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Chapter 01 확률 ⋅1
1.1 사건 ·································································································· 3 1.2 확률 ································································································ 11 1.3 조건부 확률 ··················································································· 22 Chapter 02 확률변수 ⋅39 2.1 이산확률변수 ················································································· 41 2.2 연속확률변수 ················································································· 53 2.3 기댓값 ···························································································· 61 Chapter 03 결합확률분포 ⋅79 3.1 결합확률분포 ················································································· 81 3.2 조건부 확률분포 ··········································································· 97 3.3 결합분포에 대한 기댓값 ···························································· 114 Chapter 04 이산확률분포 ⋅125 4.1 이산균등분포 ············································································· 127 4.2 초기하분포 ··················································································· 130 4.3 이항분포 ······················································································ 138 4.4 기하분포와 음이항분포 ······························································ 150 4.5 푸아송분포 ··················································································· 159 4.6 다항분포 ······················································································ 168 Chapter 05 연속확률분포 ⋅171 5.1 균등분포 ······················································································ 173 5.2 지수분포와 감마분포 ·································································· 177 5.3 정규분포 ······················································································ 187 5.4 정규분포에 관련된 연속분포들 ················································· 205 Chapter 06 기술통계학 ⋅221 6.1 기술통계학 ··················································································· 223 6.2 자료의 정리 ················································································· 225 6.3 위치척도 ······················································································ 243 6.4 산포의 척도 ················································································· 253 Chapter 07 표본분포 ⋅263 7.1 모집단 분포와 표본분포 ···························································· 265 7.2 표본평균의 분포 ········································································· 268 7.3 정규모집단에 관련된 분포 ························································· 281 7.4 표본비율의 분포 ········································································· 290 Chapter 08 추정 ⋅295 8.1 점추정과 구간추정 ······································································ 297 8.2 모평균의 구간추정 ······································································ 308 8.3 모비율과 모분산의 구간추정 ····················································· 325 8.4 표본의 크기 ················································································· 336 Chapter 09 가설검정 ⋅345 9.1 가설검정 ······················································································ 347 9.2 모평균의 검정 ············································································· 353 9.3 모비율의 검정 ············································································· 381 9.4 ??-검정과 모분산의 검정 ························································· 391 Chapter 10 단순회귀분석 ⋅407 10.1 단순선형회귀분석 ····································································· 409 10.2 추정회귀직선 ············································································· 412 10.3 회귀계수의 구간추정 ································································ 427 10.4 회귀계수의 가설검정 ································································ 436 ‣ Appendix A 통계학을 위한 기초수학 ············································ 447 ‣ Appendix B 확률분포표 ································································ 491 ‣ Appendix C 연습문제 풀이 ··························································· 513 ‣ 찾아보기 ··························································································· 671
2007년 초판이 발간된 이후 많은 교수님들과 학생들의 애정으로 4판을 출간하게 되어 감사드
린다. 그동안 본 도서는 공학계열과 자연계열 및 의약계열 학생들에게 많은 사랑을 받아 왔으 며, 금융과 보험을 비롯한 사회과학 학생들도 애용하고 있다. 3판에 이어 학생 중심의 생각에서 집필하고 학생이 가질 수 있는 의문점을 스스로 해결할 수 있는 능력을 함양하는 데 주안점을 두었다. 그동안 회귀분석에 대한 내용을 추가하는 것을 고민해 오던 차에, 본 도서를 사랑해주 시는 독자들로부터 ‘단순회귀분석’에 대한 요구가 있어 교재의 양에 대한 부담에도 이 내용을 추가하였고, 학생들이 실생활에서 접할 수 있는 보다 더 실용적인 내용을 담고자 공학과 사회 과학에 필수적인 내용의 예제들로 보강하였다. 본 도서를 집필하는 기본 방향은 수학적 기초가 부족한 학생을 위한다는 것이 첫째이고, 그 학생들의 통계학적 사고력을 함양시킨다는 것이 두 번째이다. 이와 같은 기본 방향 아래 한 학기용 통계학에서 필수적이고 기본이 되는 내용으로 구성하였다. 이 책은 크게 확률과 확률분포, 기술통계학 그리고 통계적 추론의 세 영역으로 이루어져 있다. 많은 통계학 교재들 이 “왜, 이렇게 되는가?”, “이 문제를 해결하기 위해 어떻게 해야 하는가?”라는 의문보다 공식 이라는 틀에 짜 맞추다 보니, 학생들이 이해하거나 문제를 해결하는 데 많은 혼란을 겪거나 적용의 어려움을 가진다. 이에 본 도서는 수학적인 내용이 필요한 경우에는 그 전개과정을 상세히 설명하였으며, 서로 다른 상황에 적용되는 문제의 유형을 분류하여 학생들이 쉽게 이해하고 특히 통계학적 사고력과 적용능력을 함양하도록 집필되었다. 이재원 금오공과대학교 응용수학과 교수
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