The choice of variance function is shown to be important in constructing prediction limits and calculating measures of assay performance such as the MDC, RDL and precision profile. S-PLUS functions for four-par
· n i i αβγλ(γ x )α−1(1 + (γ x )α)β−1e−(n−i+1)λ((1+(γ x)α)β −1) 1 − e−λ((1+(γ x)α)β −1) i−1 For the Gompertz-Log-Logistic{Gompertz}I distribution with parameters (α, β, γ , λ), the order statistics have ...
Shayan Z Ayatollahi SMT and Zare N. A parametric method for cumulative incidence modeling with a new four-parameter log-logistic distribution. Theor Biol Med Model 2011; 8: 3.JP: Parametric regression on cumulative incidence function. Biostatistics 2007, 8:184-196. doi:10.1186/1742-4682-8-43...
four-parameter logistic modelpower familyFor many laboratory assays, the readouts are presence or absence of a particular function, and the binary outcomes are correlated. The research interest is often focused on the estimation of titers, at which 50% positivity occurs. The classical approach by ...
The results showed that the four-parameter BDF has higher accuracy than the conventional log-logistic function. The results of the extraction of SPEI showed that drought intensity in the eastern regions of Iran during the statistical period of 1973鈥 2011 has increased and almost 26% of the ...
Weibull-Logistic distributionQuantile functionlikelihood functionsLocation familyThis study introduced the four-parameter Weibull-Logistic distribution using the T-R{Y} framework based on the standard quantile function of exponential distribAkarawak, Eno E.E....
A few new distributions forr-largest order statistics are also derived as special cases of the rK4D, such as ther-largest logistic, ther-largest generalized logistic, and ther-largest generalized Gumbel distributions. These distributions forr-largest order statistics would be useful in modeling ...
Several known statistical distributions including Beta, Weibull, Normal, Logistic and Gamma were explored with Maximum Likelihood Estimation (MLE) and evaluated using model selection criteria as AIC and BIC. Goodness of Fits were evaluated using Kolmogorov-Smirnov Test (K-S), Cramer-Von Mises ...
We introduce the cauchit IRT model (i.e., a model that utilizes a link function based on the Cauchy distribution) as a compelling parsimonious alternative to the 4PLM. Through comprehensive simulation studies and real-data analysis, we determine that the cauchit model, distinguished by its ...
Several known statistical distributions including Beta, Weibull, Normal, Logistic and Gamma were explored with Maximum Likelihood Estimation (MLE) and evaluated using model selection criteria as AIC and BIC. Goodness of Fits were evaluated using Kolmogorov-Smirnov Test (K-S), Cramer-Von Mises ...