# Tagged Questions

The geometric distribution is a discrete (count) distribution, where the probability of each count is a constant proportion of the next lower count. An example is 'the number of coin tosses until the first head'.

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### Fitting data to binomial or bernoulli distributions

I'm trying to fit a count variable to discrete distribution, poisson and negative binomial are not the best candidate to my data since i have only 3 possible values: 0,1 or 2 (sometimes 2) . Can ...
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### Finding unbiased estimator of function of p from a geometric distribution

Let $X_1$ and $X_2$ be a random sample from the geometric distribution with $Pr(X_i=j)=p(1-p)^{j-1}$ for $i = 1, 2$, $j = 1, 2, \ldots$ and $0<p<1$. Which statistics $T(X)$ could be an unbiased ...
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### Unbiased estimate of a geometric random variable

A coin for which the probability of heads showing up on tossing it is $p$ is tossed $15$ times.The first head appeared in the 3rd toss and 6 heads showed up in $15$ tosses,what are the unbiased ...
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### Robust estimation of a geometric random variable

I have a bunch of data which is assumed to be instances of a geometric random variable with outliers. How can I do a robust estimation of the parameter $p$ so that the effect of outliers is minimized? ...
On an attempt to solve this problem I've managed to reduce it to finding the expected number of white balls picked until one black ball is observed (let's call that value $v$). Except that, unlike the ...
Which distribution fits the following data? Data are generated by the process: $X_t, \, t=\{1,2,3,\ldots,n\}$ is equal 1 with probability $p$, and 0 with probability $(1-p)$ for each $t$. What is ...