Talk:Discrete uniform distribution

message: EDITORS! Please see Wikipedia:WikiProject Probability#Standards for a discussion of standards used for probability distribution articles such as this one.
---  — Preceding unsigned comment added by MLópez-Ibáñez (talk • contribs) 13:39, 10 October 2012 (UTC)
thread_title: Untitled

message: Can anyone expand on "compare \frac{m}{k} above"? What was the point being made? Melcombe (talk) 17:00, 19 February 2009 (UTC)
thread_title:  Unclear 

message: Shouldn't both of these be the sum of ni/n, (that is, the sum of the point values divided by the number of points)? (a+b)/2 only works if you have a discrete uniform distribution with only two points.  —Preceding unsigned comment added by Beefpelican (talk • contribs) 14:33, 16 November 2009 (UTC)
thread_title: Mean and Variance

message: Note the paragraph at top which reads: "In case the values of a random variable with a discrete uniform distribution are real, it is possible to express the cumulative distribution function in terms of the degenerate distribution; thus"
1) I believe I know what it's trying to say, but it's wildly ambiguous. A simple syntactic rewrite would make this much clearer, as in "When a random variable has discrete values which are not integers..."
2) Since this is an expansion of the original thought to real-valued discrete variables, perhaps the original (simpler) thought should just be continued; ie - put this paragraph further down the article after the discussion about integer values has been more fully developed.  —Preceding unsigned comment added by 207.22.18.83 (talk) 14:25, 11 April 2010 (UTC)
thread_title:  Also unclear 

message: The plots on the right use equidistant numbers, not the thing one would expect from random numbers.  — Preceding unsigned comment added by Muhali (talk • contribs) 17:37, 18 January 2013 (UTC)
thread_title:  Random? 

message: I'm wondering why the 'Notation' and 'Parameters' parts don't print as they appear on the page; everything else prints OK.
71.139.162.77 (talk) 05:45, 22 October 2014 (UTC)
thread_title:  Printing issues 

message: Mathworld.Wolfram (http://mathworld.wolfram.com/Dice.html) describes the distributions which arise from the sum of dice rolls. I feel as if the information needs to be condensed and transferred in a copyright respecting format.
Here is my take at deriving the distribution of independent sums of discrete uniform random variables:
For n s-sided dice each independent and \sim \mathcal{U}(1,s), summing over each additional die performs discrete convolution
 pmf(k,n,s) = \sum_{i=1}^{s} pmf(k,n-1,s) * p(k-i = \mathcal{U}(1,s)) 
 pmf(k,1,s) = \begin{cases} 1/s & \textrm{ if } 1 \leq k \leq s \\ 0 & \textrm{ otherwise} \end{cases}
Then it is a straightforward case of induction to show that pmf described on http://mathworld.wolfram.com/Dice.html fulfills the above recursion (assuming I avoided making mistakes).Mouse7mouse9 04:28, 24 February 2015 (UTC)
thread_title:  Distribution of sums of discrete uniform random variables 

message: The section Estimation of maximum says
:The UMVU estimator for the maximum is given by
::\hat{N}=\frac{k+1}{k} m - 1 = m + \frac{m}{k} - 1
:where m is the sample maximum and k is the sample size, sampling without replacement. This can be seen as a very simple case of maximum spacing estimation.
:The formula may be understood intuitively as
::the sample maximum plus the average gap between observations in the sample,
:the gap being added to compensate for the negative bias of the sample maximum as an estimator for the population maximum. [Note: The sample maximum is never more than the population maximum, but can be less, hence it is a biased estimator: it will tend to underestimate the population maximum.]
This intuition seems wrong to me, by this counterexample: Say our observations are {1,4}. The formula gives \hat{N} = 4 + 4/2 – 1 = 5. But the suggested intuition gives 4 + 3 =7. 
Am I missing something, or is the stated intuitive interpretation wrong? Loraof (talk) 22:55, 3 June 2017 (UTC)
thread_title:  Suspect intuitive interpretation 

message: انهاتشكل خطر علجهاز 37.237.64.30 (talk) 00:06, 9 February 2024 (UTC)
thread_title:  يقاف الجهزه