As recently as 2003, Kenmore — a private brand owned by Sears Holdings (NASDAQ: SHLD) — held a 27% share of the U.S. appliance market. However, with customer traffic and sales in a long-term downward spiral at Sears, Kenmore’s market share has plunged. Kenmore’s very limited distribution outside of Sears stores has clearly had a dramatic impact on its sales.