Make sure that empty arrays or arrays with all the same entry return 0 for Skewness and Kurtosis rather than throwing a division by zero error
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@ -13,17 +13,21 @@ CREATE OR REPLACE FUNCTION CDB_Kurtosis ( in_array NUMERIC[] ) RETURNS NUMERIC a
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DECLARE
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a numeric;
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c numeric;
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s numeric;
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k numeric;
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BEGIN
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SELECT AVG(e), COUNT(e)::numeric, stddev(e) INTO a, c, s FROM ( SELECT unnest(in_array) e ) x;
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SELECT AVG(e), COUNT(e)::numeric * power(stddev(e),4) INTO a, c FROM ( SELECT unnest(in_array) e ) x;
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EXECUTE 'SELECT sum(power($1 - e, 4)) / ( $2 * power($3, 4)) - 3
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FROM (SELECT unnest($4) e ) x'
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INTO k
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USING a, c, s, in_array;
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IF c=0 THEN
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RETURN 0;
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ELSE
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RETURN k;
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EXECUTE 'SELECT sum(power($1 - e, 4)) / ($2 ) - 3
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FROM (SELECT unnest($3) e ) x'
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INTO k
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USING a, c, in_array;
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RETURN k;
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END IF;
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END;
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$$ language plpgsql IMMUTABLE;
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@ -32,16 +36,18 @@ CREATE OR REPLACE FUNCTION CDB_Skewness ( in_array NUMERIC[] ) RETURNS NUMERIC a
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DECLARE
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a numeric;
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c numeric;
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s numeric;
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sk numeric;
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BEGIN
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SELECT AVG(e), COUNT(e)::numeric, stddev(e) INTO a, c, s FROM ( SELECT unnest(in_array) e ) x;
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SELECT AVG(e), COUNT(e)::numeric * power(stddev(e),3) INTO a, c FROM ( SELECT unnest(in_array) e ) x;
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IF c=0 THEN
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RETURN 0;
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ELSE
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EXECUTE 'SELECT sum(power($1 - e, 3)) / ( $2 )
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FROM (SELECT unnest($3) e ) x'
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INTO sk
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USING a, c, in_array;
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EXECUTE 'SELECT sum(power($1 - e, 3)) / ( $2 * power($3, 3))
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FROM (SELECT unnest($4) e ) x'
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INTO sk
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USING a, c, s, in_array;
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RETURN sk;
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RETURN sk;
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END IF;
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END;
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$$ language plpgsql IMMUTABLE;
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