A new flexible extension of the generalized half-normal lifetime model with characterizations and regression modeling

Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2018, Vol 6, Issue 1

Abstract

In this paper, we introduced a new flexible extension of the Generalized Half-Normal lifetime model as well as a new log-location regression model based on the proposed model. Some useful characterization results are presented and some mathematical properties are derived. The maximum likelihood method is used to estimate the model parameters by means of a graphical Monte Carlo simulation study. We show that the new log-location regression lifetime model can be very useful in analysing real data and provide more realistic fits than other regression models. Index plot of the modified deviance residual and Q-Q plot for modified deviance residual are presented to illustrate that our new model is more appropriate to HIV data set than other competitive models like log-odd log-logistic generalized half-normal regression model and log-generalized half-normal regression model. The sensitivity analysis is used via the index plot of generalized cook distance to discover the possible influential observations.

Authors and Affiliations

Emrah Altun, Haitham M. Yousof, G. G. Hamedani

Keywords

Related Articles

A globally convergent method for nonlinear least-squares problems based on the Gauss-Newton model with spectral correction

This work addresses a spectral correction for the Gauss-Newton model in the solution of nonlinear least-squares problems within a globally convergent algorithmic framework. The nonmonotone line search of Zhang and Hager...

Fitting of parameters for a temperature control model by means of continuous derivative-free optimization: a case study in a broiler house

Intensive broiler production requires of accurate control systems aimed to maintain ideal conditions inside the facilities. The achievement of an appropriate environment guarantees good performance and sustainability of...

Sparse approximations of matrix functions via numerical integration of ODEs

We consider the numerical computation of matrix functions f(x) via matrix ODE integration. The solution is modeled as an asymptotic steady state of a proper differential system. The framework we propose, allows to define...

Transitivity of parametric family of cardinality-based fuzzy similarity measures using Lukasiewicz t-norm

In fuzzy logic, where members of a set might be linguistic terms, the degree of reflexivity might be in unit interval [0,1] instead of {0,1}. This behaviour of a fuzzy set plays an important role especially in the field...

A positive spectral gradient-like method for large-scale nonlinear monotone equations

In this work, we proposed a combine form of a positive spectral gradient-like method and projection method for solving nonlinear monotone equations. The spectral gradient-like coefficient is obtained using a convex combi...

Download PDF file
  • EP ID EP356826
  • DOI -
  • Views 114
  • Downloads 0

How To Cite

Emrah Altun, Haitham M. Yousof, G. G. Hamedani (2018). A new flexible extension of the generalized half-normal lifetime model with characterizations and regression modeling. Bulletin of Computational Applied Mathematics (Bull CompAMa), 6(1), 83-115. https://europub.co.uk/articles/-A-356826