Let 𝑌 , 𝑌 , ... . , 𝑌 12𝑛 constitute a random sample from the probability density functi
Posted: Wed May 11, 2022 9:45 pm
Let 𝑌 , 𝑌 , ... . , 𝑌 12𝑛
constitute a random sample from the probability density function given by
𝑓(𝑦|𝜃) {2y /𝜃 0<=y<= 𝜃
0≤𝑦≤𝜃 0 elsewhere
a. Find the Method of Moment Estimator (MME) for 𝜃.
b. Is the MME you found in a) sufficient for 𝜃 ?. Justify your answer using the factorization theorem.
constitute a random sample from the probability density function given by
𝑓(𝑦|𝜃) {2y /𝜃 0<=y<= 𝜃
0≤𝑦≤𝜃 0 elsewhere
a. Find the Method of Moment Estimator (MME) for 𝜃.
b. Is the MME you found in a) sufficient for 𝜃 ?. Justify your answer using the factorization theorem.