After reboot vmware-statsmonitor service doesn’t start automatically. In some situation, this service even doesn’t start manually and fail with following error.

root@buildvcenter [ ~ ]# service-control --start vmware-statsmonitor
Operation not cancellable. Please wait for it to finish...
Performing start operation on service statsmonitor...
channel 3: open failed: administratively prohibited: open failed
Error executing start on service statsmonitor. Details {
    "detail": [
        {
            "args": [
                "statsmonitor"
            ],
            "id": "install.ciscommon.service.failstart",
            "localized": "An error occurred while starting service 'statsmonitor'",
            "translatable": "An error occurred while starting service '%(0)s'"
        }
    ],
    "problemId": null,
    "resolution": null,
    "componentKey": null
}

Following line can be seen in Vmon log (/var/log/vmware/vmon/vmon-syslog.log)

2019-08-08T09:26:42.809220-07:00 warning vmon   Service api healthcheck command returned unknown exit code 1
2019-08-08T09:26:42.809574-07:00 notice vmon   Re-check service health since it is still initializing.
2019-08-08T09:26:45.810708-07:00 notice vmon   Constructed command: /usr/bin/python /usr/lib/vmware-vmon/vmonApiHealthCmd.py -n vmware-statsmonitor -f /var/vmware/applmgmt/statsmonitor_health.xml
2019-08-08T09:26:51.166333-07:00 warning vmon   Service api-health command's stderr: Error getting service health. Error: Failed to read health xml file: /var/vmware/applmgmt/statsmonitor_health.xml. Error: [Errno 2] No such file or directory: '/var/vmware/applmgmt/statsmonitor_health.xml'
2019-08-08T09:26:51.166701-07:00 warning vmon
2019-08-08T09:26:51.194457-07:00 warning vmon   Service api healthcheck command returned unknown exit code 1
2019-08-08T09:26:51.194832-07:00 notice vmon   Re-check service health since it is still initializing.
2019-08-08T09:26:54.195953-07:00 notice vmon   Constructed command: /usr/bin/python /usr/lib/vmware-vmon/vmonApiHealthCmd.py -n vmware-statsmonitor -f /var/vmware/applmgmt/statsmonitor_health.xml
2019-08-08T09:26:58.391456-07:00 notice vmon   Service start operation timed out.
2019-08-08T09:26:58.394656-07:00 notice vmon   Cancelling execution of pid 38052
2019-08-08T09:26:58.395009-07:00 warning vmon   Found empty StopSignal parameter in config file. Defaulting to SIGTERM

This issue happens because of startup delay and can be fix by following steps:-

Take snapshot of vCenter to be in safer side.
Take SSH to VCSA using root login.
Modify statsmonitor service config for vMon to set higher start up timeout:

sed -i '/StartTimeout/d' /etc/vmware/vmware-vmon/svcCfgfiles/statsmonitor.json
sed -i '/ApiHealthFile/a "StartTimeout": 600,' /etc/vmware/vmware-vmon/svcCfgfiles/statsmonitor.json
kill -HUP $(cat /var/run/vmon.pid)

Stop and start stats-monitor service explicitly.

/usr/lib/vmware-vmon/vmon-cli -k statsmonitor
/usr/lib/vmware-vmon/vmon-cli -i statsmonitor

Then restart vCenter to see if that service start automatically