Huber Robust Location Calculator
Estimate a robust location with an entered fixed scale and Huber score cutoff.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Bracket the monotone score between sample extrema and solve the fixed-scale convex location problem.
Solve Σ clip((x−location)/scale,−cutoff,+cutoff)=0
Worked example
For1,2,3,4,100 with scale1 and cutoff1.5, a score root is location3.
Assumptions and input details
Scale is supplied and is not jointly estimated. If the convex optimum has a flat interval, one midpoint root is returned. Robustness does not identify invalid records or establish a population confidence interval.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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