Step 1: The thermal stability of hydrogen halides increases as we go down the group due to weaker H-X bonds. Step 2: \( \text{HI} \) is the most stable due to the weakest bond, and \( \text{HF} \) is the least stable due to the strong H-F bond.
Final Answer:
\[
\boxed{\text{HI}>\text{HCl}>\text{HF}>\text{HBr}}
\]