Java で静的クラスをシミュレートするにはどうすればよいですか?

public class TestMyStaticClass {
    public static void main(String[] args) {
        MyStaticClass.setMyStaticMember(5);
        System.out.println("Static value: " + MyStaticClass.getMyStaticMember());
        System.out.println("Value squared: " + MyStaticClass.squareMyStaticMember());
    }
}

public final class MyStaticClass {
    private MyStaticClass() {
        myStaticMember = 1;
    }

    private static int myStaticMember;

    public static void setMyStaticMember(int val) {
        myStaticMember = val;
    }

    public static int getMyStaticMember() {
        return myStaticMember;
    }

    public static int squareMyStaticMember() {
        return myStaticMember * myStaticMember;
    }
}