Choosing Distribution Parameters From Data
A quick framework for estimating parameters and validating model fit in applied analysis.
Try This In The Plotter
Jump directly into the interval probability workflow and apply this guide on a live distribution chart.
Open Interactive Interval ProbabilityStart With The Data Generating Process
Match candidate distributions to variable type and mechanism: counts, times, bounded ratios, or symmetric measurement noise.
This step avoids overfitting and reduces trial-and-error.
Estimate Parameters
Use sample statistics as first estimates (mean, variance, proportion).
Then refine with maximum likelihood or domain-specific constraints when needed.
Validate Fit
Check residual patterns, QQ behavior, and whether tail behavior matches your risk use case.
If fit is poor, compare alternatives and document tradeoffs.