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Math Help - what is this nonlinear function

  1. #1
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    what is this nonlinear function

    Hi everyone
    I am trying to fit a nonlinear function to many simulated data sets all with the same basic structure. I've little experience with nonlinear models though, so would appreciate some advice. The function I need must meet the criteria below, and what I am most interested in is the value of Y at X=0.

    Model characteristics should be as follows. (Will also attach a graphic of possible examples)
    1. I'm predicting Y (continuous variable) from a single continuous predictor (X).
    2. All X values are greater than or equal to 0
    3. All Y values are proportions, so constrained between 0 and 1.
    4. Where X=0, Y is NOT constrained to a value of Y=0, in fact this would be very unlikely in my data.
    5. The slope of the function is greatest at X=0 and declines monotonically to 0 as X increases and Y approaches 1.

    Thanks for any suggestions
    Attached Thumbnails Attached Thumbnails what is this nonlinear function-examples.jpg  
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  2. #2
    Super Member
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    Re: what is this nonlinear function

    Y=1-ae^{-bX}, a(\leq1) and b(>0) constants seems to be an obvious first choice.
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