# Questions tagged [exponential-distribution]

A distribution describing the time between events in a Poisson process; a continuous analogue of the geometric distribution.

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### Write the PDF of an exponential prior given E[$\theta$] = 2

I am reviewing old exercise solutions and the following info is given: Assume that the conjugate prior for θ (as a special case of the gamma distribution) is following the exponential distribution ...
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### Find pdf of X+Y [duplicate]

Let X ∼ Exp(λ) and Y ∼ Exp(μ) be two independent exponential random variables, where λ, μ > 0. Find the probability density function of X + Y if λ ̸= μ. I have successfully find ans if λ = μ, but ...
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### What Explains the Behavior of these Graphs?

I thought of the following experiment: Suppose we generate a single random number from a normal distribution (with a specific mean and specific standard deviation), we then take the difference of this ...
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### What are the operational links between exponential and weibull distribution

I recently read a very interesting article about competing risks that came with simulations. In these, the author defines a Weibull distributed variable w using an ...
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### Sum of exponential decays with normally distributed lifetimes

If I have the sum $$f(t)=\frac{1}{N}\sum_{i=1}^N e^{-\frac{t}{\tau_i}}$$ where each $\tau_i$ is distributed normally with mean $\tau$, what will be the mean functional form of $f(t)$ in the large $N$ ...
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