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Math Help - help with plotting curve

  1. #1
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    help with plotting curve

    Hi everyone. Have a bit of a mathís problem. It has a statistical context but thought it would be best to post here. I wonít put this problem into context initially just to give you a better idea of my problem (donít think the actual formulas make much difference).

    I want to plot a curve (y against x), say y=f(x) - where x=g(a), a=h(y) (i.e. there is a loop). I understand there is no way of writing this out explicitly but is there any way of plotting this curve maybe based on iteration or something similar to that. I am open to any suggestions, even those that involve simply finding individual points and connecting them or some sort of approximation. If you have something to contribution but are confused by below please contribute anyway.

    Please see attachment for actual formulas
    Attached Files Attached Files
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  2. #2
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    Quote Originally Posted by deanj2k View Post
    Hi everyone. Have a bit of a mathís problem. It has a statistical context but thought it would be best to post here. I wonít put this problem into context initially just to give you a better idea of my problem (donít think the actual formulas make much difference).

    I want to plot a curve (y against x), say y=f(x) - where x=g(a), a=h(y) (i.e. there is a loop). I understand there is no way of writing this out explicitly but is there any way of plotting this curve maybe based on iteration or something similar to that. I am open to any suggestions, even those that involve simply finding individual points and connecting them or some sort of approximation. If you have something to contribution but are confused by below please contribute anyway.

    Please see attachment for actual formulas
    What you have are parametric equations.

    Perhaps read these:

    Parametric Equations

    S-Cool | Parametric equations

    Simple Graph(Parametric Function)

    free plot parametric function graph download
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  3. #3
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    Quote Originally Posted by deanj2k View Post
    Hi everyone. Have a bit of a mathís problem. It has a statistical context but thought it would be best to post here. I wonít put this problem into context initially just to give you a better idea of my problem (donít think the actual formulas make much difference).

    I want to plot a curve (y against x), say y=f(x) - where x=g(a), a=h(y) (i.e. there is a loop). I understand there is no way of writing this out explicitly but is there any way of plotting this curve maybe based on iteration or something similar to that. I am open to any suggestions, even those that involve simply finding individual points and connecting them or some sort of approximation. If you have something to contribution but are confused by below please contribute anyway.

    Please see attachment for actual formulas
    What's theta-hat? Also, seems you'd need to have a list of w_i to do the calculations. I can try to code it in Mathematica if you post some data and explain the theta-hat expression.
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