The tag has no wiki summary.

learn more… | top users | synonyms

0
votes
0answers
30 views

A question related to Bernoulli trial [on hold]

I'm thinking a Bernoulli process $X_1, X_2, X_3, ...$ that stops when $n\left( X=0 \right)+2n\left( X=1 \right)\ge A$, where $n(X=0)$ and $n(X=1)$ are the number of 0 and 1 in the sequence ...
1
vote
0answers
190 views

Joint distribution from multiple marginals

Consider an experiment consisting of a repeated trial with two random Bernoulli (=binary) variables, A and B. Each trial consists of multiple outcomes for both A and B. Each trial has the same number ...
0
votes
1answer
131 views

a function of Bernoulli variables?

Let $X_1,X_2,...,X_n$ be a fixed number of Bernoulli random variables. My problem is to find a distribution for $Y$ such that for some function $f$, we have $Y=f(X_1,X_2,...,X_n)$. There are two ...
-1
votes
1answer
328 views

Rigorous proof of the duality of Coupon collector's problem and Occupancy problem

We have $k$ different types of coupons (with replacement).If we collect at least $l$ different coupons, we win a prize. We can only afford to collect $m$ coupons. Let's say we take all those $m$ ...
4
votes
1answer
130 views

Mean occurrences of letters in complete strings given by a Bernoulli scheme

Suppose one has an alphabet of $K$ letters, from which we draw sequentially letters; assume that the $n$-th letter occurs with a fixed probability $p_n$ independently of the others and of the previous ...
1
vote
1answer
1k views

Generating Bernoulli Correlated Random Variables with Space Decaying Correlations

Hi, I have a set of N objects randomly distributed in a 2D physical space. Each object (i) generates a bernoulli random number (0 or 1) based on a marginal probability Pr(xi = 1) = p. These objects a ...
1
vote
1answer
133 views

References for Poisson and Lexis trials

I have been trying to find more information on Poisson and Lexis trials (generalizations of Bernoulli trials), but I have failed to find anything outside of MathWorld (I went through a number of ...
1
vote
3answers
450 views

When do binomial distributions occur?

A binomial distribution is the distribution of the number of successes of n independent, identical Bernoulli trials. What happens when the trials are dependent and the Bernoulli trials are not ...