Distribution of Logit-type Link Function in a Generalized Quantilebased Asymmetric Distributional Setting
Keywords:Logit-type link function, quantile estimation, quantile-based asymmetric family of distributions, SARS-CoV-2, COVID-19
The article discusses the distribution of the logit-type link function for estimating quantile function in a generalized distributional setting. Besides this, the important properties including the quantile function of the proposed distribution are specified. In addition, the estimation of quantile function in a generalized quantile-based asymmetric family of the distributional framework via logit-type link
function is proposed. The proposed method is illustrated in an actual data application concerning the daily proportion of SARS-CoV-2 infected people tested for COVID-19 infection.
Jones MC. On families of distributions with shape parameters. Int Stat Rev. 2015; 83(1): 175–192.
Karim RM. Study of a family of asymmetric densities and flexible quantile regression. PhD [dissertation]. KU Leuven & Hasselt University; 2019.
Gijbels I, Karim R, Anneleen V. Quantile estimation in a generalized asymmetric distributional setting. In: Steland A, Rafajłowicz E, Okhrin O. Stochastic Models, Statistics and Their Application. SMSA 2019. Springer Proceedings in Mathematics & Statistics, vol 294; pp. 13-40.
Steland A and Rafajłowicz E, and Okhrin O. Stochastic Models, Statistics and Their Applications.
SMSA 2019. Springer Proceedings in Mathematics & Statistics, vol. 294.
Fan, Jianqing and Gijbels I. Local Polynomial Modelling and Its Applications. London: Chapman &
Koenker R. Quantile regression. New York: Cambridge University Press; 2005.
Komunjer I. Quasi-maximum likelihood estimation for conditional quantiles. J Econom. 2005;
Koenker R, Bassett Jr G. Regression quantiles: Econometrica. 1978; 33-50.
Komunjer I. Asymmetric power distribution: Theory and applications to risk measurement. J Appl
Econ. 2007; 22(1): 891-921.
Gijbels I, Karim R, Anneleen V. On Quantile-based Asymmetric Family of Distributions: Properties
and Inference. Int Stat Rev. 2010; 87(3): 471-504.
Bottai M, Cai B and McKeown RE. Logistic quantile regression for bounded outcomes. Stat Medi.
; 29(2): 309-317.
Columbu S , Bottai M. Logistic Quantile Regression to Model Cognitive Impairment in Sardinian
Cancer Patients. In: Battista DT, Moreno E, Racugno W. Topics on Methodological and Applied
Statistical Inference. Springer. 2016; 65-73
How to Cite
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.