weibull.hpp

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// toolboxes/stats/include/nk/stats/distributions/weibull.hpp
//
// Weibull distribution. Convention: a = scale, b = shape, so
// f(x) = (b/a)·(x/a)^(b-1)·exp(-(x/a)^b). Note std::weibull_distribution
// takes (shape, scale) — opposite order.
 
#pragma once
 
#include <memory_resource>
#include <nk/value/value.hpp>
 
#include <tuple>
 
namespace nk {

 namespace ops { class RngContext; } }
 
namespace nk::stats {

Value wblpdf(const Value &x, double a, double b,
             std::pmr::memory_resource *mr = nullptr);

Value wblcdf(const Value &x, double a, double b,
             std::pmr::memory_resource *mr = nullptr);

Value wblinv(const Value &p, double a, double b,
             std::pmr::memory_resource *mr = nullptr);

Value wblrnd(::nk::ops::RngContext &rng, double a, double b, size_t rows = 1, size_t cols = 1,
             std::pmr::memory_resource *mr = nullptr);

std::tuple<double, double> wblstat(double a, double b);

Value wblfit(const Value &x, std::pmr::memory_resource *mr = nullptr);

Value wblfit(const Value &x, const Value &censoring, const Value &freq,
             std::pmr::memory_resource *mr = nullptr);

Value wblfit_ci(const Value &x, double alpha = 0.05,
                std::pmr::memory_resource *mr = nullptr);

Value wblfit_ci(const Value &x, double alpha,
                const Value &censoring, const Value &freq,
                std::pmr::memory_resource *mr = nullptr);
 

} // namespace nk::stats