Questions tagged [bernoulli-distribution]

The Bernoulli distribution is a discrete distribution parametrized by a single "success" probability. It is a special case of the binomial distribution.

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Combined confidence of hit/miss results from 20 different test subjects

I'm a computer science student and statistics isn't my strong suite. I would appreciate some help. I did a task performance experiment for my Master's thesis to validate my "special secret algorithm"....
79 views

Composite random variables and sufficiency

I wish to find a sufficient statistic for a composite random variable ... Suppose $Z$ is Bernoulli$(p)$ and let X|Z=z\sim\begin{cases} N(0,1) & \text{if }z=1\\ E(\lambda)& \...
253 views

can you analytically solve this bayesian hierarchical model - bernoulli trials

Is it possible to analytically solve (i.e., use a conjugate prior) the hierarchical model shown in the image below to obtain the posterior distribution. The data are composed of bernouli trials ...
257 views

What do I need to know about Bernoulli distributions to build a Naive Bayesian classifier?

I'm building a naive bayesian classifier for a binary classification. Right now I have an estimator for Bernoulli distributions, and real distributions (using a kernel mixture distribution). I can ...
436 views

Wilson's confidence interval for standard deviation?

I have a a set of films, and for each films, a set of reviews - varying between 1 review and several hundred reviews for each film. Each review has a star rating from 1 to 5. I am using Wilson's ...
570 views

Sufficient estimator for Bernoulli distribution using the likelihood function theorem for sufficiency

Let $(X_1,X_2)$ be a random sample of two iid random variables, $X_1\sim Ber(\theta),\theta\in (0,1)$. Use the following theorem to show that $\hat{\theta}=X_1+2X_2$ is sufficient. Likelihood theorem ...
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Binomial; Independent Distribution [closed]

Please advise on the solution to the following questions below. I understand number one. However, I'm having trouble with 2 and 3. Thank you!
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Binomial distribution vs. Discrete uniform distribution. vs. randomly selecting

I have an array of $n$ non-negative integers where each element can be randomly (uniformly) selected with repetitions from all the integers between 0 and $m$ (with $m>n$). So the probability of ...
392 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 ...