Why do you want to include approximately 5 cryptocurrencies? That is an arbitrary decision for an academic study. If only 2 qualify, why would you use more? If 7 are roughly equivalent, then how can you justify removing 2?
On what basis are decentralisation and anonymity not related to emerging market use? Hyperinflation has been a major economic factor in currencies. That is only possible with a centralised currency. Anonymity is also very important in the emerging markets, which are more known for corruption. There is no public ledger with existing fiat currencies. If a cryptocurrency is going to complement another currency's use, suddenly there are opportunities for exploitation that did not exist before.
When you say inflation rate, I am assuming you mean cryptocurrencies that are inflationary? I believe that eliminates bitcoin, ethereum, and litecoin from your list. Monero is inflationary, and I'm not sure which of the other ones are.
That is an arbitrary number, indeed, and I wont include cryptocurrencies that couldn't possibly be used as a currency. Maybe I will end up having one cryptocurrency - or ten.
You are correct when you mention ethereum, bitcoin and litecoin, and that is partly what I will explore; to see how the different cryptocurrencies could be used (perhaps pegged, perhaps used in international trade) as a complement to some emerging market currencies. I will, for instance, look into things such as the sharpe and sortino ratios (risk-adjusted return), international transaction costs, correlations between the currencies and so on. My study aim to look into the different usage of the cryptocurrencies, and which fiat currency/ies to support.
I'm fully aware of the problem with centralization and I agree with you. However, it's not relevant in my case since it doesn't imply that you cannot use it as a currency - which is the only thing I care about. It could also be difficult to quantify. But we'll see.
Thanks for the comment!