Bayesian and Non-Bayesian Estimation for the Shape Parameters of New Versions of Bivariate Inverse Weibull Distribution based on Progressive Type II Censoring
The inverse Weibull (IW) distribution can be applied to a wide range of situations including applications in ecology, medicine, and reliability. Moreover, IW distribution gives a good fit to survival data such as the times to breakdown of an insulating fluid subject to the action of constant tension. In this paper, two new versions of […]
Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation
The families of distributions are crucial in statistical modeling, offering a versatile foundation for a variety of applications. The development of bivariate distributions with specific marginal distributions and correlation coefficients is of considerable interest due to its wide-ranging relevance in real-world situations. The range of correlation between variables is an important characterization of the family. […]
On a Bivariate Bounded Distribution: Properties and Estimation
Recently, a new distribution with bounded support called unit Gompertz has been derived by taking an exponential transformation from the parent Gompertz distribution. This distribution has right-skewed (unimodal) and reversed-J shaped density. Moreover, the hazard rate has constant, increasing, bathtub and upside-down bathtub. In this paper, the bivariate extension for this new distribution is introduced […]
Estimation of the Topp-Leone Alpha Power Weibull Distribution Based on Lower Record Values
This article focuses on obtaining the maximum likelihood and Bayes estimators of the Topp-Leone alpha power Weibull distribution based on lower record values. The unknown parameters are estimated by applying the maximum likelihood approach based on lower record values. Also, the Bayesian method is utilized using gamma distribution as an informative prior to obtain the […]
Comparative Assessment of Several Effective Machine Learning Classification Methods for Maternal Health Risk
By analyzing maternal age, heart rate, blood oxygen level, blood pressure, and body temperature, it has the potential to evaluate the risk complexity for certain patients. Early identification and classification of risk variables can successfully prevent pregnancy-related issues by reducing the number of errors. Maternal risk analysis can improve prenatal care, improve mother and baby […]
Inference for Generalized Progressive Hybrid Type-II Censored Weibull Lifetimes under Competing Risk Data
The competing risks model plays a pivotal role in the analysis of various domains, including engineering, econometrics, and biology. When a product being tested is likely to fail due to multiple factors, these factors conflict with each other to precipitate product failure. This situation is referred to as the competing risks problem. This paper specifically […]
Different Approaches for Outlier Detection in Life Testing Scenarios
Sometimes the data to be analyzed is not complete, and this may be due to censoring. There are two type of censoring, namely Type I and Type II. Whether the censoring was intentional or accidental, it is no guarantee that the data does not include suspected observations (too small or too large). Theses suspected observations […]
On the Exchangeability Property in Causal Models
Exchangeability is one of the most important concepts in Bayesian probability theory [7], as well as in causal analysis, particularly within the theory based on the potential outcomes (see [18, 21, 23, 15]). In this paper, we propose a way to make explicit the link between the two concepts. We show they are almost coincident […]
Three-Dimensional Copulas: A Generalized Convex Mixture Copulas Strategy
Copulas are multi-dimensional probabilistic functions that play a crucial role in modeling complex dependence structures between random variables. The theory and applications of the three-dimensional case have attracted considerable interest in recent years. This article discusses recent developments in this specific topic and innovates in some aspects. More precisely, the first part proposed to fill […]
Statistical Properties of a Generalization Erlang Truncated Exponential Distribution with Applications and Its Bivariate Extension
Using power exponentiated family, this paper introduces the New Power Exponentiated Erlang-Truncated Exponential distribution as a new generalization of the Erlang-Truncated Exponential distribution. The suggested distribution has constant and increasing shapes for hazard rate function. Numerous structural characteristics are derived, including quantile function, moments, moment generating function, behavior of hazard, reversed hazard and cumulative hazard […]