Homework Answers
![Page 2] using above formula iwe can arite, B(5,6) B(3.6) But B(4,) = 1B 18+ :. Ecxi) = 15.16 15+6 1346 131_ 15+ Ca (n-1):) 3.](http://img.homeworklib.com/questions/bb7ed5b0-39cf-11ea-a6be-3d9d59e99cfb.png?x-oss-process=image/resize,w_560)
Add Answer to:
EXERCISE 3. Suppose X;'s are i.i.d. Beta B(3,6) (a) Compute E(5Xị - X1X2 – 4); Inn
Q has Beta[a,b] (a=6, b=5) (X|Q=q) i.i.d Geom[q] therefore E[X|Q] = [1-Q / Q] Var[X] =...
Q has Beta[a,b] (a=6, b=5) (X|Q=q) i.i.d Geom[q] therefore E[X|Q] = [1-Q / Q] Var[X] = [1-Q / Q^2] 6.1 E[X] = ? 6.2 Var[X] = ?
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillar...
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
4. Exercise Let X, Y be RVs. Denote E[X] = Hy and E[Y] =py. Suppose we...
4. Exercise Let X, Y be RVs. Denote E[X] = Hy and E[Y] =py. Suppose we want to test the null hypothesis Ho : Mx = uy against the alternative hypothesis Hi : 4x > uy. Suppose we have i.i.d. pairs (X1,Yı),...,(Xn, Yn) from the joint distribution of (X,Y). Further assume that we know the X - Y follows a normal distribution. (i) Show that exactly) T:= (X-Y)-(ux-uy) - tn-1), Sin (3) where s2 = n-1 [?-,((X; – Y;) –...
Answer all parts please. Question 3: Suppose that X and Y are i.i.d. N(0,1) r.v.'s (a)...
Answer all parts please.
Question 3: Suppose that X and Y are i.i.d. N(0,1) r.v.'s (a) (5 marks). Find the joint pdf for U Х+Ү andV — X+2Y. (b) (3 marks). The joint pdf of U and V is for what particular distribution? (Hint: See p.81 of the textbook.) (c) (2 marks). Are U and V independent? Why?
2. Suppose Xi,X2,..., Xn are i.i.d. random variables such that a e [0, 1] and has...
2. Suppose Xi,X2,..., Xn are i.i.d. random variables such that a e [0, 1] and has the following density function: r (2a) (1a-1 where ? > 0 is the parameter for the distribution. It is known that E(X) = 2 Compute the method of moments estimator for a
Please show all work in a clear manner. Thank you! Exercise 3 , X18 be i.i.d....
Please show all work in a clear manner.
Thank you!
Exercise 3 , X18 be i.i.d. from N(μι, 7σ2), and y, Let Xi, and l from N(μ2,3c2). Σ, JX-P Xi's 2. For what ,Y23 be i. i.d. and Yi t. S. Ẻ Σ1alx,-X)2 and S, = value of c does the expression e have the F17,22 distribution? iS are independen
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
in 4. Suppose that {Xk, k > 1} is a sequence of i.i.d. random variables with...
in 4. Suppose that {Xk, k > 1} is a sequence of i.i.d. random variables with P(X1 = +1) = 1. Let Sn = 2h=1 Xk (i.e. Sn, n > 1 is a symmetric simple random walk with steps Xk, k > 1). (a) Compute E[S+1|X1, ... , Xn] for n > 1. Hint: Check out Example 3.8 in the lecture notes (Version Mar/04/2020) for inspiration. (b) Find deterministic coefficients an, bn, Cn possibly depending on n so that Mn...
Suppose fis a differentiable function of x and y, and g(r,s) - 8r - S, s2...
Suppose fis a differentiable function of x and y, and g(r,s) - 8r - S, s2 - 7/). Use the table of values below to calculate 9:3, 6) and 9:(3,6). f fx 9 4 Fy 3 9 2 (18, 15) (3,6) 4 9 7 8 9.(3, 6) = 9s(3, 6) = Need Help? Read It Talk to Tutor
3. Suppose X1 with prob 1/2 and X-1 with prob. 1/2. Let Xi,.... Xn be i.i.d....
3. Suppose X1 with prob 1/2 and X-1 with prob. 1/2. Let Xi,.... Xn be i.i.d. with the same distribution as X (a) Find the mgf of X. (b) Let Ya=MtstAn. Find the mgfmyn(t). (c) Use the approximation: e 1for small r to find the liit of my (t) as noo for each fixed t. Can you identify this mgf?
