The Topp-Leone Burr-XII Distribution: Properties and Applications
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 5
Abstract
In this paper we introduce a new generalization of the Burr-XII distribution using the genesis of the Topp-Leone distribution and is named as Topp-Leone Burr-XII (TLBXII) distribution. The statistical properties of this distribution including the mean, variance, coefficient of variation, quantile function, median, ordinary and incomplete moments, skewness, kurtosis, moment and probability generating functions, reliability analysis, Lorenz, Bonferroni and Zenga curves, Rényi of entropy and order statistics are studied. We consider the method of maximum likelihood for estimating the model parameters and the observed information matrix is derived. Three real data sets are presented to demonstrate the effectiveness of the new model.
Authors and Affiliations
Hesham M. Reyad, Soha A. Othman
Keywords
Related Articles
- EP ID EP321886
- DOI 10.9734/BJMCS/2017/33053
- Views 200
- Downloads 0
An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations
In this paper, Aboodh transform which is based on the Adomian decomposition method (AADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. This method is v...
Global Dynamics and Traveling Waves of a Delayed Diffusive Epidemic Model with Speci c Nonlinear Incidence Rate
In this paper, we investigate the global stability and the existence of traveling waves for a delayed di usive epidemic model. The disease transmission process is modeled by a speci c nonlinear function that covers many...
Full Observability Criteria for Linear Impulsive Control Systems with Application to Diabetes Type I Dynamics
The main goal of this paper is to derive a full characterization of the observability of linear time-invariant impulsive systems. Two cases are studied. The rst case considers continuous outputs. A suitable adapted Kalm...
Boundary Layer Analysis of Unsteady Forced Convection of a Newtonian Fluid with Variable Thermo-physical Properties in the Presence of Induced Magnetic Field
This paper attempts to effectively model the effects of variable viscosity and thermal conductivity on the unsteady hydromagnetic boundary layer flow past a semi-infinite plate when the oncoming free-stream is perturbed...
Predictive Estimator for Simple Regression
The predictive estimator of the gradient in simple regression is assumed to be the product of the gradient given by least-squares fitting and a constant (ρ). The results of numerical simulations show that when generalize...