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Statistics · Distributions

Probability Distribution Finder Calculator

Narrow candidate distribution families from outcome type, support, generating process, sampling structure, and observed shape clues.

Statistics · Distributions

Enter your statistical inputs

Private in-browser calculation · explicit assumptions

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

Poisson as a starting count model

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.

Quick guide

How to use this calculator

  1. Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
  2. Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
  3. 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.

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