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Re: frequency of positive and negative numbers, sizes of numbers and frequency of alteration of polarity

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On Thursday, 17 February 2022, Thomas Munro <thomas.munro@xxxxxxxxx> wrote:
On Fri, Feb 18, 2022 at 9:11 AM Shaozhong SHI <shishaozhong@xxxxxxxxx> wrote:
> How to calculate frequency of positive and negative numbers and define and calculate frequency of alteration of polarity?
>
> Surely, we can use frequency of alteration of polarity and level of change (e.g., size of positive and negative numbers) to measure degree and frequency of alteration.
>
> Any ideas in doing so in postgres tables' columns full of positive and negative numbers?

Window functions might be useful to detect polarity changes:

postgres=# create table time_series (time int, value int);
CREATE TABLE
postgres=# insert into time_series values (1, -5), (2, -5), (3, 10), (4, -3);
INSERT 0 4
postgres=# select time,
                  value,
                  sign(lag(value) over (order by time)) != sign(value)
as flipped
             from time_series;
 time | value | flipped
------+-------+---------
    1 |    -5 |
    2 |    -5 | f
    3 |    10 | t
    4 |    -3 | t
(4 rows)

Hot to get measures for frequency and magnitude of alternating?
Regards, David 

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