Can I read Variance Stabilization for Poisson Mean on EtoBox?
Variance Stabilization for Poisson Mean by Gia Way Hsu is a document available to read on EtoBox.
What is Variance Stabilization for Poisson Mean about?
(i) For i.i.d. random variables X1, ..., Xn with mean μ and variance 1, if μ ≠ 0, then an(Xn - bn) converges in distribution where an = √n and bn = μ2. If μ = 0, then an(Xn - bn) converges in distribution where an = n and bn = 0. (ii) For a random sample from a Poisson distribution with mean θ, the variance-stabilizing transformation is the square root function. A (1 - α) confidence interval for θ is given by {√Xn - z√α/2√n, √Xn + z√α/2√n
- Author
- Gia Way Hsu
- Language
- EN