On Wed, 30 Nov 2011, Sven Schreiber wrote:

> On 11/30/2011 10:55 PM, Henrique Andrade wrote:
>> Dear Hansl experts,
>>
>> I would like to write a Hansl code but unfortunately I'm out of
>> creativity :(
>> I have a binary series with blocks of 0 and 1. Something like
>>
>> X=(0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1).
>>
>> Here are the steps I need do follow:
>>
>> (1) Find the number of 1-blocks;
>> (2) Calculate the average number of observations inside these blocks.
>>
>> In my hypothetical example, the X series, I have two blocks, and these
>> blocks have an average of 8 observations (five observations in the first
>> block and eleven observations in the second block).
>>
>
> Just a quick thought: you could take the (serial/first) difference of
> your series and count the occurrences of -1, which indicates how many
> times you have a 01 pattern. And each 1 in the difference indicates the
> position of a 10 pattern (or vice versa, depending on whether you take
> left-to-right or right-to-left differences). The position indices help
> you determine how many ones you have in between, i.e. in each block.
>
> But your problem in general does look like unpleasant details to code.

Building on Sven's idea: call your binary series y. Then,

<hansl>
   series chg = diff(y)
   chg[1] = (y[1] == 1)
   scalar n_blocks = sum(chg==1)
   scalar avg_len = sum(y) / n_blocks
</hansl>

I think this ought to work.

Riccardo (Jack) Lucchetti
Dipartimento di Economia
Università Politecnica delle Marche

r.lucchetti(a)univpm.it
http://www.econ.univpm.it/lucchetti

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