Hello, sorry for the delay, but i need to ask you something, the integral from v/2 to v , can i solve it as:https://wikimedia.org/api/rest_v1/media/math/render/svg/c3221b60dd5db844ea4835922394ea7cd1b1cb35 ?? from : https://en.wikipedia.org/wiki/Incomplete_gamma_function, under the topic...
I'm trying to plot the probability of error for the following equation using Matlab software, i want to use the command "trapz" for the numerical integration, the problem is that i get a fine shape for the plot, but the values in the y-axis are wrong, the whole curve should be between 0 and 1.2...
ok,
about the series, i tried to replace the term (1/(1+z/v))^n by its series representation which is the binomial coefficient http://mathworld.wolfram.com/BinomialCoefficient.html, please see (8), and i did the same for the other term, which is(1/(.5+z/v))^q, and then i continued with the...
before thinking of numerical integration, i wanted to plot the function vs v, since for sure the variable "z" is no longer available, is this changes if it is a numerical integration?
Fine, i will try it now, i have a question, can we plot the result of the numerical integration? i need to plot the function, it is more important than finding the result.
I've already tried the binomial coefficient replacement you suggested, and tried to plot it and the plot was so wrong! can i ask why? if the binomial coefficient is correct and I'm pretty sure that the derivation is correct, why am i getting wrong output? what is wrong about this binomial...
Homework Statement
I'm trying to find the value of the integration:
Homework Equations
Mod note: Edited the TeX to render properly at this site.
Here is the integration written using MAketex:
##\frac{.5}{\sqrt{\pi}}\int_0^{\infty}\exp(-z(1+1.5/v))z^{L-.5} \frac{1}{(\frac{z}{v}+1)^n...
I started from here https://www.physicsforums.com/threads/sum-of-noncentral-chi-square-rvs.374004/ , a homework helper "statdad" has suggested the method and i followed him, i did find the CF of the multiplication of the RV's CF, i just need to know how to continue.
Okay..but after we find the characteristic function or the MGF of their product...what does the resulted formula indicates? That's what i need to know...how is this formula related to the pdf of the sum of these random variables?
I'm new to this and I'm learning the basics now. In addition, i have noticed someone who suggested to start with the characteristic function.Can you give the way to do it using the MGF?
Homework Statement
I need to find the pdf of sum of "n" iid non central chi-square distributed RV's.
Homework Equations
The PDF of the non-central chi-square RV is given herehttps://en.wikipedia.org/wiki/Noncentral_chi-squared_distribution
The Attempt at a Solution
i tried to find the...