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Suppose that X1,X2,...,Xn are i.i.d random variables on the interval [0,1] with density function: F(x|alpha) = [gamme(2alpha)/[gamma(alpha)]^2] * [x(1-x)]^(alpha -1) where alpha > 0 is a parameter to be estimated from the sample. It can be shown that E[X] = 1/2 and Var[X] = 1/ [4(2alpha+1)] a. How does the shape of the density depend on alpha? b. How can the method of moments be used to estimate alpha?c. What equation does the m.l.e. of alpha satisfy? d. What is the asymptotic variance of the m.l.e.?
people were polled on how many books they read the previous year. how many subjects are needed to estimate the number
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
use eulers method to calculate the first three approximations to the given initial value problemuse eulers method to
A poll is planned to determine what proportion of all students favor an increase in fees to support a new track and field stadium. A questionnaire will be published and the first 1000 completed questionnaires will be analyzed. Which of the followi..
Given the explicit solution from part (a), what is the largest possible t-interval on which the explicit solution makes sense?
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
Write an algebraic expression to answer the question below.
The consultant who advised the city on this project predicted the parking revues would average $130 per day. Based on your confidence interval, do you think the consultant was correct? Why?
If 3 J of work are needed to stretch a spring from 12 cm to 14 cm and 5 J are needed to stretch it from 14 cm to 16 cm, what is the natural length of the spring?
calculate the number of bridge hands which contain the followingrecall that a bridge hand consists of 13 cards taken
Calculate the percentage of students who score between 550 and 650.
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