6 results.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
For a sample of size n from a normal distribution and given the mean of the sample and the standard deviation of the distribution, find the MLE for the mean. Also the expected information and a confidence interval for the mean.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
For a sample of size n from a Poisson distribution $\operatorname{Poisson}(\lambda)$ and given the mean of the sample, find the MLE for $\lambda$. Also find the expected information and a confidence interval for $\lambda$.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
For a sample of size n from an Exponential distribution $\operatorname{Exponential}(\lambda)$ and given the mean of the sample, find the MLE for $\lambda$. Also find the expected information and a confidence interval for $\lambda$.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
Given 3 observations from a $\operatorname{Poisson}(\mu)$ distribution find the likelihood, the log likelihood and the MLE for $\mu$.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
Given sum of sample from a Normal distribution with unknown mean $\mu$ and known variance $\sigma^2$. Find MLE of $\mu$ and one of four functions of $\mu$.
-
Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$.