Make sure you've set JAVA_HOME, and then run the following command to start Oracle WebLogic Server:
For Linux: $JAVA_HOME/bin/java -jar Oracle_Analytics_Server_Linux_version-no.jar
For Windows: $JAVA_HOME/bin/java -jar Oracle_Analytics_Server_Linux_version-no.jar
Where Oracle_Analytics_Server_Linux_version-no is the name of the Oracle Analytics Server jar file downloaded from edelivery.
Select the same NEW_ORACLE_HOME location as provided for Oracle Fusion Middleware Infrastructure, for example, /scratch/biapps/Oracle/Middleware/NEW_ORACLE_HOME.