Linear discriminant analysis is a generalization of Fisher's linear discriminant Fisher information, see also scoring algorithm also known as Fisher's scoring, and Minimum Fisher information, a variational principle which, when applied with the proper constraints needed to reproduce empirically known expectation values, determines the best probability distribution that characterizes the system.B. R. Frieden, Science from Fisher Information, Cambridge University Press, Cambridge, England, 2004. F-distribution, arises frequently as the null distribution of a test statistic, most notably in the analysis of variance Fisher–Tippett–Gnedenko theorem: Fisher's contribution to this was made in 1927 Fisher–Tippett distribution Fisher–Yates shuffle algorithm Von Mises–Fisher distribution Inverse probability, a term Fisher used in 1922, referring to "the fundamental paradox of inverse probability" as the source of the confusion between statistical terms which refer to the true value to be estimated, with the actual value arrived at by estimation, which is subject to error. Fisher's permutation test Fisher's inequality Sufficient statistic, when a statistic is sufficient with respect to a statistical model and its associated unknown parameter if "no other statistic that can be calculated from the same sample provides any additional information as to the value of the parameter". Fisher's noncentral hypergeometric distribution, a generalization of the hypergeometric distribution, where sampling probabilities are modified by weight factors. Student's t-distribution, widely used in statistics.. The concept of an ancillary statistic and the notion (the ancillarity principle) that one should condition on ancillary statistics.
liNeAr dISCRIminanT Analysis is a generAlizatiOn of Fisher's LiNeAr DiScriminant fishEr iNforMaTioN see also SCoRinG AlGORithm alSo knOwn aS fishEr's sCorinG aNd mInImUm fiShEr infORmatIon a variaTIONal prInciplE whiCh whEn APplied wItH The propeR constrAINTs needed to rEprOduce emPiRicAllY KNown eXPeCtation vAlues deTermiNes The bEST prObabiliTy dIsTriBuTiON that chAracTeRIzEs the SystEMb R frieden SciEnCE from fisHer infOrmaTiOn camBrIdgE uniVERsIty presS camBriDGe eNglAnd 2004 f-DistribuTiON arisEs fREquentLy As tHE NUll disTRibuTIOn of a test statisTiC mOst nOtabLy in tHe aNaLYsIs of varIaNCe fISher–tiPPEtt–gnedenKo tHeoreM FIsher's contRiBUTioN to thiS was madE iN 1927 FishEr–TiPpeTt disTributIon fisHer–yAtes shufflE algOriTHm von MisEs–fisHeR dIstRibuTiOn INVersE prObaBILity a term fiSher useD in 1922 refErRing to "the fundaMEntal parAdox oF iNverse pRoBAbility" aS tHe sOUrcE of The COnfuSiOn BEtweeN StaTiStical terms WHIch refeR to The True value To be estiMAted WiTh tHE AcTUal value aRRiVed At by estimaTIon Which Is subJeCT to erRor fisher'S perMutAtion test fishEr's inequAliTy sUFFIciENt statiStic wHeN A stATistic Is sufficIent WIth reSPect to a sTatistical mOdel and itS asSOCiATed uNKNOwn parAmeteR If "no oThEr sTATistic tHaT can BE cAlcUlAtED fRom thE same samPle proVideS aNy AddITIOnaL infoRmatIOn as to the VALUe of thE PaRaMETer" FisheR'S NONcentrAl hYPErgeomeTRIC distRibuTioN A geNErAlization of the hypergeOMEtric DIstRiBution WheRE samPlinG ProBAbIlITIES ARe mODifIEd by wEight facTors Student's t-DistRibutioN wIdeLy used In StatIStICs thE cOncept of an ancillARy sTAtistiC anD thE NotiON (the ancIllarIty pRInciple) That ONe shoULd CONdiTion On ancillary statistICS