CHEN-STEIN METHOD

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The Chen-Stein method gives a bound of the total variation distance between the distribution of a sum of non i.i.d. Bernoulli variables tex2html_wrap_inline55, tex2html_wrap_inline57, and the distribution of a Poisson variable with parameter tex2html_wrap_inline59.
Let tex2html_wrap_inline61 and let tex2html_wrap_inline63 be a neighborhood of i.
Chen-Stein theorem says that

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where
eqnarray21

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Finding words with unexpected frequencies in DNA sequences. 11.9.98 Page: 9 of 21