The first one initializes the MyObj variable with the anonymous function - it does not create the class. The MyObj may be later used as the object constructor that initializes one object field - vari. There is nothing "statis" in OOP meaning.
The second one creates the object of the Object type and initializes its property. Again, there is nothing static.
In OOP "statis" means the member of the class, e.g. variables and objects that belong to class definition. For example, the following schema demonstrates this concept:
function MyClass() {
this.objectProperty = "I'm object property";
// the following demonstrates initialization of
// the object property from class (static) property:
this.varFromStatic = MyClass.classProperty;
}
MyClass.classProperty = "I'm class (static) property";
var obj = new MyClass();
// now obj.varFromStatic contains "I'm class (static) property"