The finder narrows candidate models from support, process, sampling structure, and shape. It does not prove model fit.
count→events→same→symmetric
1EnterProvide the known values
2CalculateResults update automatically
3VerifyReview the details and units
Try an example
Enter plain numbers without measurement units. Datasets accept commas, spaces, semicolons, or line breaks and are limited to 10,000 values. Results stay in this browser.
Candidate distribution family
Calculated resultCalculated from the values currently entered
Understand and verify
Suggested starting point: Poisson as a starting count model
Useful comparisons: Negative binomial for overdispersion; zero-inflated model for a defensible structural-zero state; Skellam for a difference of two counts
Decisive next checks: Compare mean and variance, exposure, zero frequency, independence, rate stability, and whether counts arise from trials or an event process.
Finder limitation: A recommendation is not a fitted model, parameter estimate, or goodness-of-fit result.
Your entries are calculated in this browser and are not submitted to 365CALCS.COM.
What the probability distribution finder calculator models
Choosing candidates from the data-generating question. Support and process eliminate impossible models before shape is considered. A candidate still needs graphical checks, subject knowledge, and model diagnostics.
1Identify possible outcome values2Describe the generating and sampling process3Compare defensible candidates and check fit
Density and cumulative rule
The finder applies a decision map; it does not estimate parameters or perform goodness-of-fit testing.
A density height is not itself a probability. Continuous probability is the area accumulated across an interval.
Interpretation and limits
A candidate is a hypothesis to investigate with process knowledge, diagnostic plots, fit measures, and sensitivity analysis—not a final selection.
Model boundary: Selections describe the real data-generating task accurately; no short questionnaire can establish independence, stationarity, fit, or scientific validity.
Quick guide
How to use this calculator
Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.
Calculation method
How the probability distribution finder calculator works
The finder applies a decision map; it does not estimate parameters or perform goodness-of-fit testing.
A candidate is a hypothesis to investigate with process knowledge, diagnostic plots, fit measures, and sensitivity analysis—not a final selection.
Worked example
Probability Distribution Finder example
A nonnegative event count over fixed exposure with a stable rate suggests Poisson as a starting model, then dispersion and zero frequency need checking.
The finder applies a decision map; it does not estimate parameters or perform goodness-of-fit testing.
Supported inputs
Precision and limits
Model and design
Selections describe the real data-generating task accurately; no short questionnaire can establish independence, stationarity, fit, or scientific validity.
Numerical scope
Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.
Interpretation
A candidate is a hypothesis to investigate with process knowledge, diagnostic plots, fit measures, and sensitivity analysis—not a final selection.
Decision boundary
The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.
Privacy
Entered values and calculated results stay in this browser and are not sent to an analytics service.
