0
$\begingroup$

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

$\endgroup$
4
  • $\begingroup$ Can you write the density function for $X$ uniformly distributed over $[0,1]$? Those points with non-zero probability belong to the rank of $X$! $\endgroup$
    – user21436
    Jan 24, 2012 at 17:00
  • $\begingroup$ @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. $\endgroup$
    – Did
    Jan 24, 2012 at 17:08
  • $\begingroup$ @DidierPiau Thank You very much! Sure, I meant "non-zero density"! $\endgroup$
    – user21436
    Jan 24, 2012 at 17:35
  • $\begingroup$ @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... :-) $\endgroup$
    – Did
    Jan 24, 2012 at 17:47

1 Answer 1

1
$\begingroup$

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?

$\endgroup$
2
  • $\begingroup$ 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) $\endgroup$ Jan 24, 2012 at 23:10
  • $\begingroup$ Melkhiah: If the definition is well known to you, why do you ask this question? $\endgroup$
    – Did
    Jan 26, 2012 at 6:57

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .