이공계용 확률과 통계 (6 판)

SheldonM.Ross지음,고민삼외옮김

Dr.SheldonM.RossisaprofessorintheDepartmentofIndustrialandSystemsEngineeringattheUniversityofSouthernCalifornia.HereceivedhisPhDinstatisticsatStanfordUniversityin1968.Hehaspublishedmanytechnicalarticlesandtextbooksintheareasofstatisticsandappliedprobability.AmonghistextsareAFirstCourseinProbability,IntroductiontoProbabilityModels,StochasticProcesses,andIntroductoryStatistics.ProfessorRossisthefoundingandcontinuingeditorofthejournalProbabilityintheEngineeringandInformationalSciences.HeisaFellowoftheInstituteofMathematicalStatistics,aFellowofINFORMS,andarecipientoftheHumboldtUSSeniorScientistAward.

ㆍ저자서문/iii

제1장통계학개요································································································1
1.1·개요·············································································································1
1.2·데이터수집과기술통계학········································································1
1.3·추론통계학과확률모형··············································································2
1.4·모집단과표본····························································································3
1.5·통계학의역사····························································································3
연습문제·········································································································8

제2장기술통계학·······························································································11
2.1·서론···········································································································11
2.2·데이터집합의기술·················································································12
2.2.1·빈도표와빈도그래프·······································································12
2.2.2·상대빈도표와상대빈도그래프························································14
2.2.3,,,-·그룹데이터히스토그램누적빈도그래프줄기잎도표··············16
2.3·데이터집합에대한요약········································································19
2.3.1,,·표본평균표본중앙값표본최빈값·····················································20
2.3.2·표본분산과표본표준편차····································································24
2.3.3·표본백분위수와상자도표··································································26
2.4·체비셰프부등식·······················································································29
2.5·정규데이터집합·····················································································33
2.6·쌍체데이터집합과표본상관계수·························································36
2.7·로렌츠곡선과지니지수········································································43
2.8R·사용하기·······························································································49
연습문제·······································································································53

제3장확률론······································································································65
3.1·개요···········································································································65
3.2·표본공간과사건·······················································································66
3.3·벤다이어그램과사건들에대한대수법칙··········································68
3.4·확률에대한공리·····················································································69
3.5·균등확률결과들로이루어지는표본공간············································72
3.6·조건부확률······························································································77
3.7·베이즈공식······························································································81
3.8·독립사건····································································································88
연습문제·······································································································92

제4장확률변수와기댓값·················································································103
4.1·확률변수································································································103
4.2·확률변수의유형····················································································106
4.3·결합분포를따르는확률변수································································109
4.3.1·서로독립인확률변수·······································································115
4.3.2·조건부분포·······················································································118
4.4·기댓값·····································································································121
4.5·기댓값의성질························································································125
4.5.1·확률변수의합에대한기댓값··························································128
4.6·분산·········································································································132
4.7·공분산과확률변수의합에대한분산·················································137
4.8·적률생성함수··························································································142
4.9·체비셰프부등식과대수의약법칙·······················································143
연습문제·····································································································147

제5장확률변수와분포····················································································159
5.1·베르누이확률변수와이항확률변수···················································159
5.1.1R·을이용한이항분포함수의계산··················································165
5.2·푸아송확률변수························