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Dear Maple Users

Let the density of electronic states be denoted

I want to create a package, lets call it Accellib. I want to be able to load it using the usual with(Accellib); construct.

So I have created a module, included the option package and right now one procedure, the name of which is exported. Within the worksheet; this works. This package will grow as more stuff gets added. I want to put it into a directory of my choice, which is NOT the directory where Maple stores the packages from its distribution; I like to keep them...

Want create my own geometric distribution with rather only natural values i.e. without zero:

c:=Distribution(PDF=(t->PDF(Geometric(p),t-1)));
But such form is luck to calculate even Mean value:

simplify(Mean(c)) fails. How to apply to get even Mean(F(c)) for complicated enough F?

What indets should be to return from next form b only:

Distribution(PDF = (x->Dirac(x-b)))

indets(Distribution(PDF = (x->Dirac(x-b))),name); wrong

Hi,

My question is fairly straight-forward, I hope someone has an equally straight-forward solution. I would like to be able to illustrate the convergence of the distribution on the mean of i.i.d random variables to the normal distribution. For example, I'd like to visualize (by way of a histogram plot) that as n increases arbitrarily, the mean of n i.i.d. exponential random variables with mean 10 converges to a normal distribution.

Thanks!

How to do this with Maple? Is it possible?

http://www.mapleprimes.com/ViewTemp.ashx?f=5794_1319135560/poissonHRI-1.jpg

Gracias

Is there a way to change the default settings for ArrayTools[RandomArray](distribution= )  ?

There are two distribution values available uniform, which is on the unit interval and normal which draws from a normal distribution on the unit interval. 

Can we modify those settings?  Such that using distribution=uniform (or normal) is forced to some user setting outside the unit interval?

I want to plot a random ... no, sorry, normal distribution of points around a line.  Let's supose we use the line sin(x) from x=0..2*Pi as an example. 

Hi,

How does one implement the multinomial probabiility distribution in Maple? If it's not available in Maple, what would be an easy way to define one?

Thank!

Hi, 

I am relatively new to Maple and I am seeking an efficient way to create a probability histogram for a discrete probability distribution. For example,

x:      1     3   5    7

p(x): 1/8 1/4 1/2 1/8

I would like rectangles with height corresponding to the probabilities with bases centered at each x value, allowing for the possibility of gaps in the distribtuion.

I want to do a Monte Carlo study with the following probability distribution:

P(X=x):=(x-1)*q^(x-2)*(p^2+(2*(1-p-q))*p)+binomial(x-1, x-3)*q^(x-3)*((1-p-q)^3+(1-p-q)^2*p);

with x = 2. 3, ... infinity and parameters p and q with 0 < p+q < 1. For the Monte Carlo study I ave to generate samples with specified values of p and q. For this I have yo do something similar to:

use Statistics in T:=[1/2,0,0,0,0,0,1/2];

d:=Distribution(ProbabilityTable(T));

Dear All Members;

In my research I faced with this problem and I appreciate if any of you specialists be able to help me in this issue. I brought the question here:

question.pdf

Please let me know that is it possible to finde this derivative of Bi-variate Normal distribution in Maple? If yes, could you please help me to do this?

Sincerely; 

Dear all, 

I have two questions regarding truncated normal distribution.

1. Is there a convenient way in Maple to compute and plot the density function of a truncated normal distribution? I know that in Maple, after creating a random variable, I can use the function Statistics:-PDF to compute the density function, and use DensityPlot to draw the function. But for truncated distribution, I have to compute it manually by doing integration to compute the normalized...

I'm trying to create Skewed Normal distribution with the following PDF

I'm using the following command for that (referenced from http://en.wikipedia.org/wiki/Skew_normal_distribution

I wonder how do I show with Maple that for

p:=(x,a,b)->a*(a+x*b)^(x-1)*(exp(-(a+x*b)))/(x!);

the series

sum(p(x,a,b),x=0..infinity) assuming a>0,b<1,b>-1

converges to 1. I also tried

sum(a*(a+x*b)^(x-1)*(exp(-(a+x*b)))/(x!), x=m..infinity) assuming a>0,b<1,b>-1,a+m*b<=0

but all to no avail. For b=0, Maple shows the series converges and we have the Poisson distribution. For b in (-1,1), the (discrete) density...