The Tevatron is expected to be most sensitive to the Standard Model Higgs in its associated production with a W or Z boson. The Collider Detector at Fermilab (CDF) has performed individual searches for such production in each decay channel of the vector boson, assuming that the Higgs decays to $b\bar{b}$. These searches use data collected by CDF during the 1992-95 run. The individual results are reviewed, and a combined cross section limit ie presented.

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