Struct Cloglog

pub struct Cloglog {}

The complementary log-log link g(p) = log(-log(1-p)) is appropriate when modeling the probability of non-zero counts when the counts are Poisson-distributed with mean lambda = exp(lin_pred).

Trait Implementations

impl Link<Logistic<Cloglog>> for Cloglog

fn func<F: Float>(y: F) -> F

Maps the expectation value of the response variable to the linear predictor. In general this is determined by a composition of the inverse natural parameter transformation and the canonical link function.

fn func_inv<F: Float>(lin_pred: F) -> F

Maps the linear predictor to the expectation value of the response.

impl Transform for Cloglog

fn nat_param<F: Float>(lin_pred: Array1<F>) -> Array1<F>

The natural parameter(s) of the response distribution as a function of the linear predictor. For canonical link functions this is the identity. It must be monotonic, invertible, and twice-differentiable. For link function g and canonical link function g_0 it is equal to g_0 ( g^{-1}(lin_pred) ) .

fn d_nat_param<F: Float>(lin_pred: &Array1<F>) -> Array1<F>

The derivative of the transformation to the natural parameter. If it is zero in a region that the IRLS is in the algorithm may have difficulty converging.

fn adjust_errors_variance<F: Float>( errors: Array1<F>, variance: Array1<F>, lin_pred: &Array1<F>, ) -> (Array1<F>, Array1<F>)

Adjust the error and variance terms of the likelihood function based on the first and second derivatives of the transformation. The adjustment is performed simultaneously. The linear predictor must be un-transformed, i.e. it must be X*beta without the transformation applied.