To make meat patty, combine beef, green onion, pickled daikon, oyster sauce, soy sauce, sesame oil, sugar, and white pepper in a bowl; mix well. Add stock and mix mixture by hand until it is smooth. Set aside

Wash and drain rice. Place rice and 1 1/2 cups water in a 2-quart clay pot or saucepan. Bring to a boil (over medium heat if using clay pot); decrease heat to very low, cover, and simmer until some water evaporates, 7 to 8 minutes

Spread the meat mixture on to of the rice into 6 to 7 inches in diameter. Press the center of the meat mixture with the back of your spoon to make and indentation enough to accomodate one egg. Cover and continue to cook until rice is tender and beef is barely pink in center, 10 minutes

Crack an egg into the indentation. To have a runny egg yolk, turn off heat and let stand for 10 minutes before serving. If you want it cooked all the way, crack an egg into the indentation and continue to steam it for another 5 minutes, turn off the heat