Robert Vincent Hogg, Joseph Walter McKean, Allen Thornton Craig. Introduction to Mathematical Statistics, 8th edition (Pearson, 2018)

Chapter 3. Some Special Distributions 제3장. 몇몇 특수한 분포

Section 4. The Normal Distributions 제4절. 정규분포

예제(Exercise) 20 및 해설(Solution)

Let Y have a truncated distribution with pdf g(y) = φ(y)/[1 - Φ(a)], for y > a, zero elsewhere, where φ(x) and Φ(x) are, respectively, the pdf and distribution function of a standard normal distribution. Show then that E(Y) is equal to φ(a)/[1 - Φ(a)].


7ef38468b78276ac7eb8f68b12d21a1d6c94f07de91f


쉽네요



제1장 확률과 분포 https://gall.dcinside.com/mathematics/427136

제2장 다변량 분포 https://gall.dcinside.com/mathematics/410910

제3장 제1절 이항 분포 및 그와 관련된 분포들 https://gall.dcinside.com/mathematics/411704

제3장 제2절 푸아송 분포 https://gall.dcinside.com/mathematics/413374

제3장 제3절 감마, 카이제곱, 베타 분포 https://gall.dcinside.com/mathematics/426888