Statistics package seems to be not very good for that. In particular, the samples can not be produced that way,

Sample(R,10);
Error, (in Statistics:-Sample) unable to evaluate 
    undefined to floating-point

Alec

Statistics package seems to be not very good for that. In particular, the samples can not be produced that way,

Sample(R,10);
Error, (in Statistics:-Sample) unable to evaluate 
    undefined to floating-point

Alec

Yes, but only the last formula (that I suggested above), including the Dirac function is correct. The piecewise expression doesn't satisfy such fundamental PDF property that the integral of it from -infinity to infinity is 1. The term with Dirac(x+10) is needed to correct that.

Alec

Yes, but only the last formula (that I suggested above), including the Dirac function is correct. The piecewise expression doesn't satisfy such fundamental PDF property that the integral of it from -infinity to infinity is 1. The term with Dirac(x+10) is needed to correct that.

Alec

Also not - the approximations of the A*Dirac(x+Stop) look different - in addition to the Maple help page about Dirac, which is wrong in many aspects, you mignt google for Dirac delta. Wikipedia has some plots.

Alec

Also not - the approximations of the A*Dirac(x+Stop) look different - in addition to the Maple help page about Dirac, which is wrong in many aspects, you mignt google for Dirac delta. Wikipedia has some plots.

Alec

Marcus,

That piecewise formula that you wrote, is wrong at X=Stop, The CDF has a jump at x=Stop, and a PDF is a (generalized) derivative of a CDF. If the PDF was a function, it would be infinity at that point. However, the PDF is not a function - it is a distribution, containing term with A*Dirac(x+Stop).

Maple draws plots by evaluating expressions in several points and then connecting the points, and it misses the value at x=Stop, so Maple's plot at x=Stop is wrong.

Alec

Marcus,

That piecewise formula that you wrote, is wrong at X=Stop, The CDF has a jump at x=Stop, and a PDF is a (generalized) derivative of a CDF. If the PDF was a function, it would be infinity at that point. However, the PDF is not a function - it is a distribution, containing term with A*Dirac(x+Stop).

Maple draws plots by evaluating expressions in several points and then connecting the points, and it misses the value at x=Stop, so Maple's plot at x=Stop is wrong.

Alec

Some operations are parallelized and some are not. It looks as if the operations in your code were not parallelized.

Alec

Some operations are parallelized and some are not. It looks as if the operations in your code were not parallelized.

Alec

You could also restart Windows. Without that, the new environmental variables may not work.

Alec

You could also restart Windows. Without that, the new environmental variables may not work.

Alec

Thank you,

Alec

Since the Determinant in Standard Maple is already implemented using the sign otherwise used for absolute value, is it planned (or already implemented) using 2 vertical lines (close to each other) for Norm?

Alec

Thank you for doing that. Such posts are the most interesting, at least for me.

Alec Mihailovs