Why I get wrong time / date for New York for the year 1966 and before, when I use EST5EDT timezone

Issue

When /etc/local time is set to "EST5EDT", the java application getting incorrect time/date if the date is before 1966. if /etc/local set to "US/Eastern" or "America/New_York", the application time/date would be correct.
I use following sample code to test:

        System.out.println("Default Timezone " + TimeZone.getDefault());
        Calendar c = Calendar.getInstance(tz);

        c.set(1940, 4, 13);
        // c.set(1966, 9, 30);
        // c.set(1966, 9, 31);

        SimpleDateFormat sdf = new SimpleDateFormat("dd-MMM-yyyy");
        System.out.println("Time " + sdf.format(c.getTime()));

And the output is:

Default Timezone sun.util.calendar.ZoneInfo[id="EST5EDT",offset=-18000000,dstSavings=3600000,useDaylight=true,transitions=149,lastRule=java.util.SimpleTimeZone[id=EST5EDT,offset=-18000000,dstSavings=3600000,useDaylight=true,startYear=0,startMode=3,startMonth=2,startDay=8,startDayOfWeek=1,startTime=7200000,startTimeMode=0,endMode=3,endMonth=10,endDay=1,endDayOfWeek=1,endTime=7200000,endTimeMode=0]]

1940-05-12
1966-10-29
1966-10-31

Also run following tests:

[root@xxx tmp]# export TZ="US/Eastern"
[root@xxx tmp]# date --date='1003 months ago'
Sat May 17 12:46:25 EDT 1930
[root@xxx tmp]# export TZ="America/New_York"
[root@xxx tmp]# date --date='1003 months ago'
Sat May 17 12:46:37 EDT 1930
[root@xxx tmp]# export TZ="EST5EDT"
[root@xxx tmp]# date --date='1003 months ago'
Sat May 17 11:46:51 EST 1930