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 […]
On New Three- and Two-Dimensional Ratio-Power Copulas
In recent decades, a great variety of dependence models for data analysis have been elaborated. Among them, those based on copulas have demonstrated a great ability to capture the possible dependence between quantitative measures. The three-dimensional case has received particular interest in several important applications in the last few years. The most commonly used three-dimensional […]
On Joint Type-II Generalized Progressive Hybrid Censoring Scheme
This paper discussed a new scheme is called joint Type-II generalized progressively hybrid censoring scheme (JGPHCS-II). It assumed that the lifetime distribution of the items from the two populations follow exponential distribution. Based on the JGPHCS-II , we first consider the maximum likelihood estimators of the unknown parameters along with thier asymptotic confidence intervals. Next, […]
Extensions of Two Bivariate Strict Archimedean Copulas
The copula approach provides an option for capturing the structure of dependence between two quantitative variables. This approach is based on special bivariate functions called copulas. In brief, a copula can be presented as a “functional print” of a structure of dependence. Among the numerous types of copulas, the strict Archimedean copulas are the most […]
The Length-Biased Weighted Exponentiated Inverted Exponential Distribution: Properties and Estimation
This paper introduces the length-biased weighted exponentiated inverted exponential distribution with sub models. The basic statistical properties are derived such as mean, mode, variance, reliability functions, moment generating function, characteristic function and order statistic distribution. Furthermore, maximum likelihood estimators of distribution parameters are obtained under censored Type I. Numerical study is applied. Variance-covariance matrix is […]