest is to use the sample relative frequencies $\hat{f}_X$ as ...
chausies's user avatar
  • 421