# Appendix a to applied probability: directory of m-functions and m  (Page 10/24)

 Page 10 / 24

ipoisson.m Poisson distribution — individual terms. As in the case of the binomial distribution, we have an m-function for the individualterms and one for the cumulative case. The m-functions ipoisson and cpoisson use a computational strategy similar to that used for the binomial case. Not only does this workfor large μ , but the precision is at least as good as that for the binomial m-functions. Experience indicates that the m-functions are good for $\mu \le 700$ . They breaks down at about 710, largely because of limitations of the MATLAB exponentialfunction. For individual terms, function y = ipoisson(mu,k) calculates the probabilities for $mu$ a positive integer, k a row or column vector of nonnegative integers. The output is a row vector of the corresponding Poisson probabilities.

function y = ipoisson(mu,k) % IPOISSON y = ipoisson(mu,k) Individual Poisson probabilities% Version of 10/15/93 % mu = mean value% k may be a row or column vector of integer values % y = P(X = k) (a row vector of probabilities)K = max(k); p = exp(-mu)*cumprod([1 mu*ones(1,K)]./[1 1:K]);y = p(k+1);

cpoisson.m Poisson distribution—cumulative terms. function y = cpoisson(mu,k) , calculates $P\left(X\ge k\right)$ , where k may be a row or a column vector of nonnegative integers. The output is a row vector of the corresponding probabilities.

function y = cpoisson(mu,k) % CPOISSON y = cpoisson(mu,k) Cumulative Poisson probabilities% Version of 10/15/93 % mu = mean value mu% k may be a row or column vector of integer values % y = P(X>= k) (a row vector of probabilities) K = max(k);p = exp(-mu)*cumprod([1 mu*ones(1,K)]./[1 1:K]); pc = [1 1 - cumsum(p)]; y = pc(k+1);

nbinom.m Negative binomial — function y = nbinom(m, p, k) calculates the probability that the m th success in a Bernoulli sequence occurs on the k th trial.

function y = nbinom(m, p, k) % NBINOM y = nbinom(m, p, k) Negative binomial probabilities% Version of 12/10/92 % Probability the mth success occurs on the kth trial% m a positive integer; p a probability % k a matrix of integers greater than or equal to m% y = P(X=k) (a matrix of the same dimensions as k) q = 1 - p;y = ((p^m)/gamma(m)).*(q.^(k - m)).*gamma(k)./gamma(k - m + 1);

gaussian.m function y = gaussian(m, v, t) calculates the Gaussian (Normal) distribution function for mean value m , variance v , and matrix t of values. The result $y=P\left(X\le t\right)$ is a matrix of the same dimensions as t .

function y = gaussian(m,v,t) % GAUSSIAN y = gaussian(m,v,t) Gaussian distribution function% Version of 11/18/92 % Distribution function for X ~ N(m, v)% m = mean, v = variance % t is a matrix of evaluation points% y = P(X<=t) (a matrix of the same dimensions as t) u = (t - m)./sqrt(2*v);if u>= 0 y = 0.5*(erf(u) + 1);else y = 0.5*erfc(-u);end

gaussdensity.m function y = gaussdensity(m,v,t) calculates the Gaussian density function ${f}_{X}\left(t\right)$ for mean value m , variance t , and matrix t of values.

function y = gaussdensity(m,v,t) % GAUSSDENSITY y = gaussdensity(m,v,t) Gaussian density% Version of 2/8/96 % m = mean, v = variance% t is a matrix of evaluation points y = exp(-((t-m).^2)/(2*v))/sqrt(v*2*pi);

I only see partial conversation and what's the question here!
what about nanotechnology for water purification
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive