Homework Answers
10.
Option A is correct.
Because for forecasting we absolutely need to find the constant (time-invariant) component in the series, otherwise, it's impossible to forecast by definition. Stationarity is just a particular case of the invariance. Only option A satisfies this condition.
Please upvote if you have liked my answer, would be of great help. Thank you.
Add Answer to:
10. Let D represent the demand, μ be the average demand, and be a random error, such that ε ~ N(0...
PART 1 Let X represent the average age of people living in Sun City. Assume that...
PART 1 Let X represent the average age of people living in Sun City. Assume that X has a normal probability distribution with μ=72 years and σ=10 years. You intend to measure a random sample of n=51 people. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2 decimal places.) σ¯x= PART 2 In a...
QUESTION 2 Let Xi.. Xn be a random sample from a N (μ, σ 2) distribution,...
QUESTION 2 Let Xi.. Xn be a random sample from a N (μ, σ 2) distribution, and let S2 and Š-n--S2 be two estimators of σ2. Given: E (S2) σ 2 and V (S2) - ya-X)2 n-l -σ (a) Determine: E S2): (l) V (S2); and (il) MSE (S) (b) Which of s2 and S2 has a larger mean square error? (c) Suppose thatnis an estimator of e based on a random sample of size n. Another equivalent definition of...
Let X represent the full height of a certain species of tree. Assume that X has...
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ=24.7 ft and σ=54 ft. You intend to measure a random sample of n=229 trees. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2 decimal places.) σ¯x=
Let X represent the full height of a certain species of tree. Assume that X has...
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ = 148.6 ft and σ = 67.9 ft. You intend to measure a random sample of n = 193 trees. What is the mean of the distribution of sample means? μ ¯ x = What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2...
Let XX represent the full height of a certain species of tree. Assume that XX has...
Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with μ=182.9μ=182.9 ft and σ=7.1σ=7.1 ft. You intend to measure a random sample of n=87n=87 trees. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 4 decimal places.) σ¯x= σx¯=
Question 5 /10 points/ MLE of Variance is Biased For each n-1.M, let Xn ~ N(μ, Σ) denote an insta...
Question 5 /10 points/ MLE of Variance is Biased For each n-1.M, let Xn ~ N(μ, Σ) denote an instance drawn (independently) from a Gaussian distribution with mean μ and convariance Σ. Recall /IML Xm, and Show that EML]-NN Σ Y ou mav want to prove, then use . where àn,m = 1 if m n and = 0 otherwise.
Question 5 /10 points/ MLE of Variance is Biased For each n-1.M, let Xn ~ N(μ, Σ) denote an instance...
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unk...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
Let X1,X2, , Xn be a random sample from a normal distribution with a known mean μ (xi-A)2 and variance σ unknown. Let ơ-- Show that a (1-α) 100% confidence interval for σ2 is (nơ2/X2/2,n, nơ2A-a/2,n)...
Let X1,X2, , Xn be a random sample from a normal distribution with a known mean μ (xi-A)2 and variance σ unknown. Let ơ-- Show that a (1-α) 100% confidence interval for σ2 is (nơ2/X2/2,n, nơ2A-a/2,n).
Let X1,X2, , Xn be a random sample from a normal distribution with a known mean μ (xi-A)2 and variance σ unknown. Let ơ-- Show that a (1-α) 100% confidence interval for σ2 is (nơ2/X2/2,n, nơ2A-a/2,n).
3) [10 points Let yi, yz, , a ncel Finyt be a random sample from a normal distribution with unknown mean μ Ho: μ-μο against H, : μ-μι. 3) [10 points Let yi, yz, , a ncel Finyt be a random...
3) [10 points Let yi, yz, , a ncel Finyt be a random sample from a normal distribution with unknown mean μ Ho: μ-μο against H, : μ-μι.
3) [10 points Let yi, yz, , a ncel Finyt be a random sample from a normal distribution with unknown mean μ Ho: μ-μο against H, : μ-μι.
Let Zi, Z.Zg be a random sample of size 3 from the N(μ = 0, σ2-1)...
Let Zi, Z.Zg be a random sample of size 3 from the N(μ = 0, σ2-1) distribution. Let Xi, X2 be a random sample of size 2 from the N( 1-0,02-2) distribution. Let Y.Y2, Y be a random sample of size 3 from the N(11-1,ơ2-3) distribution. The Xi, Y, and Zi are all mutually independent. Give the distribution (including parameters) of each of the following: 2
QUESTION 2 Let Xi.. Xn be a random sample from a N (μ, σ 2) distribution, and let S2 and Š-n--S2 be two estimators of σ2. Given: E (S2) σ 2 and V (S2) - ya-X)2 n-l -σ (a) Determine: E S2): (l) V (S2); and (il) MSE (S) (b) Which of s2 and S2 has a larger mean square error? (c) Suppose thatnis an estimator of e based on a random sample of size n. Another equivalent definition of...
Question 5 /10 points/ MLE of Variance is Biased For each n-1.M, let Xn ~ N(μ, Σ) denote an instance drawn (independently) from a Gaussian distribution with mean μ and convariance Σ. Recall /IML Xm, and Show that EML]-NN Σ Y ou mav want to prove, then use . where àn,m = 1 if m n and = 0 otherwise.
Question 5 /10 points/ MLE of Variance is Biased For each n-1.M, let Xn ~ N(μ, Σ) denote an instance...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
Let X1,X2, , Xn be a random sample from a normal distribution with a known mean μ (xi-A)2 and variance σ unknown. Let ơ-- Show that a (1-α) 100% confidence interval for σ2 is (nơ2/X2/2,n, nơ2A-a/2,n).
Let X1,X2, , Xn be a random sample from a normal distribution with a known mean μ (xi-A)2 and variance σ unknown. Let ơ-- Show that a (1-α) 100% confidence interval for σ2 is (nơ2/X2/2,n, nơ2A-a/2,n).
3) [10 points Let yi, yz, , a ncel Finyt be a random sample from a normal distribution with unknown mean μ Ho: μ-μο against H, : μ-μι.
3) [10 points Let yi, yz, , a ncel Finyt be a random sample from a normal distribution with unknown mean μ Ho: μ-μο against H, : μ-μι.
Let Zi, Z.Zg be a random sample of size 3 from the N(μ = 0, σ2-1) distribution. Let Xi, X2 be a random sample of size 2 from the N( 1-0,02-2) distribution. Let Y.Y2, Y be a random sample of size 3 from the N(11-1,ơ2-3) distribution. The Xi, Y, and Zi are all mutually independent. Give the distribution (including parameters) of each of the following: 2
Most questions answered within 3 hours.
-
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 28 minutes ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 30 minutes ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 1 hour ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 1 hour ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 1 hour ago -
4. How many input & output Key Value Pairs are passed into,
and emitted out of...
asked 1 hour ago -
Why would your heart not function well if constructed of
skeletal muscle? What is the particular...
asked 1 hour ago -
Please respond to this essay question in full essay form for
Chemistry 1102 Organic and Biochemistry:...
asked 1 hour ago -
Determine the head loss and velocity of flow in a water supply main
of 15.0 cm...
asked 1 hour ago -
A marketing executive who knowingly authorizes a shoddy
defective product to be brought to market is...
asked 1 hour ago -
Write a psudocode:
1. Define a function called authorize that takes in 2 strings,
uName, and...
asked 1 hour ago -
What Hall voltage (in mV) is produced by a 0.180 T field applied
across a 2.60...
asked 1 hour ago