Concept:
The question involves trends in thermal stability, bond strength and acidity. These trends arise from changes in bond length, bond strength and oxidation state.
Step 1: Check Statement I.
Thermal stability of hydrogen halides depends on H--X bond strength.
As we move down the group:
\[
F \rightarrow Cl \rightarrow Br \rightarrow I
\]
bond length increases and bond strength decreases.
Therefore:
\[
HF>HCl>HBr>HI
\]
Thus Statement I is correct.
Step 2: Check Statement II.
Bond dissociation enthalpy of hydrides of Group 16 decreases down the group because atomic size increases.
Hence:
\[
H_2O>H_2S>H_2Se>H_2Te
\]
Therefore Statement II is correct.
Step 3: Check Statement III.
For oxyacids of chlorine:
\[
HOCl,\ HClO_2,\ HClO_3,\ HClO_4
\]
Acidity increases with oxidation state of chlorine.
Oxidation states:
\[
+1,\ +3,\ +5,\ +7
\]
Therefore:
\[
HClO_4>HClO_3>HClO_2>HOCl
\]
Hence Statement III is also correct.
Step 4: Final conclusion.
All three statements are correct.
\[
\boxed{\text{I, II and III}}
\]