New answers tagged binomial-distribution
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what is the difference between these two expressions
Usually none, since you can simply flip the sign on your coefficient.
There is a difference of course if during model fitting you constrain your parameter to be (say) nonnegative. Or if you regularize ...
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Joint and conditional probability with Poisson and Binomial distributions
Simple and short
I started below with some long computation starting from your erroneous $P(X \ge 3, Y \ge 1)$. Trying to make an intuitive interpretation of the end result it made me realize that we ...
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What exactly is likelihood?
Let $f_\theta$ be the probability (mass or density) distribution function of a random variable $X$, which depends on some given parameter $\theta$ then you can write:
$$
f_\theta(x)= f_\theta(x | \...
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Accepted
What exactly is likelihood?
Let $X$ be a random variable, specifically a continuous random variable. If $x$ is a specific value that $X$ can output then the probability that $X = x$ actually happens with probability zero.
So it ...
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Joint and conditional probability with Poisson and Binomial distributions
This problem has its roots on compound Poisson process. The correct way of approaching it is to express the number of boys $X$ in a household as
\begin{align*}
X = D_1 + \cdots + D_N,
\end{align*}
...
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What exactly is likelihood?
Basically, likelihood of given model (defined by specific parameters and their values) is defined as probability of observing the data under the given model. In other words, we have some observed data ...
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