Items tagged with poisson

I wish to study the trend of medical consultations each day during six years. Thus I expect near 2200 datas to analyse.

But some parameters are to consider :

- I don't have yet the datas per day, but the mean is about 2 consultations per day

- as it is difficult to do more than 3 or perhaps 4 consultations during one day (9h30 am - 13h pm), the others if they exist will probably be seen the next day (aso if the next day 3 news consultations occured)

- then, I don't know actually (as I expect the datas or each day but don't have now these datas) if the better distribution will be simply follow a Poisson' law, or exponential, or negative binomial, ..

- do someone have a clue for the better law given what i said ?


Further, I don't have a stastic program especially used for time trend, excepting Systran 13, but I don't believe that this program can be used with a theoric model of distribution, I recall that it does usual tasks, autocorrelations, saisonnal adjustments, .. but with continuous distributions I believe, and a linear model (removing the basic frequencies)

As such program (study of temporal series) is usually sold about 3000$ in France, that I don't expect to be a trader, with only one calculus to do, could anyone tell me how to adjust the better model to the 2200 datas that could be expected ?

Thx for your help, friendly yours;



Hi, I'm trying to reproduce the code book Burden Faires (Poisson Equation Finite-Difference. Buden Faires book Numerical Analysis 9th) page 720, algorithm 12.1., But I do not get the exact calculations of Example 2 from page 722. Under the code in maple. Regards.


Comment calculer, sous maple, le crochet de Poisson des deux fonctions suivantes :




Merci d'avance,


I have a bit of an issue.


I'm trying to solve this:

eq1:= exp(-lambda)*exp(k)/factorial(k) > .95



Warning, solutions may have been lost

Dear Maple users,

Is there a way to describe derivatives treated as binary operators in infix notation, in which the derivatives is applied either to the left or right operands. This is useful, for example, when defining generalizations of the Poisson bracket. For a pair of functions f and g, the left and right derivatives are respectively defined as

Dear Maple users

This might have been asked before, I'm asking because I believe the solution to my problem is simpler than what i found on google.

I have this problem:


Dear All,


I have a question related to Modulated Markov Rate Process (MMRP). Please see MMRP and here. For more information see this

In this kind of markov chain it is necessary to have ON and OFF state that separte by a exponential distribution. Also the number of items as mentioned in the figures has a...

I wonder how do I show with Maple that for


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...

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