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- Dec 12th 2008, 02:12 PM #1

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## Looking for a PDF

Hello,

Does anyone know a probability distribution with the following characteristics:

Univariate

With only one parameter

Supported over the real line (-8,+8)

The expected value can be any real number

...?

For example, the Exponential distribution has all these characteristics but the support over the real line...

Thx a lot

- Dec 13th 2008, 02:34 AM #2

- Dec 15th 2008, 05:34 PM #3

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- Dec 15th 2008, 08:02 PM #4
No use being impatient when the delay is your own making.

A pdf that satisfies your criteria (the Logistic distribution) can be found here: Logistic distribution - Wikipedia, the free encyclopedia

- Dec 16th 2008, 01:20 PM #5

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- Dec 16th 2008, 03:27 PM #6

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- Dec 18th 2008, 02:50 PM #7

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## Txs a lot...

but I'd appreciate some more help...

The t distribution would not work for me because the one-parameter version is centered at 0, and cannot take any real value as Expected value...

I had thought of the log-exponential distribution. But the thing with it is that its expected value is ridiculously difficult to express... and untractable for all practical purposes...

You are right, the log-exponential fits my requirements... but I want to ask for help again to find__another__distribution that fits my requirements, but with a tractable expression for the expected value.

Sorry for being a pain! but I'll appreciate any help!

- Dec 18th 2008, 03:35 PM #8

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