Modeling the wage distribution

Part I: (15pts) Consider modeling the wage distribution using a continuous distributionwith the following PDF:f(x; θ) = (0 x < 1 θ xθ+1 x ≥ 1. (1) (i) Suppose that θ > 1. Prove thatE[X] = θθ − 1. (2)(ii) Based on (i), find an expression for the method of moments...

Modeling the wage distribution

Part I: (15pts) Consider modeling the wage distribution using a continuous distributionwith the following PDF:f(x; θ) = (0 x < 1 θ xθ+1 x ≥ 1. (1) (i) Suppose that θ > 1. Prove thatE[X] = θθ − 1. (2)(ii) Based on (i), find an expression for the method of moments...

Modeling the wage distribution

Part I: (15pts) Consider modeling the wage distribution using a continuous distributionwith the following PDF:f(x; θ) = (0 x < 1 θ xθ+1 x ≥ 1. (1) (i) Suppose that θ > 1. Prove thatE[X] = θθ − 1. (2)(ii) Based on (i), find an expression for the method of moments...

Modeling the wage distribution

Part I: (15pts) Consider modeling the wage distribution using a continuous distributionwith the following PDF:f(x; θ) = (0 x < 1 θ xθ+1 x ≥ 1. (1) (i) Suppose that θ > 1. Prove thatE[X] = θθ − 1. (2)(ii) Based on (i), find an expression for the method of moments...

Modeling the wage distribution

Part I: (15pts) Consider modeling the wage distribution using a continuous distributionwith the following PDF:f(x; θ) = (0 x < 1 θ xθ+1 x ≥ 1. (1) (i) Suppose that θ > 1. Prove thatE[X] = θθ − 1. (2)(ii) Based on (i), find an expression for the method of moments...