A Quadratic Measure of Deviation of Two-Dimensional Density Estimates and A Test of Independence
The Annals of Statistics · 1975 · Volume 3 · Issue 1
Abstract
This paper considers estimates of multidimensional density functions based on a bounded and bandlimited weight function. The asymptotic behavior of quadratic functions of density function estimates useful in setting up a test of goodness of fit of the density function is determined. A test of independent is also given. The methods use a Poissonization of sample size. The estimates considered are appropriate if interested in estimating density functions or determining local deviations from a given density function.
Keywords
62G0S, 62H30, 65D10, asymptotic distribution, bandwidth quadratic measure, Multidimensional density estimates, test of goodness of fit, test of independence, weight function
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