Show that for Sn defined by (3.76), P0(Sn = 0) = ηn > 0 under θ0 = 0 for every finite n (≥ 1). However, ηn → 0 as n → ∞. Show that for every {j1 6= ... 6= jk} ⊂ {1,... ,n}, where n [k] = n...(n − k +...

Show that for Sn defined by (3.76), P0(Sn = 0) = ηn > 0 under θ0 = 0 for every finite n (≥ 1). However, ηn → 0 as n → ∞.

Show that

for every {j1 6= ... 6= jk} ⊂ {1,... ,n}, where n [k] = n...(n − k + 1).