Install the LEMP stack(Linux, Nginx, Mysql, PHP) with the command below:

sudo apt-get install nginx mysql-server php5-fpm php5-mysql

Note: Please set the MySQL root password, when it will prompt for it during the installation of MySQL-Server.

Secure the PHP by editing the php.ini file:

sudo vi /etc/php5/fpm/php.ini

Uncomment the cgi.fix_pathinfo and change it from 1 to 0:

cgi.fix_pathinfo=0

Create the new virtual host for wordpress (In my case, I have named it tendosite):

sudo vi /etc/nginx/sites-available/tendosite

Add the following code to the virtual host file (change these parameters that are marked with blue colour):

server {
             listen 80;
             server_name rbgeek.com;
             root /var/www/wordpress;
             index index.php index.html index.htm;
             location / {
                try_files $uri $uri/ /index.php?q=$uri&$args;
             }
             error_page 404 /404.html;
             error_page 500 502 503 504 /50x.html;
             location = /50x.html {
                root /usr/share/nginx/html;
             }
             location ~ .php$ {
                try_files $uri =404;
                fastcgi_split_path_info ^(.+.php)(/.+)$;
                fastcgi_pass unix:/var/run/php5-fpm.sock;
                fastcgi_index index.php;
                include fastcgi_params;
              }
}

Enable the virtual host by creating it’s link inside the /etc/nginx/sites-enabled:

sudo ln -s /etc/nginx/sites-available/tendosite /etc/nginx/sites-enabled/tendosite

Change the permission and owner of php5-fpm.sock by editing the /etc/php5/fpm/pool.d/www.conf file:

sudo vi /etc/php5/fpm/pool.d/www.conf

Remove the comment for listen.mode, .group and .owner:

listen.owner = www-data
listen.group = www-data
listen.mode = 0660

To start the MySQL command-line client, use this command:

mysql -u root -p

Create a wordpress database and granting all privileges to the wordpress user on that database:

CREATE DATABASE wordpress;
GRANT ALL PRIVILEGES ON wordpress.* TO wpuser@localhost IDENTIFIED BY 'password';
FLUSH PRIVILEGES;
EXIT;

Note: In this tutorial, wpuser will be used for wordpress.

Download the latest version of wordpress:

wget http://wordpress.org/latest.tar.gz

Use this command to unpack the WordPress files:

tar -zxvf latest.tar.gz

Move to the extracted wordpress directory and change the name of the config file from wp-config-sample.php towp-config.php and then edit the wp-config.php file:

cd wordpress/
mv wp-config-sample.php wp-config.php
vi wp-config.php

Insert your MySQL settings that you have created for wordpress:

Create the wordpress directory inside www and move all the wordpress file to it:

sudo mkdir -p /var/www/wordpress
sudo cp -r * /var/www/wordpress/

Change the ownership of /var/www/wordpress directory to www-data:

sudo chown -R www-data. /var/www/wordpress

Move to the /var/www/wordpress/ directory and check the permission:

cd /var/www/wordpress/
ls -l

Restart the nginx service:

sudo service nginx restart

Finally restart the php5-fpm service:

sudo service php5-fpm restart

Open up the browser and go to http://hostname/wp-admin/install.php  to begin configuring WordPress:

http://rbgeek.com/wp-admin/install.php

Login to the admin section:

Congratulations!

Hope this will help you!