TSQL: calculate linear weighted (moving) average on a discrete time series











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I have a discrete time series which looks as follows:



product_id  date    sales_per_day
VSG19 2018-05-19 1.00000000000000
VSG19 2018-05-23 1.00000000000000
VSG19 2018-05-24 2.00000000000000
VSG19 2018-06-25 1.00000000000000
VSG19 2018-07-26 1.00000000000000
VSG19 2018-07-28 1.00000000000000
VSG19 2018-08-01 1.00000000000000
VSG19 2018-08-11 1.00000000000000
VSG19 2018-08-29 1.00000000000000
VSG19 2018-09-11 1.00000000000000
VSG19 2018-09-29 1.00000000000000
VSG19 2018-10-16 1.00000000000000
VSG19 2018-10-25 1.00000000000000
VSG19 2018-11-02 1.00000000000000


I'd like to calculate the linear weighted average for this, but my data does not contain days where no sale occured.



I have solved it by joining a calendar table, but I don't like this solution.
Do you know an elegant way to solve this?



Thanks in advance!



PS - Here's the formula for the LWMA: https://en.wikipedia.org/wiki/Moving_average#Weighted_moving_average










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  • 3




    What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
    – Larnu
    Nov 11 at 19:55










  • @Larnu is correct - that is the correct and elegant solution.
    – Dale Burrell
    Nov 11 at 20:18















up vote
0
down vote

favorite












I have a discrete time series which looks as follows:



product_id  date    sales_per_day
VSG19 2018-05-19 1.00000000000000
VSG19 2018-05-23 1.00000000000000
VSG19 2018-05-24 2.00000000000000
VSG19 2018-06-25 1.00000000000000
VSG19 2018-07-26 1.00000000000000
VSG19 2018-07-28 1.00000000000000
VSG19 2018-08-01 1.00000000000000
VSG19 2018-08-11 1.00000000000000
VSG19 2018-08-29 1.00000000000000
VSG19 2018-09-11 1.00000000000000
VSG19 2018-09-29 1.00000000000000
VSG19 2018-10-16 1.00000000000000
VSG19 2018-10-25 1.00000000000000
VSG19 2018-11-02 1.00000000000000


I'd like to calculate the linear weighted average for this, but my data does not contain days where no sale occured.



I have solved it by joining a calendar table, but I don't like this solution.
Do you know an elegant way to solve this?



Thanks in advance!



PS - Here's the formula for the LWMA: https://en.wikipedia.org/wiki/Moving_average#Weighted_moving_average










share|improve this question


















  • 3




    What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
    – Larnu
    Nov 11 at 19:55










  • @Larnu is correct - that is the correct and elegant solution.
    – Dale Burrell
    Nov 11 at 20:18













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have a discrete time series which looks as follows:



product_id  date    sales_per_day
VSG19 2018-05-19 1.00000000000000
VSG19 2018-05-23 1.00000000000000
VSG19 2018-05-24 2.00000000000000
VSG19 2018-06-25 1.00000000000000
VSG19 2018-07-26 1.00000000000000
VSG19 2018-07-28 1.00000000000000
VSG19 2018-08-01 1.00000000000000
VSG19 2018-08-11 1.00000000000000
VSG19 2018-08-29 1.00000000000000
VSG19 2018-09-11 1.00000000000000
VSG19 2018-09-29 1.00000000000000
VSG19 2018-10-16 1.00000000000000
VSG19 2018-10-25 1.00000000000000
VSG19 2018-11-02 1.00000000000000


I'd like to calculate the linear weighted average for this, but my data does not contain days where no sale occured.



I have solved it by joining a calendar table, but I don't like this solution.
Do you know an elegant way to solve this?



Thanks in advance!



