뗚34뻭뗚1웚붭몺듳톧톧놨(ퟔ좻뿆톧냦)쓪3퓂JournalofJianghanUniversity(NaturalSciences)Mar.,2006솽헽첬ퟜ쳥랽닮뇈뗄폅뮯훃탅쟸볤쟘ퟦ웴,역샲,쿠훐웴(뮪훐쪦랶듳톧쫽톧폫춳볆톧톧풺ꎬ뫾놱커몺430079)햪튪ꎺ폃뒫춳랽램뗃떽뗄솽헽첬럖늼랽닮뇈뗄훃탅쟸볤쿔좻늻쫇ퟮ뛌뗄ꎬ틲뛸뻍듋틢틥뛸퇔튲늻쫇ퟮ병뗄ꎮ놾컄뗃떽폅뮯뫳뗄훃탅쟸볤ꎬ늢붫쯼폫뒫춳뗄훃탅쟸볤뇈뷏.뷡맻뇭쏷ꎺ폅뮯뫳뗄ퟮ뛌훃탅쟸볤뇈풭훃탅쟸볤폐뷏쏷쿔뗄룄뷸ꎮ맘볼듊ꎺ훃탅쟸볤ꎻ랽닮뇈ꎻF럖늼훐춼럖샠뫅ꎺ컄쿗뇪쪶싫ꎺA컄헂뇠뫅ꎺ1673-0143200601-0018-021컊쳢뗄쳡돶틑횪뛔폚룸뚨뗄훃탅뛈1ꎬ폃춨뎣뗄뷌뿆쫩짏뷩짜뗄랽램뿉쟳뗃221/2뗄훃탅쟸볤캪뛔ퟜ쳥닎쫽뷸탐쟸볤맀볆쫇춳볆톧훐믹놾뛸2222s1/s2s1/s2F,(폖훘튪뗄랽램ꎬ쯼퓚뺭볃폫짺닺쪵볹훐폐ퟅ맣랺1n11,n21F,1)n11,n2122뗄펦폃헢샯2s뇭쪾퇹놾랽닮.헢퇹ꎬ떱퇹놾맛닢횵.퓚만뚨뗄훃탅뛈쿂ꎬ튻냣죏캪훃탅쟸볤풽뛌풽뫃ꎬ뛔솽헽첬ퟜ쳥랽닮뇈뷸탐쟸볤맀볆뗄뗃떽뫳ꎬ훃탅쟸볤뎤뛈캪뒫춳랽램쿔좻늻쓜쪹쯹뗃쟸볤듯떽ퟮ뛌ꎬ맊뛸늻2L=s1112,s2Fn211,n21F1n211,n21쫇ퟮ폅뗄ꎬ틲캪컒쏇쪹폃뗄춳볆솿2웤훐좡내룅싊뛔돆뗄짏ꆢ쿂럖캻뗣쫇캪쇋랽F=1/n1222/n2럾듓F럖늼ꎬ뛸헢룶럖늼뗄쏜뛈몯쫽맘폚쯼뗄럥뇣닙ퟷꎮ평컄[1]훐뗄뚨샭뿉횪ꎬ쯼쫇쮮욽뗄횵쫇벫늻뛔돆뗄.F럖늼쏜뛈몯쫽쟺쿟뗄욫틐돌튻훂ퟮ뺫좷뗄컞욫훃탅쟸볤(벴UMAU쟸볤)ꎬ떫뛈쯦ퟅ뗚뛾닎쫽n2뗄퓶듳뛸복킡ꎬ떫쫇평쫇쯼퓚튻쟐훃탅쮮욽캪뗄훃탅쟸볤훐뗄욽뻹뎤뛈쫇럱듯떽ퟮ킡횵쓘ꎿ듰낸튻냣쫇럱뚨뗄ꎮ뎤뛈fx;n21,nL12xnnn2ꇺ11ퟮ뛌뗄훃탅쟸볤펦룃쫇2222s1/s2s1/s2,ꎬ웤훐c1,뿉횪ꎬ벴쪹퓚ퟔ평뛈c2c1n2ꇺ쪱ꎬF럖늼뗄벫쿞럖늼뗄쏜뛈몯쫽쟺쿟죔좻늻뛔돆c2평쿂쏦뗄뚨샭쯹좷뚨ꎮ1ꎬ듋쪱평뒫춳랽램뗃떽뗄훃탅쟸볤쯤좻폐쯹룄짆ꎬ떫죔좻늻쫇ퟮ뚨샭짨솽ퟜ쳥쿠뮥뛀솢쟒럖뇰럾듓헽첬럖뛌뗄늼N21,1뫍N22,2ꎬ웤훐뗄닎쫽뻹캴횪,뷱2,3ꎮ맊퓚튻냣쟩탎쿂퇐뺿랽닮뇈뗄ퟮ폅훃탅쟸볤쿔뗃폈캪뇘튪ꎮ틀듎듓헢솽룶ퟜ쳥훐좡죝솿캪n1뫍n2뗄솽룶뛀솢퇹놾X1ꎬX2,ꆭꎬXn뫍Y11ꎬY2,ꆭꎬYn,볇퇹놾랽22ퟮ폅훃탅쟸볤뗄췆쟳닮럖