Cosine Fréchet Loss Distribution: Properties, Actuarial Measures and Insurance Applications
In this paper, the cosine Fréchet loss distribution is proposed as a modified version of the Fréchet using the cosine F-Loss generator. The statistical properties and actuarial measures are studied. The maximum likelihood estimators are studied and simulations carried out to ascertain the behavior of the estimators. It is observed that the estimators are consistent. […]
Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution
This paper focuses on Bayesian estimation for the shape parameters, reliability and hazard rate functions of the exponentiated inverted distribution. Bayesian estimation is performed under two different loss functions. The Bayes estimators are derived under the squared error loss function as a symmetric loss function and the linear-exponential loss function as an asymmetric loss function, […]
Exponentiated Generalized Weibull Exponential Distribution: Properties, Estimation and Applications
Real-life sciences rely heavily on statistical modeling because new applications and phenomena pop up constantly, increasing the demand for new distributions. In this article, the exponentiated generalized Weibull exponential (EGWE) distribution is proposed and studied. The density can exhibit decreasing, increasing, right-skewed, and left-skewed shapes. The hazard rate function shows decreasing, J-shaped, bathtub, and upside-down […]
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 […]