By Howard Schneider

WASHINGTON (Reuters) -U.S. firms were shedding more than 11,000 jobs a week through late October, payroll processor ADP said on Tuesday in its latest real-time estimate of job market trends.

Though an ADP report last week estimated the U.S. overall added 42,000 jobs in October versus the month before, the new estimates show how hiring trends are evolving on a week-to-week basis – in this case pointing to further weakening in a labor market being closely monitored by Federal Reserve policymakers.

“The labor market struggled to produce jobs consistently during the second half of the month,” said Nela Richardson, ADP’s chief economist. ADP recently began issuing weekly payroll estimates as a way to augment its monthly jobs report.

The data could reinforce some Fed poli

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