Let y 1 , y 2 , . . . , y n be a random sample
Question:
Let y1, y2, . . . , yn be a random sample of n observations on a random variable Y, where f(y) is a gamma density function with α = 2 and unknown β:
a. Find the maximum likelihood estimator of β.
b. Find E(β̂ ) and V(β̂ ).
Transcribed Image Text:
Ve /B if y >0 Ay) = B? otherwise
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 45% (11 reviews)
a To find the maximum likelihood estimator of we need to find the value of that maximizes the likeli...View the full answer
Answered By
Morris Maina
I am a professional teaching in different Colleges and university to solved the Assignments and Project . I am Working more then 3 year Online Teaching in Zoom Meet etc. I will provide you the best answer of your Assignments and Project.
0.00
0 Reviews
10+ Question Solved
Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
Question Posted:
Students also viewed these Engineering questions
-
Let X1, X2, X3 be a random sample of size n = 3 from an exponential distribution with mean > 0. Reject the simple null hypothesis H0: = 2, and accept the composite alternative hypothesis H1: < 2,...
-
Let X1, X2, X3 be a random sample of size n = 3 from the exponential distribution with pdf f(x) = ex, 0 < x < . Find P(1 < min Xi) = P(1 < X1, 1 < X2, 1 < X3)
-
Let X1 and X2 be a random sample of size n = 2 from a distribution with pdf f(x) = 6x(1 x), 0 < x < 1. Find the mean and the variance of Y = X1 + X2.
-
Bryce owns 200 shares of Basic Company stock that he purchased for $8,000 three years ago. On December 28, 2021, Bryce sold 100 shares of the stock for $2,500. On January 3, 2022, Bryce repurchased...
-
Why have companies like Volvo, Cadillac, and General Motors increased their use of infomercials? Is this a wise strategy?
-
Refer to Data Set 1 in Appendix B and use the red blood cell counts (million cells/L) for males. Begin with a lower class limit of 4.00 and use a class width of 0.40. Using a very loose...
-
Estimate the overall odds ratio of the set of tables in Problem3.6 and test whether the odds ratios are the same across the tables. Problem3.6 is: 3.6 Use the DOS data to test whether there is gender...
-
Context-sensitive nature of cost behavior classifications Susan Hicks operates a sales booth in computer software trade shows, selling an accounting software package, Dollar System. She purchases the...
-
A 22-year-old college football player sustains a rough hit on the field during a practice for their biggest game of the season in 2 days. The player was knocked to the ground after a collision with...
-
On Monday, a certain stock closed at $10 per share. On Tuesday, you expect the stock to close at $9, $10, or $11 per share, with respective probabilities 0.3, 0.3, and 0.4. On Wednesday, you expect...
-
Refer to Exercise 7.10. a. Find the moment estimator of . b. Find E( ) and V( ). Data from Exercise 7.10 Let y 1 , y 2 , . . . , y n be a random sample of n observations on a random variable Y, where...
-
Let y 1 , y 2 , . . . , y n be a random sample of n observations from a Poisson distribution with probability function a. Find the maximum likelihood estimator of . b. Is the maximum likelihood...
-
Evaluate the expression. -225
-
1. Show that for sinx+cos x dx = /2 sin x T 2. The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan will convert any rational function of sin x and cos x into...
-
What would the acceleration of the astro- naut be due to the Earth's gravity at this point if the moon was not there? The value of the universal gravitational constant is 6.672 10- Nm/kg. Answer in...
-
Bluetooth - Define Bluetooth and discuss different types of Bluetooth products. - Describe Bluetooth 5. Highlight implementations of Bluetooth 5 and improvements over earlier generations. - Examine...
-
A ball is thrown straight upward and falls back to the same height. A student makes this graph of the velocity of the ball as a function of time. What, if anything, is wrong with the student's graph?...
-
Use the data for ATT to calculate the latest values of the: Bollinger Bandsand Stochastic Oscillator. (x-mean)^2 is 614.712. Hint: Bollinger Bands use 20 days of data, Stochastic Oscillator uses 14...
-
Describe how mescaline could be synthesized from benzene. The structure of mescaline is given on p. 622.
-
Keating & Partners is a law firm specializing in labour relations and employee-related work. It employs 25 professionals (5 partners and 20 managers) who work directly with its clients. The average...
-
Heterogeneous equilibria and calcite solubility. If river water in Box 7-2 is saturated with calcite (CaCO 3 ), [Ca 2+ ] is governed by the following equilibria: (a) From these reactions, find the...
-
Using activity coefficients correctly, find the pH of 1.0 10 -2 M NaOH.
-
(Without activities), calculate the pH of (a) 1.0 10 -8 M HBr (b) 1.0 10 -8 M H2SO4 (H2SO4 dissociates completely to 2H + plus SO 2 4 - at this low concentration.)
-
List of Accounts Accounts Payable Accounts Receivable Accumulated Depreciation-Equipment Allowance for Doubtful Accounts Bad Debt Expense Cash Cost of Goods Sold Equipment Income Summary Interest...
-
2. Consider a differential equation y' y - 3x - for x > 0. I (a) Is the ODE separable or/and linear or/and autonomous? (b) Is y = 0 a trivial solution of the ODE? * (c-d) Let the initial condition is...
-
Required: 1. Using the president's new assumptions in (a) above, prepare a schedule of expected cash collections for April, May, and June and for the quarter in total. 2. Using the president's new...
Study smarter with the SolutionInn App