# 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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### Bernoulli process and two exponentials

Suppose that a very long Bernoulli process gives a sequence with possible values: $A$ with probability $p$, and $B$ with probability $1-p$. The expected fraction of contiguous sequences of length $k$ ...
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### CLT application to exponential distribution? [duplicate]

I'm a little confused how the CLT can apply to aggregations of the exponential distribution. It's my understanding that the CLT says, in plain English, "sample means from virtually any ...
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### Calculating Average Days Between Customer Orders - Exponential Distribution?

I have detailed sales data including customer number, SKU, product line, and order date. For marketing purposes, I would like to know the average days between orders both on a per-customer, per ...
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### What is area under cumulative distribution represent? [duplicate]

Exponential distribution has following probability density function which explains the curvature of a line (For simplicity I am just going to work with x>=0): f(x) = lambda e^{-lambda*x} to find ...
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### When can taking the following transformation of data $log_{10}(e^{mean(log(x))})$ be useful?

I wished to transform some data and have noticed that the geometric mean is a known transformation to normalise data with high differences in comparably large values relative to lower values. However, ...
### Consistency of $f( x| \theta ) = \exp(-(x- \theta ))$
Prove that the second smallest observation in a random sample of size n from following pdf is consistent estimator of $\theta$ $$f( x| \theta ) = \exp(-(x- \theta )) , \qquad x > \theta$$ ...