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user9072
user9072
Post Closed as "too localized" by Robin Chapman, Charles Siegel, Andrew Stacey, S. Carnahan♦, Gjergji Zaimi
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Paulo Andrade
Paulo Andrade
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I am looking for a Continuous Probability Density Function defined in the interval (0, 1) in which the Mean is always in the shorter tail. I define that the Mode divides the PDF into two tailsLet me clarify my needs.

As an example of a PDF that does not fulfill the above requirement is the Beta The PDF. Another is the Triangular Distribution. must comply to:

Thanks for any suggestion.

  1. The mean is always in the shorter tail
  2. Should have an inverse function
  3. Be defined in the interval [0, 1]
  4. Should have a shape parameter that allows the choice of the distance between the Mode and the Mean
  5. 1st derivative must be continuous And, if it is a common use function the better

I am looking for a Continuous Probability Density Function defined in the interval (0, 1) in which the Mean is always in the shorter tail. I define that the Mode divides the PDF into two tails.

As an example of a PDF that does not fulfill the above requirement is the Beta PDF. Another is the Triangular Distribution.

Thanks for any suggestion.

Let me clarify my needs. The PDF must comply to:

  1. The mean is always in the shorter tail
  2. Should have an inverse function
  3. Be defined in the interval [0, 1]
  4. Should have a shape parameter that allows the choice of the distance between the Mode and the Mean
  5. 1st derivative must be continuous And, if it is a common use function the better
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Paulo Andrade
Paulo Andrade
  • 1
  • 1

Probability distribution needed

I am looking for a Continuous Probability Density Function defined in the interval (0, 1) in which the Mean is always in the shorter tail. I define that the Mode divides the PDF into two tails.

As an example of a PDF that does not fulfill the above requirement is the Beta PDF. Another is the Triangular Distribution.

Thanks for any suggestion.