- 
                                   ACCUMULATE= option
                                   
                                 
- 
                      specifies how the data set observations are to be accumulated within each time period. The frequency (width of each time
                        interval) is specified by the INTERVAL= option. The ID variable contains the time ID values. Each time ID variable value corresponds
                        to a specific time period. The accumulated values form the time series, which is used in subsequent analysis. 
                      The ACCUMULATE= option is useful when there are zero or more than one input observations that coincide with a particular time
                        period (for example, time-stamped transactional data). The EXPAND procedure offers additional frequency conversions and transformations
                        that can also be useful in creating a time series. 
                      The following options determine how the observations are accumulated within each time period based on the ID variable and the frequency specified
                        by the INTERVAL= option: 
                      
                        
- NONE
- 
                              No accumulation occurs; the ID variable values must be equally spaced with respect to the frequency. This is the default option.
                                 
                               
- TOTAL
- 
                              Observations are accumulated based on the total sum of their values.  
- AVERAGE | AVG
- 
                              Observations are accumulated based on the average of their values.  
- MINIMUM | MIN
- 
                              Observations are accumulated based on the minimum of their values.  
- MEDIAN | MED
- 
                              Observations are accumulated based on the median of their values.  
- MAXIMUM | MAX
- 
                              Observations are accumulated based on the maximum of their values.  
- N
- 
                              Observations are accumulated based on the number of nonmissing observations.  
- NMISS
- 
                              Observations are accumulated based on the number of missing observations.  
- NOBS
- 
                              Observations are accumulated based on the number of observations.  
- FIRST
- 
                              Observations are accumulated based on the first of their values.  
- LAST
- 
                              Observations are accumulated based on the last of their values.  
- STDDEV |STD
- 
                              Observations are accumulated based on the standard deviation of their values.  
- CSS
- 
                              Observations are accumulated based on the corrected sum of squares of their values.  
- USS
- 
                              Observations are accumulated based on the uncorrected sum of squares of their values.  
 
 If the ACCUMULATE= option is specified, the SETMISSING= option is useful for specifying how accumulated missing values are
                        to be treated. If missing values should be interpreted as zero, then SETMISSING=0 should be used. The section Details: TIMESERIES Procedure describes accumulation in greater detail. 
                      
- 
                                   ALIGN= option
                                   
                                 
- 
                      controls the alignment of SAS dates used to identify output observations. The ALIGN= option accepts the following values:
                        BEGINNING | BEG | B, MIDDLE | MID | M, and ENDING | END | E. BEGINNING is the default. 
                      
- 
                                   BOUNDARYALIGN= option
                                   
                                 
- 
                      controls how the ACCUMULATE= option is processed for the two boundary time intervals, which include the START= and END= time
                        ID values. Some time ID values might fall inside the first and last accumulation intervals but fall outside the START= and
                        END= boundaries. In these cases the BOUNDARYALIGN= option determines which values to include in the accumulation operation.
                        You can specify the following options: 
                      
                        
- NONE
- 
                              No values outside the START= and END= boundaries are accumulated.  
- START
- 
                              All observations in the first time interval are accumulated.  
- END
- 
                              All observations in the last time interval are accumulated.  
- BOTH
- 
                              All observations in the first and last are accumulated.  
 
  If no option is specified, the default value BOUNDARYALIGN=NONE is used. The section Details: TIMESERIES Procedure describes the BOUNDARYALIGN= accumulation option in greater detail. 
                      
- 
                                   END= option
                                   
                                 
- 
                     specifies a SAS date or datetime value that represents the end of the data. If the last time ID variable value is less than
                        the END= value, the series is extended with missing values. If the last time ID variable value is greater than the END= value,
                        the series is truncated. For example, END="&sysdate"D uses the automatic macro variable SYSDATE to extend or truncate the
                        series to the current date. The START= and END= options can be used to ensure that data associated within each BY group contains
                        the same number of observations. 
                      
- 
                                   FORMAT= format
                                   
                                 
- 
                     specifies the SAS format for the time ID values. If the FORMAT= option is not specified, the default format is implied from
                        the INTERVAL= option. 
                      
- 
                                   INTERVAL= interval
                                   
                                 
- 
                     specifies the frequency of the accumulated time series. For example, if the input data set consists of quarterly observations,
                        then INTERVAL=QTR should be used. If the PROC TIMESERIES statement SEASONALITY= option is not specified, the length of the
                        seasonal cycle is implied from the INTERVAL= option. For example, INTERVAL=QTR implies a seasonal cycle of length 4. If the
                        ACCUMULATE= option is also specified, the INTERVAL= option determines the time periods for the accumulation of observations.
                        The INTERVAL= option is required and must be the first option specified in the ID statement. 
                      
- 
                                   NOTSORTED
                                   
                                 
- 
                     specifies that the time ID values not be in sorted order. The TIMESERIES procedure sorts the data with respect to the time
                        ID prior to analysis. 
                      
- 
                                   SETMISSING= option | number
                                   
                                 
- 
                     specifies how missing values (either actual or accumulated) are to be interpreted in the accumulated time series. If a number
                        is specified, missing values are set to the number. If a missing value indicates an unknown value, this option should not
                        be used. If a missing value indicates no value, SETMISSING=0 should be used. You would typically use SETMISSING=0 for transactional
                        data because no recorded data usually implies no activity. The following options can also be used to determine how missing
                        values are assigned: 
                      
                        
- MISSING
- 
                              Missing values are set to missing. This is the default option.  
- AVERAGE | AVG
- 
                              Missing values are set to the accumulated average value.  
- MINIMUM | MIN
- 
                              Missing values are set to the accumulated minimum value.  
- MEDIAN | MED
- 
                              Missing values are set to the accumulated median value.  
- MAXIMUM | MAX
- 
                              Missing values are set to the accumulated maximum value.  
- FIRST
- 
                              Missing values are set to the accumulated first nonmissing value.  
- LAST
- 
                              Missing values are set to the accumulated last nonmissing value.  
- PREVIOUS | PREV
- 
                              Missing values are set to the previous period’s accumulated nonmissing value. Missing values at the beginning of the accumulated
                                 series remain missing. 
                               
- NEXT
- 
                              Missing values are set to the next period’s accumulated nonmissing value. Missing values at the end of the accumulated series
                                 remain missing. 
                               
 
 
- 
                                   START= option
                                   
                                 
- 
                     specifies a SAS date or datetime value that represents the beginning of the data. If the first time ID variable value is greater
                        than the START= value, the series is prepended with missing values. If the first time ID variable value is less than the START=
                        value, the series is truncated. The START= and END= options can be used to ensure that data associated with each by group
                        contains the same number of observations.