Minimum Variance Unbiased Estimation and Certain Problems of Additive Number Theory
Minimum Variance Unbiased Estimation and Certain Problems of Additive Number Theory
Let $T$ be a subset of the set $I$ of non-negative integers. Define $f(\theta) = \sum a(x)\theta^x$ where the summation extends over $T$ and $a(x) > 0, \theta \geqq 0$ with $\theta \epsilon \Theta$, the parameter space, such that $f(\theta)$ is finite and differentiable. One has $\Theta = \{\theta:0 \leqq …