PS - Here's the formula for the LWMA: https://en.wikipedia.org/wiki/Moving_average#Weighted_moving_average










share|improve this question













I have a discrete time series which looks as follows:



product_id  date    sales_per_day
VSG19 2018-05-19 1.00000000000000
VSG19 2018-05-23 1.00000000000000
VSG19 2018-05-24 2.00000000000000
VSG19 2018-06-25 1.00000000000000
VSG19 2018-07-26 1.00000000000000
VSG19 2018-07-28 1.00000000000000
VSG19 2018-08-01 1.00000000000000
VSG19 2018-08-11 1.00000000000000
VSG19 2018-08-29 1.00000000000000
VSG19 2018-09-11 1.00000000000000
VSG19 2018-09-29 1.00000000000000
VSG19 2018-10-16 1.00000000000000
VSG19 2018-10-25 1.00000000000000
VSG19 2018-11-02 1.00000000000000


I'd like to calculate the linear weighted average for this, but my data does not contain days where no sale occured.



I have solved it by joining a calendar table, but I don't like this solution.
Do you know an elegant way to solve this?



Thanks in advance!



PS - Here's the formula for the LWMA: https://en.wikipedia.org/wiki/Moving_average#Weighted_moving_average







sql-server tsql sql-server-2017






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asked Nov 11 at 19:49









youvebeennarddogged

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82








  • 3




    What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
    – Larnu
    Nov 11 at 19:55










  • @Larnu is correct - that is the correct and elegant solution.
    – Dale Burrell
    Nov 11 at 20:18














  • 3




    What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
    – Larnu
    Nov 11 at 19:55










  • @Larnu is correct - that is the correct and elegant solution.
    – Dale Burrell
    Nov 11 at 20:18








3




3




What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
– Larnu
Nov 11 at 19:55




What's wrong with a calendar table? I would suggest that that is the normal (and elegant?) way to do so.
– Larnu
Nov 11 at 19:55












@Larnu is correct - that is the correct and elegant solution.
– Dale Burrell
Nov 11 at 20:18




@Larnu is correct - that is the correct and elegant solution.
– Dale Burrell
Nov 11 at 20:18












1 Answer
1






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0
down vote













I'm not overly familiar with that particular calculation but from what I just read, you should be able to use "window frames" to calculate the "rolling information need to assign the weights to past sales.
Without seeing the actual formula you're applying, I can't say for sure weather or not it will work or not.



The following is just an example off the top of my head...



IF OBJECT_ID('tempdb..#TestData', 'U') IS NOT NULL 
DROP TABLE #TestData;

CREATE TABLE #TestData (
product_id CHAR(5) NOT NULL,
[date] DATE NOT NULL,
sales_per_day DECIMAL(19,14) NOT NULL
);
INSERT #TestData (product_id, date, sales_per_day) VALUES
('VSG19', '2018-05-19', 1.00000000000000),
('VSG19', '2018-05-23', 1.00000000000000),
('VSG19', '2018-05-24', 2.00000000000000),
('VSG19', '2018-06-25', 1.00000000000000),
('VSG19', '2018-07-26', 1.00000000000000),
('VSG19', '2018-07-28', 1.00000000000000),
('VSG19', '2018-08-01', 1.00000000000000),
('VSG19', '2018-08-11', 1.00000000000000),
('VSG19', '2018-08-29', 1.00000000000000),
('VSG19', '2018-09-11', 1.00000000000000),
('VSG19', '2018-09-29', 1.00000000000000),
('VSG19', '2018-10-16', 1.00000000000000),
('VSG19', '2018-10-25', 1.00000000000000),
('VSG19', '2018-11-02', 1.00000000000000);

--===============================================================

SELECT
*,
days_since_last_sale = ISNULL(DATEDIFF(DAY, MAX(td.date) OVER (ORDER BY td.date ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING), td.date), 0),
days_from_first_sale = ISNULL(DATEDIFF(DAY, MIN(td.date) OVER (ORDER BY td.date), td.date), 0)
FROM
#TestData td;





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    up vote
    0
    down vote













    I'm not overly familiar with that particular calculation but from what I just read, you should be able to use "window frames" to calculate the "rolling information need to assign the weights to past sales.
    Without seeing the actual formula you're applying, I can't say for sure weather or not it will work or not.



