 Estimators for a Poisson exposure model

ID: estimators-for-a-poisson-exposure-model

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

S_{r} = \sum_{i} x_{i}^{r}

, unweighted least squares through the origin and maximum likelihood give

θ_{L S} = \frac{\sum _{i} x _{i} Y _{i}}{S _{2}}, θ_{M L E} = \frac{\sum _{i} Y _{i}}{S _{1}} .

Both estimators are unbiased.

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