1
vote
0answers
51 views

Pooling asymmetric confidence intervals for proportions?

I have several measurements of proportions (values in [0, 1]) $\theta_1,...,\theta_n$, each with an (asymmetric) 95% confidence interval. The $\theta$'s are repeated measurements of the same variable ...
1
vote
0answers
50 views

Estimating population size and a proportion

I am interested in the following sampling problem, which I will try to describe by a motivating example. Suppose we want to estimate how many people in a certain area, has blue eyes, how many have ...
6
votes
1answer
106 views

Estimating an underlying pdf from binomial trials

I'm afraid I'm not an expert in statistics, but I have a particular problem I'm interested in solving. I'm pretty sure this area already has a lot of literature, but I'm having difficulty finding ...
3
votes
2answers
194 views

Sorting answers, given overvotes and undervotes

At many question-and-answer sites, like StackExchange, people can upvote or downvote each answer. These sites also typically try to use the votes to sort answers, so the answers that are most likely ...
1
vote
2answers
158 views

Estimators for Bernoulli trials

I have failure data for an experience over $T$ years: at the beginning of each year I have $n_t$ subjects and $d_t$ of these subjects experience a "failure" at the end of the year. Now if I assume ...
0
votes
2answers
512 views

Estimator for a binomial distribution

How do we define an estimator for data coming from a binomial distribution? For bernoulli I can think of an estimator estimating a parameter p, but for binomial I can't see what parameters to estimate ...
2
votes
1answer
72 views

Estimating variability of unseen factor

I'm looking at binomial data where I believe that the probability of the outcome is the product of two independent factors. If you think of it as a two step decision, At the first step, there is a ...
5
votes
1answer
419 views

Estimation of probability of a success in binomial distribution

Let's say we have two biased coins. The probability of tossing a head on the first coin is $\alpha$ and the probability of tossing a head on the second coin is $1-\alpha$. We toss both coins $n$ times ...