Take the 2-minute tour ×
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.

Well the question is a little easier .. Let X be a random variable that follows a Uniform distribution (0,1)(Uniform Standard). What is rank of the variable? (Values ​​can take). I have a confusion between whether the variable can take real values ​​between the interval (0,1) or can only take the values ​​0 or 1

share|improve this question
    
Can you write the density function for $X$ uniformly distributed over $[0,1]$? Those points with non-zero probability belong to the rank of $X$! –  user21436 Jan 24 '12 at 17:00
    
@Kanna: Be careful that here, every point has zero probability... I see what you mean to ask by your second question but it needs to be slightly reformulated. –  Did Jan 24 '12 at 17:08
    
@DidierPiau Thank You very much! Sure, I meant "non-zero density"! –  user21436 Jan 24 '12 at 17:35
    
@Kan: Yes. With the further caveat that the density function is only defined almost surely... Hence for every point there exists a density function which is zero at this point... :-) –  Did Jan 24 '12 at 17:47
add comment

1 Answer

up vote 1 down vote accepted

Let X be a random variable that follows a Uniform distribution (0,1)(Uniform Standard).

Do you mean a discrete or a continuous distribution? Do you mean [0,1] or (0,1)? Or are these your questions?

share|improve this answer
    
Sorry is a continuos distribution. that is X ~ Uniform (0,1). I thought that the random variable that follows a standard uniform distribution is understood to be a continuous distribution (by definition) –  franvergara66 Jan 24 '12 at 23:10
    
Melkhiah: If the definition is well known to you, why do you ask this question? –  Did Jan 26 '12 at 6:57
add comment

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.