Le Cam's Theorem
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Suppose:
''X''
1
, ..., ''X''
''n''
are
Independent
Random Variable
s, each with a
Bernoulli Distribution
(i.e., equal to either 0 or 1), not necessarily identically distributed.
Pr(''X''
''i''
= 1) = ''p''
''i''
for ''i'' = 1, 2, 3, ...
\lambda_n = p_1 + \cdots + p_n.\,
S_n = X_1 + \cdots + X_n.\,
Then
