DistributionFits

[comment]: # (```@autodocs)

[comment]: # (Modules = [DistributionFits])

[comment]: # (```)

taken care of in index.md called only internally from fit, documented in docstring via ","

fit(D, val, qp, ::Val{stats} = Val(:mean))

Fit a statistical distribution to a quantile and given statistics

Arguments

D: The type of distribution to fit
val: The value of statistics
qp: QuantilePoint(q,p)
stats Which statistics to fit: defaults to Val(:mean). Alternatives are: Val(:mode), Val(:median)

Examples

d = fit(LogNormal, 5.0, @qp_uu(14));
(mean(d),quantile(d, 0.975)) .≈ (5,14)

d = fit(LogNormal, 5.0, @qp_uu(14), Val(:mode));
(mode(d),quantile(d, 0.975)) .≈ (5,14)

fit(D, val, qp, ::Val{stats} = Val(:mean))

Fit a statistical distribution to a quantile and given statistics

Arguments

D: The type of distribution to fit
val: The value of statistics
qp: QuantilePoint(q,p)
stats Which statistics to fit: defaults to Val(:mean). Alternatives are: Val(:mode), Val(:median)

Examples

d = fit(LogNormal, 5.0, @qp_uu(14));
(mean(d),quantile(d, 0.975)) .≈ (5,14)

d = fit(LogNormal, 5.0, @qp_uu(14), Val(:mode));
(mode(d),quantile(d, 0.975)) .≈ (5,14)

fit(D, val, qp, ::Val{stats} = Val(:mean))

Fit a statistical distribution to a quantile and given statistics

Arguments

D: The type of distribution to fit
val: The value of statistics
qp: QuantilePoint(q,p)
stats Which statistics to fit: defaults to Val(:mean). Alternatives are: Val(:mode), Val(:median)

Examples

d = fit(LogNormal, 5.0, @qp_uu(14));
(mean(d),quantile(d, 0.975)) .≈ (5,14)

d = fit(LogNormal, 5.0, @qp_uu(14), Val(:mode));
(mode(d),quantile(d, 0.975)) .≈ (5,14)

internals

compute mean over a function(uniformly distributed probabilities)

used to estimate moments of logitnorm

objective function used by matchModeUpper(LogitNormal,...)

[comment]: # (fit(Type{LogNormal}, Any, AbstractΣstar))