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
3. Let Xi, , Xn be i.i.d. Lognormal(μ, σ2) (a) Suppose σ-1, prove that S-X(n)/X(i) is an ancillary statistics. (b) Suppose p 0, prove T-X(n) is a sufficient and complete statistics (c) Find a minimal sufficient statistics.
4. Exercise Let X, Y be RVs. Denote E[X] = Hy and E[Y] =py. Suppose we want to test the null hypothesis Ho : Mx = uy against the alternative hypothesis Hi : 4x > uy. Suppose we have i.i.d. pairs (X1,Yı),...,(Xn, Yn) from the joint distribution of (X,Y). Further assume that we know the X - Y follows a normal distribution. (i) Show that exactly) T:= (X-Y)-(ux-uy) - tn-1), Sin (3) where s2 = n-1 [?-,((X; – Y;) –...
Answer all parts please.
Question 3: Suppose that X and Y are i.i.d. N(0,1) r.v.'s (a) (5 marks). Find the joint pdf for U Х+Ү andV — X+2Y. (b) (3 marks). The joint pdf of U and V is for what particular distribution? (Hint: See p.81 of the textbook.) (c) (2 marks). Are U and V independent? Why?
2. Suppose Xi,X2,..., Xn are i.i.d. random variables such that a e [0, 1] and has the following density function: r (2a) (1a-1 where ? > 0 is the parameter for the distribution. It is known that E(X) = 2 Compute the method of moments estimator for a
Please show all work in a clear manner.
Thank you!
Exercise 3 , X18 be i.i.d. from N(μι, 7σ2), and y, Let Xi, and l from N(μ2,3c2). Σ, JX-P Xi's 2. For what ,Y23 be i. i.d. and Yi t. S. Ẻ Σ1alx,-X)2 and S, = value of c does the expression e have the F17,22 distribution? iS are independen
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
in 4. Suppose that {Xk, k > 1} is a sequence of i.i.d. random variables with P(X1 = +1) = 1. Let Sn = 2h=1 Xk (i.e. Sn, n > 1 is a symmetric simple random walk with steps Xk, k > 1). (a) Compute E[S+1|X1, ... , Xn] for n > 1. Hint: Check out Example 3.8 in the lecture notes (Version Mar/04/2020) for inspiration. (b) Find deterministic coefficients an, bn, Cn possibly depending on n so that Mn...
Suppose fis a differentiable function of x and y, and g(r,s) - 8r - S, s2 - 7/). Use the table of values below to calculate 9:3, 6) and 9:(3,6). f fx 9 4 Fy 3 9 2 (18, 15) (3,6) 4 9 7 8 9.(3, 6) = 9s(3, 6) = Need Help? Read It Talk to Tutor
3. Suppose X1 with prob 1/2 and X-1 with prob. 1/2. Let Xi,.... Xn be i.i.d. with the same distribution as X (a) Find the mgf of X. (b) Let Ya=MtstAn. Find the mgfmyn(t). (c) Use the approximation: e 1for small r to find the liit of my (t) as noo for each fixed t. Can you identify this mgf?
Most questions answered within 3 hours.
-
1- What are 5 general characteristics of Botticelli’s
paintings?
2- Describe 5 important traits of Flemish...
asked 29 minutes ago -
A golfer claims that his average golf score at the course he
plays regularly is less...
asked 43 minutes ago -
On May 1, First Bank perfected a security interest in Debtor’s
inventory. On June 1, Bob...
asked 1 hour ago -
A new kind of typhoid shot is being developed by a medical
research team. The old...
asked 2 hours ago -
Write a chemical equation for these reactions. (Use
the lowest possible whole number coefficients.) Include
states-of-matter...
asked 4 hours ago -
For each of the Z-scores below, determine two probabilities
(show four three decimal places): (1) the...
asked 5 hours ago -
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 8 hours ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 8 hours ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 8 hours ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 8 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 8 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 8 hours ago