Tell me more ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
up vote 2 down vote favorite

For a sample of size n from a random variable with density function $$f_{\theta}(x)=\frac{2x}{\theta^2}, x>0$$

find the confidence interval for $\theta$ of average length consistently lower level of confidence $ 1 - \alpha $, based on a sufficient statistic.

share|improve this question
I apreciate any help, because i did not understand much exercise. – Sophie Germain Jan 22 at 18:16
You might have mis-transcribed the exercise, since the alleged density function isn't integrable over the indicated range. – Andreas Blass Jan 22 at 18:32
your density function is not integrable for x>0 however for this kind of question use properties of density function. im sure you can solve all problem (by tenacity and thinking ) – Maisam Hedyelloo Jan 22 at 18:40
Omg Sorry I am a silly -.- this isn't function – Sophie Germain Jan 22 at 18:41
You originally had $\dfrac{\theta}{x^2}$. My suspicion is that as a function of $x$, this is supposed to be a density on the interval $(\theta,\infty)$. – Michael Hardy Jan 22 at 21:15
show 2 more comments

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.