    The following is just an example off the top of my head...



    IF OBJECT_ID('tempdb..#TestData', 'U') IS NOT NULL 
    DROP TABLE #TestData;

    CREATE TABLE #TestData (
    product_id CHAR(5) NOT NULL,
    [date] DATE NOT NULL,
    sales_per_day DECIMAL(19,14) NOT NULL
    );
    INSERT #TestData (product_id, date, sales_per_day) VALUES
    ('VSG19', '2018-05-19', 1.00000000000000),
    ('VSG19', '2018-05-23', 1.00000000000000),
    ('VSG19', '2018-05-24', 2.00000000000000),
    ('VSG19', '2018-06-25', 1.00000000000000),
    ('VSG19', '2018-07-26', 1.00000000000000),
    ('VSG19', '2018-07-28', 1.00000000000000),
    ('VSG19', '2018-08-01', 1.00000000000000),
    ('VSG19', '2018-08-11', 1.00000000000000),
    ('VSG19', '2018-08-29', 1.00000000000000),
    ('VSG19', '2018-09-11', 1.00000000000000),
    ('VSG19', '2018-09-29', 1.00000000000000),
    ('VSG19', '2018-10-16', 1.00000000000000),
    ('VSG19', '2018-10-25', 1.00000000000000),
    ('VSG19', '2018-11-02', 1.00000000000000);

    --===============================================================

    SELECT
    *,
    days_since_last_sale = ISNULL(DATEDIFF(DAY, MAX(td.date) OVER (ORDER BY td.date ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING), td.date), 0),
    days_from_first_sale = ISNULL(DATEDIFF(DAY, MIN(td.date) OVER (ORDER BY td.date), td.date), 0)
    FROM
    #TestData td;





    share|improve this answer

























      up vote
      0
      down vote













      I'm not overly familiar with that particular calculation but from what I just read, you should be able to use "window frames" to calculate the "rolling information need to assign the weights to past sales.
      Without seeing the actual formula you're applying, I can't say for sure weather or not it will work or not.



      The following is just an example off the top of my head...



      IF OBJECT_ID('tempdb..#TestData', 'U') IS NOT NULL 
      DROP TABLE #TestData;

      CREATE TABLE #TestData (
      product_id CHAR(5) NOT NULL,
      [date] DATE NOT NULL,
      sales_per_day DECIMAL(19,14) NOT NULL
      );
      INSERT #TestData (product_id, date, sales_per_day) VALUES
      ('VSG19', '2018-05-19', 1.00000000000000),
      ('VSG19', '2018-05-23', 1.00000000000000),
      ('VSG19', '2018-05-24', 2.00000000000000),
      ('VSG19', '2018-06-25', 1.00000000000000),
      ('VSG19', '2018-07-26', 1.00000000000000),
      ('VSG19', '2018-07-28', 1.00000000000000),
      ('VSG19', '2018-08-01', 1.00000000000000),
      ('VSG19', '2018-08-11', 1.00000000000000),
      ('VSG19', '2018-08-29', 1.00000000000000),
      ('VSG19', '2018-09-11', 1.00000000000000),
      ('VSG19', '2018-09-29', 1.00000000000000),
      ('VSG19', '2018-10-16', 1.00000000000000),
      ('VSG19', '2018-10-25', 1.00000000000000),
      ('VSG19', '2018-11-02', 1.00000000000000);

      --===============================================================

      SELECT
      *,
      days_since_last_sale = ISNULL(DATEDIFF(DAY, MAX(td.date) OVER (ORDER BY td.date ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING), td.date), 0),
      days_from_first_sale = ISNULL(DATEDIFF(DAY, MIN(td.date) OVER (ORDER BY td.date), td.date), 0)
      FROM
      #TestData td;





      share|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        I'm not overly familiar with that particular calculation but from what I just read, you should be able to use "window frames" to calculate the "rolling information need to assign the weights to past sales.
        Without seeing the actual formula you're applying, I can't say for sure weather or not it will work or not.



