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Let X1, ..., Xn be i.i.d. random variables from P(a,θ), where (a, θ) ∈ R2 is a parameter. Find a two-dimensional sufficient statistic for (a, θ) in the following cases.

(a) P(a,θ) is the exponential distribution E(a, θ), a ∈ R, θ ∈ (0, ∞).

(b) P(a,θ) is the Pareto distribution Pa(a, θ), a ∈ (0, ∞), θ ∈ (0, ∞).

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