A sample Of length hivariate densty nas been from known nction. The sample data points are 3.0, 4.5, 7.5, 8.0, and 8.5. Use the Parzen windows method to estimate the unknown density function throughout the cange 0 < x < 12. Assume that h = 1. The following kerel should be used: %3|

A sample Of length hivariate densty nas been from known nction. The sample data points are 3.0, 4.5, 7.5, 8.0, and 8.5. Use the Parzen windows method to estimate the unknown density function throughout the cange 0 < x < 12. Assume that h = 1. The following kerel should be used: %3|

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A sample D of length 5 has been drawn from an unknown univariate density function. The sample data points are 3.0, 4.5, 7.5, 8.0, and 8.5.
Use the Parzen windows method to estimate the unknown density function throughout the range 0 ≤ x ≤ 12. Assume that h = 1. The following kernel should be used:

k(u) = {(((2+u)/3)if-2≤u <-1; (1/3)if-1≤u <1; ((2-u)/3)if1 ≤u<2); 0 otherwise

Plot the unknown density function on a sheet of graph paper.

A sample D of length 5 has been drawn from an unknown univariate density function.
The sample data points are 3.0, 4.5, 7.5, 8.0, and 8.5.
Use the Parzen windows method to estimate the unknown density function throughout the
range 0 < x < 12. Assume that h = 1. The following kernel should be used:
2 + u'
if – 2 <u < -1
к(и) %3
if – 1< u <1
if 1< u < 2
otherwise
Plot the unknown density function on a sheet of graph paper.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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