        The following is just an example off the top of my head...



        IF OBJECT_ID('tempdb..#TestData', 'U') IS NOT NULL 
        DROP TABLE #TestData;

        CREATE TABLE #TestData (
        product_id CHAR(5) NOT NULL,
        [date] DATE NOT NULL,
        sales_per_day DECIMAL(19,14) NOT NULL
        );
        INSERT #TestData (product_id, date, sales_per_day) VALUES
        ('VSG19', '2018-05-19', 1.00000000000000),
        ('VSG19', '2018-05-23', 1.00000000000000),
        ('VSG19', '2018-05-24', 2.00000000000000),
        ('VSG19', '2018-06-25', 1.00000000000000),
        ('VSG19', '2018-07-26', 1.00000000000000),
        ('VSG19', '2018-07-28', 1.00000000000000),
        ('VSG19', '2018-08-01', 1.00000000000000),
        ('VSG19', '2018-08-11', 1.00000000000000),
        ('VSG19', '2018-08-29', 1.00000000000000),
        ('VSG19', '2018-09-11', 1.00000000000000),
        ('VSG19', '2018-09-29', 1.00000000000000),
        ('VSG19', '2018-10-16', 1.00000000000000),
        ('VSG19', '2018-10-25', 1.00000000000000),
        ('VSG19', '2018-11-02', 1.00000000000000);

        --===============================================================

        SELECT
        *,
        days_since_last_sale = ISNULL(DATEDIFF(DAY, MAX(td.date) OVER (ORDER BY td.date ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING), td.date), 0),
        days_from_first_sale = ISNULL(DATEDIFF(DAY, MIN(td.date) OVER (ORDER BY td.date), td.date), 0)
        FROM
        #TestData td;





        share|improve this answer












        I'm not overly familiar with that particular calculation but from what I just read, you should be able to use "window frames" to calculate the "rolling information need to assign the weights to past sales.
        Without seeing the actual formula you're applying, I can't say for sure weather or not it will work or not.



        The following is just an example off the top of my head...



        IF OBJECT_ID('tempdb..#TestData', 'U') IS NOT NULL 
        DROP TABLE #TestData;

        CREATE TABLE #TestData (
        product_id CHAR(5) NOT NULL,
        [date] DATE NOT NULL,
        sales_per_day DECIMAL(19,14) NOT NULL
        );
        INSERT #TestData (product_id, date, sales_per_day) VALUES
        ('VSG19', '2018-05-19', 1.00000000000000),
        ('VSG19', '2018-05-23', 1.00000000000000),
        ('VSG19', '2018-05-24', 2.00000000000000),
        ('VSG19', '2018-06-25', 1.00000000000000),
        ('VSG19', '2018-07-26', 1.00000000000000),
        ('VSG19', '2018-07-28', 1.00000000000000),
        ('VSG19', '2018-08-01', 1.00000000000000),
        ('VSG19', '2018-08-11', 1.00000000000000),
        ('VSG19', '2018-08-29', 1.00000000000000),
        ('VSG19', '2018-09-11', 1.00000000000000),
        ('VSG19', '2018-09-29', 1.00000000000000),
        ('VSG19', '2018-10-16', 1.00000000000000),
        ('VSG19', '2018-10-25', 1.00000000000000),
        ('VSG19', '2018-11-02', 1.00000000000000);

        --===============================================================

        SELECT
        *,
        days_since_last_sale = ISNULL(DATEDIFF(DAY, MAX(td.date) OVER (ORDER BY td.date ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING), td.date), 0),
        days_from_first_sale = ISNULL(DATEDIFF(DAY, MIN(td.date) OVER (ORDER BY td.date), td.date), 0)
        FROM
        #TestData td;






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        answered Nov 12 at 2:54









        Jason A. Long

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