How to Inherit singleton

Sometimes there is a demand for inherit a singleton but because in singleton you are using a static reference and static method that cannot be overridden.

For example (Java):

public class Singleton {
    private static Singleton instance = null;

    public static Singleton getInstance() {
        if (instance == null)
            instance = new Singleton();
        return instance;
    }
}

If i would inherit "Singleton" with "SingletonChild" class i won't be able to generate an instance by calling getInstance() method. If i will create another getInstanceChild() method the base method: getInstance() also will be exposed.