The tag has no wiki summary.

learn more… | top users | synonyms

-1
votes
0answers
19 views

Applications of Bernoulli and Poisson Processes [on hold]

I need to answer a few questions in a test but as you can see by the answers, I'm quite lost, these are the possible questions. If someone could help or clarify the concepts it would be great, thanks. ...
1
vote
0answers
173 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
130 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
325 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
128 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
2answers
128 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
445 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 ...