Purchase Solution

# Variance and unbiased estimator

Not what you're looking for?

Please see the attached file for full problem description.

---
? A random sample of independent observations is taken from a Rayleigh distribution, whose density function is given by

for x> or equal to 0

0 if x<0

show that the maximum likelihood estimate is given by .

Using the result that deduce that is an unbiased estimator of and has variance . What reason would you give for supposing that the distribution of is approximately normally distributed for large n?

##### Solution Summary

This shows how to make a judgment about the variance and unbiased estimator in a Rayleigh distribution.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.