Does anyone know a probability distribution with the following characteristics:
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
A pdf that satisfies your criteria (the Logistic distribution) can be found here: Logistic distribution - Wikipedia, the free encyclopedia
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!