# Tagged Questions

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### How to get exact distribution of estimated p for binomial distribution?

This question is kind of a follow up of another question I had: Asymptotic normal distribution via the central limit theorem There I had to calculate the estimator for $p$ (meaning $p$ for success) ...
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### Single sample versus multiple sample

I have a jar with white and black balls. Total number of balls in the jar is 100000. I want to estimate the proportion of white balls. My constraint is that the sample size for estimation should be ...
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### Estimating the overall success rate of 2 binomial processes using samples

Lets assume we have a sample (success_sample1, trials_sample1) from a single binomial process with unknown success rate and we want to know if the real success probability is larger than p_required. ...
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### Do the commands logit and glm (Binomial family) in Stata use different fitting/estimation algorithm?

In my mind, the commands logit and glm (Binomial family) in Stata both use maximum ...
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### 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 ...
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### 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 ...
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### 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 ...
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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 ...
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### 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 ...
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### 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 ...
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 ...