Relation between parzen window estimate and histogram
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Can histogram density estimation be seen as approximation to parzen density estimation with the usual hyper cube function
$1/h^d Sigma_{1 le i le n} varphi(frac{x-x_i}{h})$ where $varphi(y)=1$ if $|y| le 1/2$ and $0$ otherwise. Parzen window raises a histogram bin at each point and determines average density at this point while histogram assumes density to uniform over fixed bins. Is my understanding correct.
estimation density-function
asked Dec 19 '18 at 11:14
CuriousCurious
889516
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add a comment |
$begingroup$
Can histogram density estimation be seen as approximation to parzen density estimation with the usual hyper cube function
$1/h^d Sigma_{1 le i le n} varphi(frac{x-x_i}{h})$ where $varphi(y)=1$ if $|y| le 1/2$ and $0$ otherwise. Parzen window raises a histogram bin at each point and determines average density at this point while histogram assumes density to uniform over fixed bins. Is my understanding correct.
estimation density-function
asked Dec 19 '18 at 11:14
CuriousCurious
889516
$endgroup$
add a comment |
$begingroup$
Can histogram density estimation be seen as approximation to parzen density estimation with the usual hyper cube function
$1/h^d Sigma_{1 le i le n} varphi(frac{x-x_i}{h})$ where $varphi(y)=1$ if $|y| le 1/2$ and $0$ otherwise. Parzen window raises a histogram bin at each point and determines average density at this point while histogram assumes density to uniform over fixed bins. Is my understanding correct.
estimation density-function
asked Dec 19 '18 at 11:14
CuriousCurious
889516
$endgroup$
Can histogram density estimation be seen as approximation to parzen density estimation with the usual hyper cube function
$1/h^d Sigma_{1 le i le n} varphi(frac{x-x_i}{h})$ where $varphi(y)=1$ if $|y| le 1/2$ and $0$ otherwise. Parzen window raises a histogram bin at each point and determines average density at this point while histogram assumes density to uniform over fixed bins. Is my understanding correct.
estimation density-function
estimation density-function
asked Dec 19 '18 at 11:14
CuriousCurious
889516
asked Dec 19 '18 at 11:14
CuriousCurious
889516
asked Dec 19 '18 at 11:14
CuriousCurious
889516
asked Dec 19 '18 at 11:14
CuriousCurious
889516
asked Dec 19 '18 at 11:14
CuriousCurious
889516
889516
add a comment |
add a comment |
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