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Vol.26 No.3 张志刚等:随机一模糊线性回归模型的参数估计及应用 ·329· 中国统计出版社,1990 北京:科学出版社,1978 3彭长清。误差与回归M.北京:兵器工业出版社,5李安贵,张志宏,段凤英.模糊数学及其应用M.北 1991 京:冶金工业出版社,1994 4穆德AM,格雷比尔FA.统计学导论[M史定华译 Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application ZHANG Zhigang",WANG Peng?,LI Angui,CAI Meifeng,ZHANG Hongying 1)Applied Science School,University of Science and Technology Beijing,Beijing 100083,China 2)Civil and Environmenfal Engineering School,University of Science and Technology Beijing,Beijing 100083,China 3)Shiquanhu Reservoir,Ju'nan 276600,China ABSTRACT The regression parameters estimation exprssions of a random-fuzzy linear regression model are de- duced.It is proved that they are an unbiased estimator.The formulae for calculating the numerical characteristics of regression parameters estimation and the correlation coefficients of the regression equation are derived.Based on the experimental data of triaxial compression tests,the calculated results are more realistic and reasonable compared with the linear regression method. KEY WORDS random-fuzzy linear regression model;parameters estimation;numerical characteristic (上接第303页) Preparation of SiCp/Al Electronic Packaging Composite Preforms PING Yanlei,JIA Chengchang,OU Xuanhui,LI Zhigang Materials Science and Engineering School,University of Science and Technology Beijing.Beijing 100083,China ABSTRACT SiCp and binder were mixed together and SiCp preforms were prepared by warm pressing,thermal debinding and pre-sintering.The relations of the performances such as size variation,porosity and strength of the performs with process parameters were investigated.The microstructure of the performs was observed by SEM.The results show that SiCp preforms with suitable strength and porosity for preparing SiCp/Al composites can be obta- ined by controlling effectively the process parameters such as compaction,debinding and pre-sintering. KEY WORDS SiCp/Al composite;preform;porosity;strength;linear expansion ratioV心1 . 2 6 N o . 3 张志 刚等 : 随机 一 模 糊线 性 回 归模 型 的参数 估 计及 应用 一 3 2 9 . 4 中 国统计 出版 社 , 1 9 90 彭长清 . 误差 与 回归 [M ] . 北京 : 兵器 工 业 出版社 , 19 9 1 穆 德 A M , 格 雷 比 尔 F A . 统计 学导 论! M ] . 史 定华译 . 北 京 : 科 学 出版 社 , 19 7 8 5 李 安贵 , 张志 宏 , 段 凤 英 . 模 糊数 学及 其应 用 [M ] . 北 京 : 冶 金 工业 出版 社 , 1 9 4 R e g r e s s i o n P ar a m e t e r s E s t im a ti o n o f R an d o m 一 F uz z y L i n e a r R e g r e s s i o n M o d e l a n d i t s A P P li c a t i o n Z任刁N G hZ iga gn , ’ , 洲N G P en 梦 , IL A n gu il ’ , CA I Me 沙心 , , 2了侧 万G oH n 舒i心 , l ) A P li e d S e i e n e e S c h o o l , U n i v e r s ity o f s e i e n e e an d eT e hn o l o gy B e ij i n g , B e ij i n g l 00 0 83 , C h i n a 2) C i v i l an d E n v i r o nm e n fa l E n g i n e e r in g S e h o o l , nU i v e r s ity o f s e i e n e e an d eT c hn o l o gy B e ij in g , B e ij i n g l 0 0 0 8 3 , C h i n a 3) S h l q Ll a n h u eR s e vr o ir , utJ na 2 7 66 00 , C h ian A B S T R A C T hT e r e gr e s s i o n P arm e t e r s e s t im at i o n e x P r s s i o n s o f a r an d o m而 z z y l in e ar r e g r e s s i o n m o d e l ar e d e - d u e e d . It 1 5 P r o v e d t h at ht e y ar e an un b i a s e d e s t i m at o L hT e of rm u l a e of r e a l e u lat i n g ht e n u r o e ir e a l e h ar ac t e ir s t i c s o f re gr e s s i o n P ar am e t e r s e s t im at i o n an d ht e e o r e lat i o n e o e if e i e nt s o f t h e r e gr e s s i o n e q u at i o n ar e d e ir v e d . B a s e d o n ht e e xP e ir m e n t a l d at a o f itr ax i a l c o m P r e s s i o n t e s t s , ht e e a l e u lat e d r e s u l t s ar e m o r e r e a li s t i c an d r e a s o n ab l e e o m P ar e d w i th ht e li n e ar r e gr e s s i o n m e ht o d . K E Y W O R D S anr d o m 一允z yZ li n e ar er gr e s s i o n m o d e l: P a r a l n e t e r s e s tim a t i o n ; n um e ir e a l e h ar a e t e ir s t i e (上接第 3 0 3 页) P r e P a r a t i o n o f S IC PA/ 1 E l e e tr o n i e P a c k a g i n g C o m P o s i t e P r e fo mr s 尸Z刃(子aY n le i, I IL 咬 hC en gc ha gn, Q U Xu an hu 毛 IL hZ gal gn M at e r i a l s S e i e n e e an d E n gin e e ir n g S e h o o l , U n i v e rs ity o f s e i e n e e an d eT e hn o l o群 B e ij in g , B e ij ing l 0 0 0 8 3 , C h i n a A B S T R A C T S IC p a n d b i n d e r w e r e m i x e d t o g e ht e r an d S IC P P r e of rm s w e r e P r e par e d b y w arm p r e s s i n g , ht e mr a l d eb in d in g an d rP e 一 s int e ir n g . hT e r e l iat ons o f ht e P e r fo mr an e e s su e h a s s i z e v 如at i on , P or o s iyt an d str e n g ht o f ht e P e r fo mr s w iht P r o e e s s P ar am e t e r s w e r e i n v e s ti g at e d . hT e m i e r o s trU e trU e o f th e P e r fo mr s w a s o b s e vr e d b y S E M . hT e r e s u lt s s h o w ht at S IC P P r e fo mr s w iht s u i t a b l e s tr e n g t h an d P o r o s iyt fo r P r e P iar n g S IC PA/ 1 e o m P o s i t e s e an b e o b t a - in e d by e o ntr o l lin g e fe e it v e ly ht e rP o e e s s P ar am et e r s s u e h a s e o m P a ct i on , d e b i n di n g an d rP e 一 s int e ir n g · K E Y W O R D S S IC P /A I e o m P o s i t e : P r e fo mr : P o r o s i yt : s tr e n ght ; li n e ar e x P an s i o n r a ti o
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