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Distributions

1 tool in the Statistics area.

Distribution Fitting

Fits the normal, lognormal, two-parameter Weibull, exponential and gam⁠ma distributions (and optionally the three-parameter Weibull) to one pasted sample by maximum likelihood, with standard errors, log-likelihood, AIC, AICc and BIC and a ranking by AIC; tests each fit by the Anderson–Darling statistic with the D'Agostino–Stephens modification and p-value and the MIL-HDBK-17 observed significance level, the Kolmogorov–Smirnov D with the Lilliefors correction and a χ² test on equiprobable classes; Shapiro–Wilk normality (Royston AS R94); the percentile table of every fit; normal tolerance limits (one-sided by the noncentral t, two-sided exact, Howe and Wald–Wolfowitz), nonparametric order-statistic limits; and the CMH-17 / MIL-HDBK-17 A-basis and B-basis values by the Weibull, normal, lognormal and nonparametric (Hanson–Koopmans or rank) methods with the handbook's selection rule. The default sample is Problem 1 of MIL-HDBK-17-1F Section 8.3.7 (30 compressive strengths), whose printed Weibull parameters, Anderson–Darling statistic and B-basis value of 104.41 the page reproduces.

4 worked examples reproduced, listed on the tool page.

Other Statistics sections

Descriptive and Outliers · Hypothesis Tests · Regression and Modelling · Forecasting · Surveys and Sampling · Uncertainty and Monte Carlo · Probability