A nonnegative integer variable y that is geometric distributed has density (or more formally probability mass function) f (y) (y 1)(2)y(1 2) (y 0 5), y 0, 1, 2, , 0 Then E y and V y (1 2) Introduce regressors and suppose i exp(x i) Assume the data are independent over i and xi is nonstochastic and 0 in the dgp (a) Repeat Exercise 52 for this model (b) Repeat Exercise 53 for this model

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Question: A nonnegative integer variable y that is geometric distributed has density (or more formally probability mass function) f (y) = (y + 1)(2)y(1 + 2)

A nonnegative integer variable y that is geometric distributed has density (or more formally probability mass function) f (y) = (y + 1)(2λ)y(1 + 2λ)

−(y+0.5), y =

0, 1, 2,...,λ> 0. Then E[y] = λ and V[y] = λ(1 + 2λ). Introduce regressors and suppose γi = exp(x iβ). Assume the data are independent over i and xi is nonstochastic and β = β0 in the dgp.

(a) Repeat Exercise 5–2 for this model.

(b) Repeat Exercise 5–3 for this model.

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