Bank efficiency is a dimension or determinant of bank performance.
Bank regulation and bank stability are not determinants (or dimensions) of bank performance because: (i) banks do not have control over the regulation it receives and also because (ii) in terms of stability, external factors can make banks unstable. Therefore, bank regulation and stability can be thought of as institutional and/or external factors influencing bank performance.
A bank-level dimension of bank performance should be factors that bank managers can control to improve their performance.
While efficiency can be a direct determinant of bank performance bank regulation and stability which are external to the bank management can be used as control variable in your model.
I pretty much agree with Peterson K Ozili above concerning bank efficiency and regulation. The latter completely depends on monetary and even political authorities, therefore, it cannot really be an endogenous dimension of bank performance. However, it is true that as an exogenous dimension, it can affect bank performance. In modelling terms, I would surely test bank performance with the same model but different databases, one for an X system of regulation and another for an Y system of regulation.
Now, concerning bank stability, things get a little bit complicated. What do you mean by stability? Because, you know, stability can simply refer to the evolution of performance. In this case, it is not really about being a determinant or not of performance, but a qualitative feature of it. Nothing else.
If by stability, you refer to that of the bank system as a whole, then Peterson is right again. This is an exogenous determinant as it depends a lot on monetary policy and conjuncture.
Finally, if by stability you mean resilience in terms of reserves or capital, then you should probably drop the "stability" term and use resilience or robustness.
I am working on bank regulation (Balle II certainly) and their impact on the stability and effectiveness of Islamic banks in the Mauritanian context (19 commercial banks in activities including 5 Islamic banks the rest of the banks have Islamic windows or offers of Sharia-compliant products).
To measure the effectiveness I want to use the DEA method which is commonly used in literature, stability index Z-score and for impact I want to use regressions. As originality I want combined with it the comparative method (comparative quali-quantitative analysis of Charles Ragin).
The problem that arises for me is how to have a conceptual model for my three concepts (regulation, efficiency, stability) and I can elaborate two conceptual models (one for Islamic banks, the other for classical banks) and Test in the Mauritanian context that is particular (country 100% of Muslims with a conventional banking system) or there are already models that I can use.
I think bank performance may be judged in terms of regular banking activities and value added functions like online banking, social cause banking, employment generation and so on.
Banking regulations , Stability and efficiency are the factors impacting bank performance.
Bank performance is judged not only in terms of regular functions , but also value addition to bank service i.e. social cause service, online banking etc. regulations,stability and efficiency are determinants of performance.