Order Statistics
B.Sc. III Semester- VI Statistics –XIII Probability Theory and Applications Unit 1: Order Statistics and Convergence 1.1 Order Statistics Let X 1 , X 2 , X 3 , …..,X n be a random sample of size n from a continuous distribution with p. d. f. f(x) and c .d. f. F(x). Let, X (1) = min { X 1 , X 2 , X 3 , ….., X n } X (2) = 2 nd min { X 1 , X 2 , X 3 , ….., X n } X (3) = 3 rd min { X 1 , X 2 , X 3 , ….., X n } ….. ...