How can I plot this function in R? I am not sure how to express this function.
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1this is not trivial. If you want to plot it as a function of nu, you need to (1) define a function that computes the inner values as a function of b and nu; (2) use `optimize()` to compute the argmin; (3) repeat for a series of values of nu. Can you tell us a little bit more of the context of where this problem arose? – Ben Bolker Sep 06 '21 at 18:00
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Thank you Ben for your response. This question is trying to figure out if there is an extreama of this data. I thought I'd plot it first which would help me to see, supposed v>0, step size of 0.2, the initial value of 3. – VXL963 Sep 06 '21 at 18:24
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The function is a Student's t pdf, R function dt. But argmin would be + or - Inf. I don't understand how that's interesting. – Brian Montgomery Sep 06 '21 at 21:54
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@BrianMontgomery Thank you for pointing the infinity issue out. I was trying to figure out why gradient descent would not be able to find an extrema by plotting it. But I was not aware this is the student t-distribution pdf. – VXL963 Sep 07 '21 at 00:28