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MaplePrimes Activity

These are questions asked by Scimann

LF1 and LF2 return quite different numbers, and only that of LF2 agrees with theoretical results and computations done with other packages. What do I do wrong, or how do I optimise correctly, only knowing that p in (0,1) and lambda >0? Is there anything more appropriate than NLPSolve?

I was trying to extend these ideas to compute the ratio distribution function of two r.v.'s, something along these lines. So how do I do that with Maple, say for the ratio of two independent zero-trancated Geometrical r.v.'s? Or how do I obtain with Maple the distribution of the reciprocal of such a random variable?Thanks.

What's the standard (or a cool non-standard)  way to compute the expected value of a matrix, e.g., a covariance matrix? Using this code:

restart; with(LinearAlgebra): e1 := Statistics:-RandomVariable(Normal(0, sigma)); L := [seq(e1*cos(pi*t), t = 1 .. 3)]; convert(L, Matrix); Transpose(convert(L, Matrix)); M := Multiply(%, %%); S := map(Statistics:-Mean, M)

how do I simplify S to the matrix of +/- one's and factor out sigma^2 outside the matrix? Thanks. 


How do I use ProbabilityTable so that the first element in P denotes the probability of zero, and not one? That is I have three states: 0,1, and 2, and I want them be an immediate output of my Sample. Thanks.

P:= [1/2,1/8,3/8];
X:= RandomVariable(ProbabilityTable(P));
ProbabilityFunction(X, 0);
Sample(X, 10);

How do I get expressions 2.3 to 2.5 from this old paper: with maple? What is the standard (or otherwise) way to compute (symbolically)  this sort of thing with Maple, e.g., using intersect, assuming?  Nothing seems to work for me. Thanks.

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