ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/mysql.sock' (2)

ERROR 2002 (HY000): Can't connect to local MySQL server through socket
'/var/run/mysql.sock' (2)

I recently installed packages MySQL client and MySQL server for Cygwin.
However i'm getting the above mentioned error,
What i did:
-- To start MySQL client:
mysql -u root -p password -h 127.0.0.1.
What i observed:
-- Path to /var/run/mysql.sock doesn't exists.
-- There is no /etc/init.d/mysql script(to start MySQL server daemon mysqld).
-- I'm running with Windows Administrator account in cygwin. There is no
root user of linux.
Please let me know the solution or whether i need to install additional
packages.
Thanks.