Example 3 solution Exercise 3 3 3 Exercise 4 Exercise 5 Yes, Ybar and sum(Yi-Ybar)^2 are independent because Ybar is independent of the vector of…
Statistics 100B Department of Statistics Order statistics – derivations Instructor: Nicolas Christou − (n − k)FX(x)k[1 − FX(x)]n−k−1fX(x) (last term is zero when k…
University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou Continuous probability distributions • Let X be a continuous random variable, −∞…
SYLLABUS FOR STATISTICS 100B – LECTURE 1 INTRODUCTION TO MATHEMATICAL STATISTICS WINTER QUARTER 2021 Instructor: Nicolas Christou Office: 8931 Math Sciences Bldg. Telephone: (310) 206-4420…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou Practice 2 EXERCISE 1 Part A: It is claimed that the histogram below shows…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou Order statistics Why order statistics? We may be interested in the fastest time in…
University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou Noncentral χ2 and noncentral F distributions Let Y1,Y2,…,Yn be i.i.d. random variables…
University of California, Los Angeles Department of Statistics Instructor: Nicolas Christou Quiz 8 Answer the following questions: a. Suppose X1, . . . , Xn…