7 CHI-SQUARED GOODNESS OF FIT TEST FOR GENERALIZED BIRNBAUM ...
7 CHI-SQUARED GOODNESS OF FIT TEST FOR GENERALIZED BIRNBAUM ...
7 CHI-SQUARED GOODNESS OF FIT TEST FOR GENERALIZED BIRNBAUM ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
M. S. Nikulin and X. Q. Tran – <strong>CHI</strong>-<strong>SQUARED</strong> <strong>GOODNESS</strong>-<strong>OF</strong>-<strong>FIT</strong> TETS <strong>FOR</strong> <strong>GENERALIZED</strong> <strong>BIRNBAUM</strong>-SAUNDERS MODELS <strong>FOR</strong>RIGHT CENSORED DATA AND ITS RELIABILITY APPLICATIONSRT&A # 02 (29)(Vol.8) 2013, JuneKernelDistributionProbability density function of ,GBS-StudentL(0, 1) GBS-LaplaceLog(0, 1) GBS-LogisticC(0, 1) GBS-CauchyKT(q, r, s) GBS-KTPVII(q, r) GBS-PVIIPE(r, s) GBS-PETable 2: The p.d.f of11 3 22 2 1 t 1 222 ( 2) t t t 1 3 2 2 1 1 t exp 4 t t t 1 t 1 3exp 1 2 2 t 2 t t 1 t 1 exp t 1 1 t 1 222 t t t 1 3 12 21 32 22q1 2s2q3sr t t r t1q 2s s exp 2 2q1 t2 t 2s 2 t 2( 1)21 3 ( q) 2 2 1 t 1 222 r( q 1/ 2) t t t 1 1 3 2s2s2 2 sr r t exp2s1 2 ( )t t t 2sfor some indicated distributions. 12Figure 1: Plots of densities for given kernel .10
Change language