Study on an Extension to Lindley Distribution: Statistical Properties, Estimation and Simulation
Recently, Nedjar and Zeghdoudi [6] proposed a new lifetime model called gamma Lindley distribution. Roozegar and Nadarajah [8] introduced some notes around gamma Lindley distribution including only some statistical properties and estimations depending on the same probability density function which proposed by Nedjar and Zeghdoudi [6]. In fact, the model proposed by Nedjar and Zeghdoudi […]
Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution
The ”Akshaya distribution” is a model one-parameter continuous distribution that has been proposed by [15] for modelling lifetime data from biological research and engineering. This paper presents both the classical and Bayesian estimation methods for the Akshaya’s parameter. The model parameter is determined using the weighted least square estimation (WLSE), least square estimation(LSE), Cramer-von-Mises estimation(CVME), […]
Application of Environmental Data with New Extension of Nadarajah-Haghighi Distribution
The sin extension of the exponential (SExEx) or sin Nadarajah-Haghighi (SNH) distribution, a new extension of the exponential distribution with two parameters, is introduced and studied in this paper. For the SNH distribution, the hazard, survival functions and some sumarized data are explored. Methods for estimating the SNH distribution parameters using maximum likelihood estimation (MLE) […]
Moments of Dual Generalized Order Statistics and Characterization for Transmuted Exponential Model
The relationships for moments of dual generalized order statistics (DGOS) for a transmuted exponential (TEx) model are given in this study. These relations are useful when determining the single and product moments of DGOS for a TEx model recursively. Some expressions for recursive computation of moments for special cases of DGOS from a TEx model […]
Order Statistics of Inverse Pareto Distribution
In this paper we study the distribution of order statistics of the inverse Pareto distribution. We consider the single and product moment of order statistics from inverse Pareto distribution. Also, we establish some recurrence relation for single moments of order statistics. The exact analytical expressions of entropy, residual entropy and past residual entropy for order […]
A New Approach for Model Selection with Two Qualitative Regressors
In social science and statistical literature, ordinal qualitative dependent variable models have received substantial attention in terms of theory and application. However, linear models with ordinal qualitative regressors have been overlooked. In this paper, we propose an approach to regression model selection with two-qualitative regressors, which will be used to build a technique for selecting […]
On the Extension of the Burr XII Distribution: Applications and Regression
In this paper, we introduce a new four-parameter mixture distribution called the Harmonic Mixture Burr XII distribution. The proposed model can be used to model data which exhibit bimodal shapes or are heavy-tailed. Specific properties like non-central and incomplete moments, quantile function, entropy, mean and median deviation, mean residual life, moment generating function, and stress-strength […]
Bayesian and Non-Bayesian Inference for The Generalized Power Akshaya Distribution with Application in Medical
Generalized power Akshaya distribution is a brand-new two-parameter distribution that builds on the Akshaya distribution first introduced by \cite{Ramadan}. The lifetime data is intended to be modelled by this distribution. The generalised power Akshaya’s parameters are estimated using both the conventional and Bayesian approaches in this work. The weighted least square estimation (WLSE), least square […]
A Simple Introduction to Regression Modeling using R
In statistical modeling, regression analysis is a group of statistical processes used in R programming and statistics to determine the relationship between dataset variables. It is a solid technique for determining the factors that affect an issue of interest. You can confidently establish which elements are most important, which ones can be ignored, and how […]
Chen Burr-Hatke Exponential Distribution: Properties, Regressions and Biomedical Applications
Accurately modeling lifetime data is very important for appropriate decision making in health and biomedical fields. This usually requires the use of distributions. However, no single distribution can model all types of data. Hence, the development of distributions with appropriate usefulness is very important for modeling purposes. In this study, a new lifetime distribution, known […]