区间删失下广义幂威布尔非线性回归模型的参数估计2011(2)

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1、12ÏuÀÆÆ(g,Æ)No.22011c3JournalofEastChinaNormalUniversity(NaturalScience)Mar.2011©©©ÙÙÙ???ÒÒÒ:1000-5641(2011)02-0047-07«««mmmíííeee222ÂÂÂ%%%ÙÙÙ£££888...ëëëêêêOOO6ZZ,Xþ%,)¹(H®àÆnÆ,H®210095)Á:ïÄ«mí*ÿêâ,(Ü2Â%Ù©ÙÚ5£8.JÑ2Â%Ù5£8.,¿ÄuS{Ñ.¥ëê4q,O.ÒØÓx¼ê!þÚí',ÏLAkâ

2、[`²ëêO{k5.'c:«míêâ;2Â%Ù©Ù;5£8;4q,O;Akâ[¥ã©aÒ:O212©zI£è:ADOI:10.3969/j.issn.1000-5641.2011.02.007Parametricestimationofgeneralized-power-Weibullregressionmodelswithinterval-censoreddataZHUJia-jia,TIANHou-kun,XIEFeng-chang(DepartmentofScience,NanjingAgriculturalUniversity,Nanjin

3、g210095,China)Abstract:Inordertostudyinterval-censoredobservationdata,aclassofgeneralized-power-Weibullnon-linearregressionmodelscombingthegeneralized-power-Weibulldistributionandthenon-linearregressionmodelwasproposed,andthemaximumlikeli-hoodestimatesofthemodelparameterswereobtaine

4、dbasedoniteration.Finally,someMonteCarlosimulationresultsweregiventoillustratetheeffectivenessoftheproposedmethodintermsofdifferenthazardfunctions,samplesizesandcensoringproportions.Keywords:interval-censoreddata;generalized-power-Weibulldistribution;non-linearregression;maximumlikeli

5、hoodestimate;MonteCarlosimulation0Úó8c,%Ù©Ù3)©Û¥®k2A^[1,2],´3¢S¯K¥k¬x¼êúG/.X3

6、1ö:6ZZ,å,a¬,ïÄênÚO.E-mail:jiajia.zhu@163.com.ÏÕö:)¹,I,BÇ,ÌïÄÚOä.E-mail:fcxie@njau.edu.cn.48uÀÆÆ(g,Æ)2011c½ü¸/¹,U?nx¼êúG/.,,3¢S¯K¥~¬Cþm'X´5¹,d~~/Ïu5£8[8,9]5©Û¯K.3)©Û¥,êâ~Ñyí/,Ù¥«míêâ[10,11]´aéêâ,§23uó§.Ú)ÔÆ..'X,3KÁ¥,)ýkSüÐum,XJ3mu?11gu,

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8、(T),λ=exp(µ),ν=1,Y