# R/is.gamma.R In DnE: Distribution and Equation

#### Documented in is.gamma

```is.gamma <-
function(x,m,a=10,a0=NULL,b0=NULL)
{
re=1;
for(i in 1:length(x))
if(x[i]<0)
re=-1;
p=rep(0,m+2);
y=rep(0,m+2);
q=0;
if(re==-1)
{
return(data.frame("state"=-1,"pvalue"=1));
}
else
{
x1=mean(x);
x2=var(x)
if(is.null(a0)&&is.null(b0))
{
b0=x1/x2;
a0=x1*b0;
df=m-1;
}
else if(is.null(a0))
{
a0=x1*b0;
df=m;
}
else if(is.null(b0))
{
b0=x1/x2;
df=m;
}
else
{
df=m+1;
}
if(a0>0&&b0>0)
{
di=max(x)-min(x);
for(i in 1:m)
{
p[i]=pgamma(min(x)+di*i/m,a0,rate=b0)-pgamma(min(x)+di*(i-1)/m,a0,rate=b0);
if(p[i]==0)
{
break;
}
for(j in 1:length(x))
if(x[j]>(min(x)+di*(i-1)/m) && x[j]<=(min(x)+di*i/m))
y[i]=y[i]+1;
q=q+(y[i]-(length(x)*p[i]))^2/(length(x)*p[i]);
}
p[m+1]=pgamma(Inf,a0,rate=b0)-pgamma(max(x),a0,rate=b0);
y[m+1]=0;
p[m+2]=pgamma(min(x),a0,rate=b0);
y[m+2]=length(which(x==min(x)));
if(p[m+1]!=0)
q=q+(y[m+1]-(length(x)*p[m+1]))^2/(length(x)*p[m+1]);
if(p[m+2]!=0)
q=q+(y[m+2]-(length(x)*p[m+2]))^2/(length(x)*p[m+2]);
q0=qchisq(1-a,df);
pvalue=pchisq(q,df);
if(q<=q0)
{
return(data.frame("qchisq"=q,"pvalue"=pvalue));
}
else
{
return(data.frame("state"=-1,"pvalue"=1));
}
}
else
{
return(data.frame("state"=-1,"pvalue"=1));
}
}
}
```

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DnE documentation built on May 2, 2019, 4:03 p.m.