Penaksiran fungsi densitas tipe kernel untuk nilai variabel random positif

TALAKUA, Mozart Winston, Prof.Dr. Zanzawi Soejoeti, MSc

2001 | Tesis | S2 Matematika

Thls paper show about estimator type kernel for the density function of non negative random variables, where the kernel function is a probability density function on (0,a). Which is defined as: FORMULA.... oc condition as fallow Ix2k * (x)dx < 00 where $in ] is a sequence chosen such 0 that /ill + 0 and nhl1 -+ 00 as n + 00 . Properties of these estimators wiill be discussed. The value of Asimtotic-Integral mean square error of kernel estimator would be obtained. It is shown, however, that any reasionable kernel gives almost the same mean square error.

Kata Kunci : Estimasi Kernel,Fungsi Densitas, Density Estimation, KerneI-type Estimator, Asimtotic-Mean Integral Square Error,Optimal Bandwidth