뇰캪22s1뫍2s2ꎮ퓲솽ퟜ쳥랽닮뇈21/2뗄1튻냣뗘ꎬ퓚n1>2ꎬn2>0쪱ꎬF럖늼뗄룅싊쏜뗄ퟮ뛌훃탅쟸볤캪2222s1/s2s1/s2,ꎬ웤훐c1,c2평c2c1뛈쫇cn1+11cn1+1n22=221+n11cn1+n1n21+n11cn1+n222n1+n2n12n1n12x2(2)n2fx;n1,n2=n1n221nn,x>+n22틔벰22n22+n1x쫕룥죕웚ꎺ2005ꎭ12ꎭ27믹뷰쿮쒿ꎺ맺볒ퟔ좻뿆톧믹뷰훺쿮쒿(10571070)ퟷ헟볲뷩ꎺ쟘ퟦ웴(1978)ꎬ쓐ꎬ뫾놱믆룔죋ꎬ쮶쪿퇐뺿짺ꎬ훷튪듓쫂쫽샭춳볆퇐뺿ꎮ
2006쓪뗚1웚쟘ퟦ웴뗈ꎺ솽헽첬ퟜ쳥랽닮뇈뗄폅뮯훃탅쟸볤19Fc2;n11,n21Fc1;n11,n21=1뻹캴횪,뷱틀듎좡죝솿캪25ꆢ15뗄솽룶뛀솢퇹(3)놾ꎬ볆쯣뗃떽퇹놾랽닮틀듎캪2s1=ꎬ2s2=ꎮ쯹캩튻좷뚨ꎮ쫔쟳솽ퟜ쳥랽닮뇈221/2뗄뗄훃탅쟸볤2ꎮ횤쏷닉폃Lagrange돋쫽램.쇮뷢ꎺ랽램튻ꎺ컄[2]내뒫춳랽램평ꎨ1ꎩ쪽11L=+Fc2;n11,n21뗃떽뗄훃탅쟸볤캪ꎨꎬꎩꎬ쟸볤뎤뛈캪ꎮc1c2랽램뛾ꎺ평놾컄럖컶횪ꎬꎨ1ꎩ쪽쯹뗃떽뗄쟸Fc1;n11,n211+ꎬ뛔L럖뇰쟳맘폚c1뫍c2뗄욫떼쫽늢쇮횮캪쇣볤춨뎣늻쫇ퟮ뛌뗄ꎬ뛸춨맽폅뮯뫳쓜뗃떽ퟮ뛌훃,뗃탅쟸볤.붫n1=25,n2=15듺죫ꎨ2ꎩ쪽뫍ꎨ3ꎩ쪽ꎬL=1c1;n11,n21=0c1c2f펦폃MATLAB죭볾훐뗄럇쿟탔맦뮮믲횱뷓펦폃1L=1=Excel훐PINV몯쫽쟳뷢,뿉뗃떽캩튻뗄뗣c1,c02c2c2+fc1;n11,n212쯹틔뿉뗃=(,),쯹틔ퟮ뛌훃탅쟸볤캪×,×ꎬ벴캪ꎨꎬꎩꎬ쟸볤뎤뛈캪ꎬ;n11,n21=c22fc2;n11,n21=,붫폅뮯뫳뗄훃탅쟸볤폫랽램튻훐뗄훃탅쟸볤뎤뛈횮fx;n11,n21뗄뚨틥듺죫짏쪽늢뮯볲,벴뗃떽ꎨ뇈캪ꎮ2ꎩ쪽ꎮ뾼싇몯쫽hx=xn1+14뷡폯n21+n11xn1+n22,x>0.쟳뷢h'x=0ꎬ뿉뗃돶hx뗄ퟮ듳횵뗣캪x컄[3]쳖싛쇋평2럖늼뫍럖늼릹퓬뗄훃0=n탅쟸볤뗄폅뮯컊쳢ꎬ떫쫇평폚헢킩럖늼뚼틔쏜뛈1+1n21.춬쪱뿉횪ꎬ떱x0,xn0쪱,hx11n23몯쫽쟺쿟뛔돆뗄헽첬럖늼캪벫쿞ꎬ쯹틔퓚퇹놾죝쫇퇏룱떥뗷뗝퓶뗄ꎻ떱xx0,+쪱,hx쫇퇏솿ퟣ릻듳쪱ꎬ평뒫춳랽램뗃떽뗄훃탅쟸볤뇭쿖틑룱떥뗷뗝복뗄.캪쪹ꎨ2ꎩ쪽폐쪵쫽뷢,쟒c1<c2ꎬ뺭ퟣ릻솼뫃.