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Econometrics Questions
Econometrics Questions
URGENTTT TOMORROW EXAMMM PLZZZ
Show that 𝑃𝑖 and 𝑢𝑖s are correlated and that the OLS estimator of 𝛽1 is inconsistent. How would you estimate 𝛽0,𝛽1 and 𝛾0?
Statistics(Econ)
Stats URGENT
Very difficult Econometrics question
Econometrics question
calculate Ordinary Least Squares
Let X be a normal random variable with mean µ, variance^2 , pdf and mdf
A random variable X is lognormal if ln X, the natural logarithm of X, is normally distributed. Find the mean and variance of a lognormal random variable with ln X ∼ N(µ, σ2 ). [Hint: consider using the mgf of the normal distribution.]
Prove that any two independent random variables are uncorrelated.
Suppose you want to estimate following demand for money for US economy using data from 1960 to 2005 r u d M Y e e 2 3 0 i. How will you estimate above model? ii. What are economic meanings of 2 and 3 ?
The Bernoulli random variable takes values 0 and 1, and has probability function f(x) = (p^x) [(1 − p)^(1−x)]
Let X be a Poisson random variable with mean λ
Let X equal the larger outcome when a pair of 6-sided dice are rolled.
Help with Pascal’s triangle and binomial coefficients
Let X be a discrete random variable with probability function f(x). Prove that E[a + b g(X) + c h(X)] = a + bE[g(X)] + cE[h(X))], where g and h are functions, and a, b and c are constants.
Let a random variable X have the p.f. f(x) = c(|x| + 1)2 for x = 0, ±1. Find the constant c so that f(x) is a valid probability function. Then, find E(X), E(X2 ) and var(X).
Let X be binomial with parameters n and p. Evaluate E{X(X − 1)} from first principles (i.e. the definition of expectation), and hence, derive var(X). You may assume linearity of expectation, and that E(X) = np.
Econometric
Consider the following joint density function of the random variables X and Y:
Complete the entries in the table...
Show unbiasedness of (β_0 ) ̂ . State any assumptions needed to prove unbiasedness and define all the variables involved in your proof.
Consider a linear model to explain monthly beer consumption
Please solve question 2
Econ
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