In article <8e7etv$msp$[EMAIL PROTECTED]>, <[EMAIL PROTECTED]> wrote:
>Hi,
>Could anybody tell me how to write the density of the binomiale
>distribution when x=0 is not observed? will the MLE of p different than
>X-bar in the case of truncated Binomial? How about the variance and the
>bias of this estimator?
The probability distribution will be the conditional
distribution. Y = X-bar is still a sufficient statistic,
but unless Y = n, it will not be the MLE. In fact, if
Y = 1, the MLE is 0.
The MLE satisfies (1-q^n)*Y = np. The asymptotic mean
and variance can be computed in the usual manner for
regular problems, but the actual mean and variance is
not simple.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED] Phone: (765)494-6054 FAX: (765)494-0558
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