Question

Let X,...Xn be a random sample from the density f_x(x) = 1+θX^θ, 0<x<1

a) Use the Neymar-Pearson lemma to determine the best critical region for testing Ho: θ-θ_o against H₁ θ-θ₁ > θ_o

Answer 1

OLM<] hef f(,0) = (1+0) a wex, o )= (1+0) "1877 ( ) - Lux, Lex,00) dex) = 41400 - 6+0,*T*). - (+9) (2,6,%. BC) (140, 5" (T1 ~;) % (+)? here o, >% =) 9, 6620 in ^cx) >k Tine 6 - The best critical region c:{x 1 x >c}