Normally in Caliburn.Micro and MVVM in general, you would have non-static properties that would be updated and notified like this:

private string _name;

public string Name
{
    get { return _name; }
    set
    {
        _name = value;
        NotifyOfPropertyChange(() => Name);
    }
}

However, if I had a static property, for example, if I wanted a property that could be accessed by another namespace, I would need to implement my own event handler as the default NotifyOfPropertyChange doesn’t operate on static properties.

This is the new EventHandler that I implemented:

public static event EventHandler<PropertyChangedEventArgs> StaticPropertyChanged;
private static void NotifyStaticPropertyChanged(string propertyName)
{
    StaticPropertyChanged?.Invoke(null, new PropertyChangedEventArgs(propertyName));
}

Finally, in order to use it. I would use this instead of the first example for non-static properties:

private string _name;

public string Name
{
    get { return _name; }
    set
    {
        _name = value;
        NotifyStaticPropertyChanged(() => Name);
    }
}

I hope this helps someone. Enjoy!