# Appendix a to applied probability: directory of m-functions and m  (Page 14/24)

 Page 14 / 24

jcalcf.m function [x,y,t,u,px,py,p] = jcalcf(X,Y,P) is a function version of jcalc, which allows arbitrary naming of variables.

function [x,y,t,u,px,py,p] = jcalcf(X,Y,P)% JCALCF [x,y,t,u,px,py,p] = jcalcf(X,Y,P) Function version of jcalc% Version of 5/3/95 % Allows arbitrary naming of variablesif sum(size(P) ~= [length(Y) length(X)])>0 error(' Incompatible vector sizes')end x = X;y = Y; p = P;px = sum(P); py = fliplr(sum(P'));[t,u] = meshgrid(X,fliplr(Y));

jointzw.m Sets up joint distribution for $Z=g\left(X,Y\right)$ and $W=h\left(X,Y\right)$ and provides calculating matrices as in jcalc. Inputs are $P,X$ , and Y as well as array expressions for $g\left(t,u\right)$ and $h\left(t,u\right)$ . Outputs are matrices $Z,W,PZW$ for the joint distribution, marginal probabilities $PZ,PW$ , and the calculating matrices $v,w$ .

% JOINTZW file jointzw.m Joint dbn for two functions of (X,Y) % Version of 4/29/97% Obtains joint distribution for % Z = g(X,Y) and W = h(X,Y)% Inputs P, X, and Y as well as array % expressions for g(t,u) and h(t,u)P = input('Enter joint prob for (X,Y) '); X = input('Enter values for X ');Y = input('Enter values for Y '); [t,u]= meshgrid(X,fliplr(Y)); G = input('Enter expression for g(t,u) ');H = input('Enter expression for h(t,u) '); [Z,PZ]= csort(G,P); [W,PW]= csort(H,P); r = length(W);c = length(Z); PZW = zeros(r,c);for i = 1:r for j = 1:ca = find((G==Z(j))&(H==W(i))); if ~isempty(a)PZW(i,j) = total(P(a)); endend endPZW = flipud(PZW); [v,w]= meshgrid(Z,fliplr(W)); if (G==t)&(H==u) disp(' ')disp(' Note: Z = X and W = Y') disp(' ')elseif G==t disp(' ')disp(' Note: Z = X') disp(' ')elseif H==u disp(' ')disp(' Note: W = Y') disp(' ')end disp('Use array operations on Z, W, PZ, PW, v, w, PZW')

jdtest.m Tests a joint probability matrix P for negative entries and unit total probability..

function y = jdtest(P) % JDTEST y = jdtest(P) Tests P for unit total and negative elements% Version of 10/8/93 M = min(min(P));S = sum(sum(P));if M<0 y = 'Negative entries';elseif abs(1 - S)>1e-7 y = 'Probabilities do not sum to one';else y = 'P is a valid distribution';end

## Setup for general random variables

tappr.m Uses the density function to set up a discrete approximation to the distribution for absolutely continuous random variable X .

% TAPPR file tappr.m Discrete approximation to ac random variable % Version of 4/16/94% Sets up discrete approximation to distribution for % absolutely continuous random variable X% Density is entered as a function of t r = input('Enter matrix [a b]of x-range endpoints '); n = input('Enter number of x approximation points ');d = (r(2) - r(1))/n; t = (r(1):d:r(2)-d) +d/2;PX = input('Enter density as a function of t '); PX = PX*d;PX = PX/sum(PX); X = t;disp('Use row matrices X and PX as in the simple case')

tuappr.m Uses the joint density to set up discrete approximations to $X,Y,t,u$ , and density.

