# biased estimator

1. ### Bias in Zero-One Inflated Beta Regression?

We have recently been trying to use the zero-one inflated beta regression macros that were published as part of SAS Global Forum 2012 (see... https://support.sas.com/resources/papers/proceedings12/325-2012.pdf they have been very helpful in more accurately modelling the Loss Given Default (LGD)...
2. ### Calculating the bias of variance estimator

Dear all, I have been given two variance (S^2) estimators, S1 and S2. I am not including the square (^2) as it may cause confusion. And I am to determine the bias of these estimators. Now, given that estimator S1 has the same equation as sample variance, it should therefore be classed as...
3. ### obtaining an unbiased estimator for the min: x_(1)

How would I go about finding an unbiased estimator for the minimum order statistic for a given PDF and distribution. Example: f(x|theta)=e^-(x-theta) for x > theta found my MLE to be X_(1), the MIN(X_i). Setting my theta_hat = X_(1) and plugging in to n*f(x)*[1-F(x)]^(n-1) I obtain...
4. ### Why is the mean of sample variances not equal to the population variance?

Several texts say that the mean of all values of an unbiased estimator is equal to the parameter it is estimating. They also say that the sample variance using Bessel's correction is an unbiased estimator of the population variance. Here's what I'm confused about: Consider a population...