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《统计学-数理统计在统计学中的地位（The position of statistical mathematical statistics in Statistics）》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。
1、统计学-数理统计在统计学中的地位（ThepositionofstatisticalmathematicalstatisticsinStatistics）I.Themaincharacteristicsofmathematicalstatisticsandstatistics(1)themainfeaturesofmathematicalstatistics;Themathematicalstatisticsisbasedontherandomphenomenonlimitedincomeobservationsorexperimentaldatasummarized,fi
2、ndrulesofthelimiteddata,andthenumberofrulesbasedonthecorrespondingoverallphenomenonmakeasubjectinferenceorjudgment.Summarizedasfollows:first,randomness,thatistosay,theobjectofmathematicalstatisticsshouldbestochastic,deterministicphenomenonisnotthecontentofmathematicalstatistics.Twoislimit
3、ed,thatistosay,thenumberofrandomphenomenainmathematicalstatisticsislimitedbythenumberoftimes.Thethreeisquantitative,thatis,mathematicalstatisticstostudytherandomphenomenonofthenumberofregularitybased,andthequalityofrandomphenomenaforthesecondtime.Fouristheresearchmethodused,mainlyforinduc
4、tion.Finally,mathematicalstatisticshasacertainprobabilityreliabilitythroughthestudyofsmallsamplesinordertoachievetheoverallinference.Thattheoverallerrorsampleisanobjectiveexistence,butstatisticsnotonlyfocusonthesizeoftheerror,theerrorpossibilityalsopointedout.Accordingtothecharacteristics
5、ofmathematicalstatistics,mathematicalstatisticsisoneofthemostimportantandactivesubjectsinappliedmathematics.Thus!Statisticsfromthedisciplinedivision,shouldbelongtomathematics,butitfocusesonapplication!Insteadofpuremathematicaltheoryormethodofresearch,themethodsusedarefocusingoninduction,r
6、atherthanmathematicaldeduction.Insummary,themaincharacteristicsofmathematicalstatisticscanbesummarizedinonesentence,mathematicalstatisticsisalimitednumberofobservationsorexperimentsanumberofresearchresultsofrandomphenomena,accordingtothenumberofgeneralrulesmaketheappliedmathematicshascert
7、ainreliabilityinference.(two)themaincharacteristicsofStatisticsStatisticsisamethodologyscienceofcollecting,arrangingandanalyzingstatisticaldata.Thepurposeofstatisticsistoexploretheinternalquantityandregularityofdatasoastoachievescientificunderstandingofobjectivethin
