Approximate standard error of maximum likelihood estimate

Assignment Help Basic Statistics

Reference no: EM13117441

Suppose that X is a discrete random variable with

P(X = 0) = 2/3µ
P(X= 1) = 1/3µ
P(X= 2) = 2/3(1 - µ)
P(X= 3) = 1/3(1 - µ)

where 0 <= μ <= 1 is a parameter. Thefollowing 10 independent observations were taken from such adistribution: (3,0,2,1,3,2,1,0,2,1).

(a) Find the method of moments estimate of μ
(b) Find an approximate standart error for your estimate.
(c) What is the maximum likelihood estimate of μ?
(d) What is an approximate standard error of the maximum likelihood estimate?

Reference no: EM13117441

Questions Cloud

Illustrate what angular speed is needed : Illustrate w hat angular speed (in revolutions per minute) is needed for a centrifuge to produce an acceleration of 720 times the gravitational acceleration 9.8 m/s2 at a radius of 9.95 cm ?

Explain how a new technology system should be implemented : Explain how a new technology system should be implemented and/or introduced to a company. Include your recommendations as if you were the manager in charge of implementing the new technology

Management decisions-production scheduling and financing : Solve the system of linear equations, using the Gauss-Jordan elimination method. Management Decisions. The Management of Hartman Rent-A-Car has allocated $1,008,000 to purchase 60 new automobiles to add to their existing fleet of rental cars.

Explain how far up the ladder can man climb : The coefficient of friction between the ladder and ground is 0.6 and the ladder makes an angle, theta with the ground equal to 50 degrees. Explain how far up the ladder can an 800N man climb before the ladder begins to slip?

Approximate standard error of maximum likelihood estimate : What is the maximum likelihood estimate of μ? What is an approximate standard error of the maximum likelihood estimate?

What will sample''s volume be : The volume of a 24.0g sample of methane gas is 22.8L at 40.0*C and 4.00atm. What will it's volume be at 68.0*C and 4.00atm.

Questions regarding quadratic formula : A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?

Illustrate what is the tangential acceleration of a bug : It eventually launches horizontally off of the table and takes the path of a projectile until it hits the ground 40 centimeters from the edge of the table.

Calculate the p-value and use it to test hypothesis : Calculate the p- value and use it to test H0 versus H a at each of a .10, .05, .01, and .001. d How much evidence is there that the mean composite satisfaction rating exceeds 42?

User Account

All Pages