% TUAPPR file tuappr.m Discrete approximation to joint ac pair % Version of 2/20/96% Joint density entered as a function of t, u % Sets up discrete approximations to X, Y, t, u, and densityrx = input('Enter matrix [a b] of X-range endpoints ');ry = input('Enter matrix [c d] of Y-range endpoints ');nx = input('Enter number of X approximation points '); ny = input('Enter number of Y approximation points ');dx = (rx(2) - rx(1))/nx; dy = (ry(2) - ry(1))/ny;X = (rx(1):dx:rx(2)-dx) + dx/2; Y = (ry(1):dy:ry(2)-dy) + dy/2;[t,u] = meshgrid(X,fliplr(Y));P = input('Enter expression for joint density '); P = dx*dy*P;P = P/sum(sum(P)); PX = sum(P);PY = fliplr(sum(P')); disp('Use array operations on X, Y, PX, PY, t, u, and P')

what are the important of economic to accounting students with references
Economics is important because it helps people understand how a variety of factors work with and against each other to control how resources such as labor and capital get used, and how inflation, supply, demand, interest rates and other factors determine how much you pay for goods and services.
explain the steps taken by the government in developing rural market?
contribution of Adam smith in economics
I will join
Dexter
I will join
Patrick
Hey
Fatima
Hey
Amir
Hello
AS
hey
Umarou
I love this book and i need extra Economic book
Amir
Hey
Amir
what's happening here
AS
I love this book and i need extra Economic book
Amir
what is the meaning of function in economics
Pls, I need more explanation on price Elasticity of Supply
Is the degree to the degree of responsiveness of a change in quantity supplied of goods to a change in price
Afran
Discuss the short-term and long-term balance positions of the firm in the monopoly market?
hey
Soumya
hi
Mitiku
how are you?
Mitiku
can you tell how can i economics honurs(BSC) in reputed college?
Soumya
through hard study and performing well than expected from you
Mitiku
what should i prepare for it?
Soumya
prepare first, in psychologically as well as potentially to sacrifice what's expected from you, when I say this I mean that you have to be ready, for every thing and to accept failure as a good and you need to change them to potential for achievement of ur goals
Mitiku
parna kya hai behencho?
Soumya
Hallo
Rabindranath
Hello, dear what's up?
Mitiku
cool
Momoh
good morning
Isaac
pls, is anyone here from Ghana?
Isaac
Afran
Afran
Hello
OLANIYI
pls anyone from Nigeria
OLANIYI
am a new candidate here, can someone put me 2ru
OLANIYI
hello
OLANIYI
Pls economic A level exam tomorrow pls help me
akinwale
am from Ghana
Jacob
hi
Charles
Pls economic A level exam tomorrow pls help me
akinwale
Hi
Dev
bol Diya discuss ab krega v
Dev
hello Mr. Rabindranath
Dev
what do you want Dimlare
Dev
yes tell me your desire to have it
Dev
to have what?
OLANIYI
Good luck
JOSEPH
I want to know about economic A level tomorrow pls help
Lerato
okay
Umarou
okay
Umarou
what is firms
A firm is a business entity which engages in the production of goods and aimed at making profit.
What is autarky in Economics.
what is choice
So how is the perfect competition different from others
what is choice
Tia
1
Naziru
what is the difference between short run and long run?
It just depends on how far you would like to run!!!🤣🤣🤣
Anna
meaning? You guys need not to be playing here; if you don't know a question, leave it for he that knows.
Ukpen
pls is question from which subject or which course
Is this not economics?
Ukpen
This place is meant to be for serious educational matters n not playing ground so pls let's make it a serious place.
Docky
Is there an economics expert here?
Docky
Okay and I was being serous
Anna
The short run is a period of time in which the quantity of at least one inputs is fixed...
Anna
that is the answer that I found online and in my text book
Anna
Elacisity
salihu
Meaning of economics
It will creates rooms for an effective demands.
different between production and supply
babsnof
Hii
Suraj
hlo
eshita
What is the economic?
Suraj
Economics is a science which study human behavior as a relationship between ends and scarce means which has an alternative use.
Mr
what is supply
babsnof
what is different between demand and supply
Demand refers to the quantity of products that consumers are willing to purchase at various prices per time while Supply has to do with the quantity of products suppliers are willing to supply at various prices per time. find the difference in between
Saye
Please what are the effects of rationing Effect of black market Effects of hoarding
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive By By By    By By Rhodes By By Nick Swain