Let X be a discrete random variable with state space {1,2,3}, a hypothetical three sided die....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let X be a discrete random variable with state space {1,2,3}, a hypothetical three sided die. Suppose that the probabilities associated with the state space are P(X = 1) = 40, == P(X = 2) = 30, P(X=3)= 1 70. Q1 Calculate the range of possible values of the parameter 0. Q2 Calculate the Maximum Likelihood Estimator of X. (This estimator should be expressed in terms of x1, x2, and x3, where xi is the number of times i shows up in the data sample set. If 1 shows us five times, then x1 = 5.) (*) Let X1, XN be a sample set of Uniform (a, b), where b> a and a and b are unknown parameters. Find the MLE and b. (Write out the likelihood function in terms of indicator functions. An indicator function 1s(x) gives output 1 when x is in the set S and outputs 0 when x is not in the set S.) Let X be a discrete random variable with state space {1,2,3}, a hypothetical three sided die. Suppose that the probabilities associated with the state space are P(X = 1) = 40, == P(X = 2) = 30, P(X=3)= 1 70. Q1 Calculate the range of possible values of the parameter 0. Q2 Calculate the Maximum Likelihood Estimator of X. (This estimator should be expressed in terms of x1, x2, and x3, where xi is the number of times i shows up in the data sample set. If 1 shows us five times, then x1 = 5.) (*) Let X1, XN be a sample set of Uniform (a, b), where b> a and a and b are unknown parameters. Find the MLE and b. (Write out the likelihood function in terms of indicator functions. An indicator function 1s(x) gives output 1 when x is in the set S and outputs 0 when x is not in the set S.)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these programming questions
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...
-
Evan participates in an HSA carrying family coverage for himself, his spouse, and two children. In 2018, Evan has $100 per month deducted from his paycheck and contributed to the HSA. In addition,...
-
Given the following information, a required return of 8%, an initial investment of $45,000, and cash flows of $12,000, $20,000, $10,000 and $6,000 for years 1-4 respectively, should the investment be...
-
A stock has an expected return of 11.2 percent, a beta of 1.15, and the expected return on the market is 10.4 percent. What must the risk-free rate be?
-
Fill in the Blank. For vibration testing, the machine is supported to simulate \(a(n)\) _______________ system so that rigid body modes can also be observed. \( \qquad \) condition of the
-
Condensed balance sheet and income statement data for Jergan Corporation are presented here. Additional information 1. The market price of Jergan's common stock was $7.00, $7.50, and $8.50 for 2015,...
-
A firm has fixed assets with a book value of $12,000 and a useful life of three-years. If pretax accounting income is $25,000 this year, $20,000 next year and $35,000 in the following year provide...
-
Colligative Properties (ALEKS lab) Introduction Lab Data Verify your mass calculation Verify your molality calculation Did you account for the freezing-point of your DI water? Did you report your...
-
King Limited operates a standard absorption costing system. During last month, it made only one product, the LION2. The following information is known about LION2: Standard cost (for one unit of...
-
Instructions With the class divided into groups, answer the following. Identify the special journals that Ermler & Trump should have in its manual accounting system, List the column headings...
-
Concerts Migos have a concert next Friday and tickets cost $180. You have been given a free ticket to see Migos in concert. You cannot resell the ticket. Taylor Swift is performing on the same night...
-
How can societies foster innovation and creativity while maintaining social stability, and what are the potential risks of prioritizing one over the other ?
-
Envision a utopian society where inflation is managed perfectly. Describe the mechanisms and policies this society uses to maintain ideal inflation rates. Compare and contrast this utopian scenario...
-
what are the 5 dimensions of business environment and discuss key elements in each area as they relate to US based business. Describe Briefly?
-
Paramount Limited purchased 80% of the issued ordinary share capital of Star Limited four years ago, when the retained earnings of Star Limited were Rs.20 million: a. At acquisition, the fair value...
-
A firm has the following balance sheet: Assets Cash Accounts receivable Inventory Plant and equipment $ 15,000 150,000 92,000 170,000 $427,000 Liabilities and Equity Accounts payable Long-term debt...
-
In Exercise 8.113 on page 335, we introduced one-sided one-mean t-intervals. The following relationship holds between hypothesis tests and confidence intervals for one-mean t-procedures: For a...
-
In 1905, R. Pearl published the article Biometrical Studies on Man. I. Variation and Correlation in Brain Weight (Biometrika, Vol. 4, pp. 13104). According to the study, brain weights of Swedish men...
-
Left-tailed test: a. z = 0.74 b. z = 1.16 We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two tailed, left tailed, or...
-
What is the value of the finite population correction factor in the formula for \(\sigma_{\bar{X}}^{2}\) when (a) \(n=8\) and \(N=640\) ? (b) \(n=100\) and \(N=8,000\) ? (c) \(n=250\) and...
-
The following is the time taken (in hours) for the delivery of 8 parcels within a city: 28,32,20,26, 42,40,28, and 30 . Use these figures to judge the reasonableness of delivery services when they...
-
Prove that \(\mu_{\bar{X}}=\mu\) for random samples from discrete (finite or countably infinite) populations.
Study smarter with the SolutionInn App