PERCENTILE_CONT window function
PERCENTILE_CONT is an inverse distribution function that assumes a continuous distribution model. It takes a percentile value and a sort specification, and returns an interpolated value that would fall into the given percentile value with respect to the sort specification.
PERCENTILE_CONT computes a linear interpolation between values after ordering them.
Using the percentile value (P)
and the number of not null rows
(N)
in the aggregation group, the function computes the row number after
ordering the rows according to the sort specification. This row number (RN)
is computed according to the formula RN = (1+ (P*(N1))
. The final result
of the aggregate function is computed by linear interpolation between the values from
rows at row numbers CRN = CEILING(RN)
and FRN = FLOOR(RN)
.
The final result will be as follows.
If (CRN = FRN = RN)
then the result is (value of expression from
row at RN)
Otherwise the result is as follows:
(CRN  RN) * (value of expression for row at FRN) + (RN  FRN) * (value of
expression for row at CRN)
.
You can specify only the PARTITION clause in the OVER clause. If PARTITION is specified, for each row, PERCENTILE_CONT returns the value that would fall into the specified percentile among a set of values within a given partition.
PERCENTILE_CONT is a computenode only function. The function returns an error if the query doesn't reference a userdefined table or Amazon Redshift system table.
Syntax
PERCENTILE_CONT ( percentile ) WITHIN GROUP (ORDER BY expr) OVER ( [ PARTITION BY expr_list ] )
Arguments
 percentile

Numeric constant between 0 and 1. Nulls are ignored in the calculation.
 WITHIN GROUP ( ORDER BY expr)

Specifies numeric or date/time values to sort and compute the percentile over.
 OVER

Specifies the window partitioning. The OVER clause cannot contain a window ordering or window frame specification.
 PARTITION BY expr

Optional argument that sets the range of records for each group in the OVER clause.
Returns
The return type is determined by the data type of the ORDER BY expression in the WITHIN GROUP clause. The following table shows the return type for each ORDER BY expression data type.
Input Type  Return Type 

INT2, INT4, INT8, NUMERIC, DECIMAL  DECIMAL 
FLOAT, DOUBLE  DOUBLE 
DATE  DATE 
TIMESTAMP  TIMESTAMP 
Usage notes
If the ORDER BY expression is a DECIMAL data type defined with the maximum precision of 38 digits, it is possible that PERCENTILE_CONT will return either an inaccurate result or an error. If the return value of the PERCENTILE_CONT function exceeds 38 digits, the result is truncated to fit, which causes a loss of precision. If, during interpolation, an intermediate result exceeds the maximum precision, a numeric overflow occurs and the function returns an error. To avoid these conditions, we recommend either using a data type with lower precision or casting the ORDER BY expression to a lower precision.
For example, a SUM function with a DECIMAL argument returns a default precision of 38 digits. The scale of the result is the same as the scale of the argument. So, for example, a SUM of a DECIMAL(5,2) column returns a DECIMAL(38,2) data type.
The following example uses a SUM function in the ORDER BY clause of a PERCENTILE_CONT function. The data type of the PRICEPAID column is DECIMAL (8,2), so the SUM function returns DECIMAL(38,2).
select salesid, sum(pricepaid), percentile_cont(0.6) within group (order by sum(pricepaid) desc) over() from sales where salesid < 10 group by salesid;
To avoid a potential loss of precision or an overflow error, cast the result to a DECIMAL data type with lower precision, as the following example shows.
select salesid, sum(pricepaid), percentile_cont(0.6) within group (order by sum(pricepaid)::decimal(30,2) desc) over() from sales where salesid < 10 group by salesid;
Examples
The following examples uses the WINSALES table. For a description of the WINSALES table, see Overview example for window functions.
select sellerid, qty, percentile_cont(0.5) within group (order by qty) over() as median from winsales; sellerid  qty  median ++ 1  10  20.0 1  10  20.0 3  10  20.0 4  10  20.0 3  15  20.0 2  20  20.0 3  20  20.0 2  20  20.0 3  30  20.0 1  30  20.0 4  40  20.0 (11 rows)
select sellerid, qty, percentile_cont(0.5) within group (order by qty) over(partition by sellerid) as median from winsales; sellerid  qty  median ++ 2  20  20.0 2  20  20.0 4  10  25.0 4  40  25.0 1  10  10.0 1  10  10.0 1  30  10.0 3  10  17.5 3  15  17.5 3  20  17.5 3  30  17.5 (11 rows)
The following example calculates the PERCENTILE_CONT and PERCENTILE_DISC of the ticket sales for sellers in Washington state.
SELECT sellerid, state, sum(qtysold*pricepaid) sales, percentile_cont(0.6) within group (order by sum(qtysold*pricepaid::decimal(14,2) ) desc) over(), percentile_disc(0.6) within group (order by sum(qtysold*pricepaid::decimal(14,2) ) desc) over() from sales s, users u where s.sellerid = u.userid and state = 'WA' and sellerid < 1000 group by sellerid, state; sellerid  state  sales  percentile_cont  percentile_disc ++++ 127  WA  6076.00  2044.20  1531.00 787  WA  6035.00  2044.20  1531.00 381  WA  5881.00  2044.20  1531.00 777  WA  2814.00  2044.20  1531.00 33  WA  1531.00  2044.20  1531.00 800  WA  1476.00  2044.20  1531.00 1  WA  1177.00  2044.20  1531.00 (7 rows)