Does the following do what you want:

rseq <- function(n=1, length.=2){
 s1 <- sample(x=length., size=n, replace=TRUE)
 s2 <- sample(x=length., size=n, replace=TRUE)
 ranseq <- array(0, dim=c(n, length.))
 for(i in 1:n)
   ranseq[i, s1[i]:s2[i]] <- 1
 ranseq
}
set.seed(1)
rseq(9, 5)

> set.seed(1)
> rseq(9, 5)
     [,1] [,2] [,3] [,4] [,5]
[1,]    1    1    0    0    0
[2,]    0    1    0    0    0
[3,]    1    1    1    0    0
[4,]    0    0    0    1    1
[5,]    0    1    0    0    0
[6,]    0    0    0    1    1
[7,]    0    0    1    1    1
[8,]    0    0    0    1    0
[9,]    0    0    0    1    1
>
     hope this helps.  spencer graves

Jim Lemon wrote:

On Tuesday 29 June 2004 01:48 pm, Steve S wrote:


Dear All,

I wonder if there is a probability distribution where you can specify when
a certain event start and finish within a fixed period? For example I might
specify the number of period to be 5, and a random vector from this
distribution might give me:
0 1 1 1 0

where 1 is always adjacent to each other?

This can never happen: 0 0 1 0 1 for example.



Well, I'll have a go. Let's call it the start-finish distribution. We have a p (period) and d (duration). As there must be an "off" observation (otherwise we don't know the duration), It's fairly easy to enumerate the outcomes for a given period:

d       start(s)        finish(f)       count
1       1:n-1   2:n     n-1
2       1:n-2   3:n     n-2
...
n-1     1       n-1     1

Assuming that all outcomes are equally likely, the total number of outcomes is:

n(n-1)/2

thus the probability of a given d occurring is:

P[d|n] = 2(n-d)/n(n-1)

The probabilities of s and f over all d are inverse over the values k in 1:n

P[s=k|n] = (n-k-1)/(n-1)
P[f=k|n] = (k-1)/(n-1)

giving, I think, a monotonic function for s and f.



My apology for this strange question!



My apology if this is no use at all.

Jim

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