Given the likelihood of θ with respect to sample D p(D|θ) = Q j p(xj |θ),...

Given the likelihood of θ with respect to sample D p(D|θ) = Q j p(xj |θ), where D = {x1, · · · , xn} is identically and independently distributed (i.i.d) sample points. Briefly describe how you would find the maximum likelihood estimation and the Bayesian estimation of θ.

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orchestra answered 1 year ago

Assume that a sample X = {Xj : 1 ≤ j ≤ 10} of size n...

Assume that a sample X = {Xj : 1 ≤ j ≤ 10} of size n = 10 was drawn from the uniform distribution on the interval (0 < x < 4). Let X[k] denote the k th order statistic based on this sample. 1. Evaluate expected value of X[5] 2. Derive conditional expectation of X[5], given that X[10] = 3.

Given a random sample from a uniform distribution, find the maximum likelihood estimator for θ when...

Given a random sample from a uniform distribution, find the maximum likelihood estimator for θ when a) 0 ≤ x ≤ θ; b) when 0 < x < θ; c) when θ ≤ x ≤ θ + 1.

(c) (¬p ∨ q) → (p ∧ q) and p (d) (p → q) ∨ p...

(c) (¬p ∨ q) → (p ∧ q) and p (d) (p → q) ∨ p and T I was wondering if I could get help proving these expressions are logically equivalent by applying laws of logic. Also these 2 last questions im having trouble with. Rewrite the negation of each of the following logical expressions so that all negations immediately precede predicates. (a) ¬∀x(¬P(x) → Q(x)) (b) ¬∃x(P(x) → ¬Q(x))

The market demand function for a good is given by Q = D(p) = 800 −...

The market demand function for a good is given by Q = D(p) = 800 − 50p. For each firm that produces the good the total cost function is TC(Q) = 4Q+( Q2/2) . Recall that this means that the marginal cost is MC(Q) = 4 + Q. Assume that firms are price takers. In the short run (with 100 firms), and assume that the government imposes a tax of $3 per unit. (a) What would be the new equilibrium...

Let Q(p) = (a + bp)^(θ/(1-θ)) for the demand curve. If c is the constant marginal...

Let Q(p) = (a + bp)^(θ/(1-θ)) for the demand curve. If c is the constant marginal cost and there is a monopoly, calculate dp/dc

Let the demand and supply functions for a commodity be Q =D(P) ∂D < 0 ∂P...

Let the demand and supply functions for a commodity be Q =D(P) ∂D < 0 ∂P Q=S(P,t) ∂S>0, ∂S<0 ∂P ∂t where t is the tax rate on the commodity. (a) What are the endogenous and exogenous variables? (b) Derive the total differential of each equation. (c) Use Cramer’s rule to compute dQ/dt and dP/dt. (d) Determine the sign of dQ/dt and dP/dt. (e) Use the Q − P diagram to explain your results. Find the Taylor series with n...

Let the demand and supply functions for a commodity be Q =D(P) ∂D < 0 ∂P...

Let the demand and supply functions for a commodity be Q =D(P) ∂D < 0 ∂P Q=S(P,t) ∂S>0, ∂S<0 ∂P ∂t where t is the tax rate on the commodity. (a) What are the endogenous and exogenous variables? (b) Derive the total differential of each equation. (c) Use Cramer’s rule to compute dQ/dt and dP/dt. (d) Determine the sign of dQ/dt and dP/dt. (e) Use the Q − P diagram to explain your results. Find the Taylor series with n...

2. A firm has a demand and cost function given by: D: P=100-Q, C: P=10+2q1+4q2 a)...

2. A firm has a demand and cost function given by: D: P=100-Q, C: P=10+2q1+4q2 a) Demonstrate whether this firm has economies to scale. b) Demonstrate whether this firm has economies of scope. c) Assume that the firm is the only firm in the market, derive graphically and numerically the optimal quantity, price and the profits/losses. d) What is the Lerner Index? Provide a numerical value and explain the relevance of the index/how it is used

Suppose that demand for a cigarettes (in millions of cartons) is given by Q=20 - ½ *P. Supply of cigarettes is given by Q=P.

Suppose that demand for a cigarettes (in millions of cartons) is given by Q=20 - ½ *P. Supply of cigarettes is given by Q=P. There is a negative consumption externality from cigarettes, in the amount of $2 per box.a. Draw the market for cigarettes, labeling the private marginal cost (PMC), social marginal cost (SMC), private marginal benefit (PMB) and social marginal benefit (SMB).b. What quantity of the good is consumed under the private market equilibrium?c. What is the socially optimal...

Sus: P = 2 + 35 Q Dus: P = 54000 - 70 D Sc: P...

Sus: P = 2 + 35 *Q Dus: P = 54000 - 70 *D Sc: P = 0 + 10 *Q Dc: P = 18000 - 20 *D Answers: Pw = $8,666.96 Dm=Qx= $400.04 Just need help on figuring out how these answers were found, thanks.

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Given the likelihood of θ with respect to sample D p(D|θ) = Q j p(xj |θ),...

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Assume that a sample X = {Xj : 1 ≤ j ≤ 10} of size n...

Given a random sample from a uniform distribution, find the maximum likelihood estimator for θ when...

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