Count rows with equal values in a window function

I have a time series in a SQLite Database and want to analyze it.

The important part of the time series consists of a column with different but not unique string values. I want to do something like this:

Value  concat  countValue

A      A       1
A      A,A     1
B      A,A,B   1
B      A,B,B   2
B      B,B,B   3
C      B,B,C   1
B      B,C,B   2

I don’t know how to get the countValue column. It should count all Values of the partition equal to the current rows Value.

I tried this but it just counts all Values in the partition and not the Values equal to this rows Value.

SELECT 
    Value,
    group_concat(Value) OVER wind AS concat,
    Sum(Case When Value Like Value Then 1 Else 0 End) OVER wind AS countValue
FROM TimeSeries
WINDOW
    wind AS (ORDER BY date ROWS BETWEEN 2 PRECEDING AND CURRENT ROW)
ORDER BY 
    date
;

The query is also limited by these factors:

1. The query should work with any amount of unique Values
2. The query should work with any Partition Size (ROWS BETWEEN n PRECEDING AND CURRENT ROW)

Is this even possible using only SQL?

Answer

Here is an approach using string functions:

select 
    value,
    group_concat(value) over wind as concat,
    (
        length(group_concat(value) over wind) - length(replace(group_concat(value) over wind, value, ''))
    ) / length(value) cnt_value
from timeseries
window wind as (order by date rows between 2 preceding and current row)
order by date;