(Solved): 3.1 State the result of finding a complete sufficient statistic \( \mathrm{T}(\mathbf{X}) \), for ...

3.1 State the result of finding a complete sufficient statistic \( \mathrm{T}(\mathbf{X}) \), for a parameter \( \theta \), from the exponential class of distributions. [5] 3.2 Consider a random sample \( X_{1}, X_{2}, \ldots, X_{n} \) from the Beta distribution; \[ f(x ; \theta)=\theta(1-x)^{\theta-1}, \quad 0