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1
vote
0
answers
47
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Coupon collector inside the coupon collector
Consider the coupon collector problem, in which $n$ coupons must be collected and one coupon appears randomly daily. …
2
votes
1
answer
82
views
A Pairwise Coupon Collector Problem
This is a modified version of the coupon collector problem, where we are interested in making comparisons between the "coupons". …
4
votes
1
answer
147
views
Modified coupon collector: killing traitors problem
At a glance, it seems related to the coupon collector problem, but all the slick methods of solving the coupon collecting problem don't work here for one reason or another. … Also, just to note, it's fairly obvious that the coupon collector problem gives an upper bound on this problem, but the bound it gives ($n \ln (m)$), is worse than the trivial bound of $n$. …
2
votes
0
answers
261
views
Extending the Coupon Collector Problem
The Coupon Collector Problem is a well-known one in mathematics and statistics. …
9
votes
1
answer
423
views
Intuition about the coupon collector problem approaching a Gumbel distribution
The coupon collector's problem
Let there be $n$ different types of coupons and we try to collect all of the types. … The article from Lars Holst, 'Extreme value distributions for random coupon collector and birthdays problems', is getting close to what I am searching for. But it still becomes quite technical. …
10
votes
2
answers
5k
views
Is there a formula for a general form of the coupon collector problem?
I stumbled across the coupon collectors problem and was trying to work out a formula for a generalization. … The normal coupon collector problem has $m = N$ and $k = 1$.
There are 12 different LEGO figures in a collection. I want to collect 3 copies of each of 10 (any 10) figures. …
3
votes
0
answers
263
views
What is the waiting time in a coupon collector problem with coupons in packs? [closed]
I am looking for an equation that will let me calculate the waiting time expectation and variance for a coupon collector problem (equal probabilities of coupons) in which coupons come in packs, with no …
0
votes
0
answers
85
views
coupon collector's problem - labelled or not?
I have come across the famous coupon collector's problem.
Linking the problem to the Twelvefold way, my first reaction has been to use the case with unlabelled balls with labelled boxes. …
24
votes
4
answers
5k
views
What is a tight lower bound on the coupon collector time?
In the classic Coupon Collector's problem, it is well known that the time $T$ necessary to complete a set of $n$ randomly-picked coupons satisfies $E[T] \sim n \ln n $,$Var(T) \sim n^2$, and $\Pr(T > n …
15
votes
3
answers
2k
views
Estimating n in coupon collector's problem
In a variation on the coupon collector's problem, you don't know the number of coupons and must determine this based on data. …
6
votes
1
answer
611
views
Continuous Version of Coupon-Collector Problem
Suppose I get in an elevator every morning and am in it for exactly one minute. A continuous loop of music plays in the elevator and is 10 minutes long.
If my daily arrival time is uniform in the ti …
0
votes
0
answers
24
views
A kind of coupon collector's problem [duplicate]
Number
of days between coupon j and j+1 is CC(j+1) - CC(j). Then to collect
all c types is CC(c).
The problem is that I don't understand how I could start formulating a solution using this. …
1
vote
0
answers
256
views
Understanding the equation for the coupon collector problem
I am collecting the new world cup panini album. The album has 680 stickers (approx) and there are 5 different stickers in each packet. I would like to know the probability I have of missing 50 sticker …
0
votes
1
answer
156
views
Inverse coupon collector problem (estimating n), unequal case
I collect coupons of theoretically $n$ different colours, which come up randomly, one at a time. Up to now, I have collected $c$ coupons in total, falling into $j$ different colour classes. From this …
1
vote
1
answer
106
views
Need help with expected value calculation in coupon collectors in coupon collectors variant
I am revisiting a question I asked previously with a slight caveat. In my new situation, I am considering the marbles to always be attached to the same neighbors. Hopefully this will be clearer with a …