뛸놾컄퓚쳖싛훐짦벰떽뗄F럖늼벴튪쟳0<c1<x0ꎬ듋쪱평죎틢뗄c1뿉캩튻뗘뻶뚨폫쪹퓚듳퇹놾쪱뗄쏜뛈몯쫽쟺쿟죔좻늻쟷폚뛔돆ꎬ횮쿠뛔펦뗄c2ꎮ쯹틔벴쪹퓚듳퇹놾쟩탎쿂,놾컄뗄폅뮯훃탅쟸볤틗횪ꎬFx;n11,n21럖늼뗄쏜뛈몯쫽폫튲폐펦폃뗄뇘튪ꎮퟷ캪쳘샽ꎬ컒쏇뾼싇쇋벸훖폐hx폐샠쯆뗄탔훊ꎬ쯼뗄럥횵퓚x=n13n21n11n2+1듺뇭탔뗄ퟔ평뛈쿂폅뮯뫳뗄훃탅쟸볤폫뒫춳훃탅뒦듯떽ꎮ쇭췢ꎬ떱0<c1<x0쟒퓶볓쪱ꎬ평ꎨ2ꎩ쟸볤뎤뛈뇈횵뗄쟩뿶ꎬ퓚n11,n21럖뇰캪쪽좷뚨돶뛔펦뗄c2쿠펦복킡.튲뻍쫇쮵ꎬ헢쪱ꎨ10ꎬ10ꎩꆢꎨ20ꎬ20ꎩꆢꎨ30ꎬ30ꎩꆢꎨ40ꎬ40ꎩꆢꎨ60ꎬFc60ꎩ뫍ꎨ120ꎬ120ꎩ쪱ꎬ뛔펦뗄뇈횵틀듎캪ꆢ2;n11,n21Fc1;n11,n21캪떥뗷뗝복뗄ꎮ폖평F럖늼몯쫽뗄탔훊횪ꆢꆢꆢ뫍.평듋룼쮵쏷컒쏇뗄뷡싛뗄헽좷탔ꎮ쇭췢ꎬ본폚쟸볤맀볆뫍볙짨볬퇩limFc2;n11,n21Fc1;n11,n21=0,c1c0뗄솪쾵ꎬ컒쏇뮹뿉틔뛔랽닮뇈뗄쮫뇟볙짨볬퇩ퟷlimFc2;n11,n21Fc1;n11,n21=1,c10+돶쿠펦폅뮯ꎮ웤훐c2춨맽(2)쪽평c1뻶뚨,c0춬짏뚨틥.맊평훐횵뚨샭횪,듦퓚캩튻뗄c1=c010,c0,쪹뗃닎뾼컄쿗ꎺFc2;n11,n21Fc1;n11,n21=1[1]돂쾣죦.룟뗈쫽샭춳볆[M].뫏럊ꎺ훐맺뿆톧벼쫵듳톧돉솢ꎮ퓚ꎨ2ꎩ쪽훐,쇮c1=c01,뗃떽캩튻좷뚨뗄돶냦짧,1999.[2]c쯯죙뫣.쫽샭춳볆[M].훘쟬ꎺ훘쟬듳톧돶냦짧,=c02ꎬ퓲c01,c02벴쫇싺ퟣ쳵볾뗄캩튻뷢.뚨샭뗃횤ꎮ[3]붯뢣삤,쇵헽뒺.횸쫽럖늼닎쫽뗄ퟮ뛌쟸볤맀볆[J].쫽샭춳볆폫맜샭,2004,23(3):뻙샽[4]샮쿍욽.룅싊싛믹뒡[M].뗚2냦.놱뺩:룟뗈뷌폽돶냦짧,1997.짨솽헽첬ퟜ쳥N221,1뫍N2,2훐뗄닎쫽ꎨ쿂뗚26튳ꎩ
26붭몺듳톧톧놨ꎨퟔ좻뿆톧냦ꎩퟜ뗚34뻭훂킻낲뗧ퟓ뿆벼듳톧돶냦짧ꎬ2000.[3]맹쮶뫨.뗧뚯솦톧[M].뗚2냦.놱뺩ꎺ룟뗈뷌폽돶냦짧ꎬ룐킻뫾쓏쪡ퟔ좻뿆톧믹뷰ꎺ캢솣뛔듅쇷뇤탔훊뗄펰2001.쿬[4]키욽욽ꎬ싞뾪믹ꎬ뿶쟬잿.욽쏦뗧듅늨퓚솼떼쳥뇭쏦짏(뇠뫅03JJY6015)벰뢴뫏뷩훊뗄솦톧탔훊퇐뺿ꎨ뇠뫅뗄랴짤뫍춸짤[J].붭컷쪦랶듳톧톧놨ꎬ2004ꎬ28(1):ꎩ뛔놾컄뗄훺ꎮ[5]킻뒦랽ꎬ죄뿋뷷.뗧듅뎡폫뗧듅늨[M].뗚3냦.놱뺩ꎺ룟뗈뷌폽돶냦짧ꎬ2001.닎뾼컄쿗ꎺ[6]좫퓳쯉.뗧듅뎡폫뗧듅늨[M].돉뚼ꎺ쯄뒨뿆톧벼쫵돶[1]뷜뿋톷.뺭뗤뗧뚯솦톧[M].놱뺩ꎺ죋쏱뷌폽돶냦짧ꎬ1978.냦짧ꎬ1992.[2]췵볒샱ꎬ훬싺ퟹꎬ슷뫪쏴.뗧듅뎡폫뗧듅늨[M].컷낲ꎺ컷StudyofObliqueIncidenceofaUniformPlaneElectromagneticWaveonSurfaceofGoodConductorWANGXiao-yun,DENGKe,YANLin,TIANWei(CollegeofPhysicalScienceandInformationEngineeringꎬJishouUniversity,Jishou416000,Hunan,China)AbstractꎺBasingonthereflectanceandtransmissioncoefficientofauniformplaneelectro-magneticwavewithanarbitraryincidentangleonthesurfaceoftwouniformmedium,thephase-shift,expressionoffieldsandcoefficientsofreflectionandtransmissionwaveofgoodconductoraregivenrespectivelyꎬtheparticularityofthereflectionfactors,ꎺauniformplaneelectromagneticwaveꎻreflectionꎻtransmissionꎻphaseshiftꎨ짏뷓뗚19튳ꎩBestConfidenceIntervalofRatioofTwoNormalRandomVariablesQINZu-qiꎬPENGLiꎬXIANGZhong-qi(SchoolofMathematicsandStatistics,CentralChinaNormalUniversity,Wuhan430079,China)AbstractꎺThetraditionalmethodtheconfidenceintervalisnottheshortest,,:confidenceinterval;ratiovariance;Fdistribution
