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An entropy transformed Weibull extended distribution for real world data analytics
Proliferation of data all over the world requires the development of advance methodologies. These methodologies provide frameworks for the analysis of complex data with a high degree of accuracy. In response to the need for accurate methodologies, this study proposes a new distribution using entropy transformation, called the entropy transformed generalized new extended Weibull distribution. […]
A novel family of continuous–discrete bivariate distributions
This paper proposes a new family of bivariate distributions designed to jointly model one continuous and one discrete random variable using the Farlie-Gumbel-Morgenstern (FGM) copula. Such mixed distributions are increasingly important in real-world applications where time-based and count-based data types interact in domains like telecommunications, technical maintenance, and customer services instances. The proposed framework represents […]
Infectious spread probability of SIS model in a city network using master equations
The spread of infectious diseases in urban regions is governed not only by local transmission mechanisms but also by intercity connectivity patterns. This study models disease dynamics as a stochastic network process. The aims are twofold: the first is to determine the probability of a city network being in a given state, and the second […]
Fisher information in bivariate ordered data for the Kimeldorf-Sampson family: Applications to computer system degradation data
This paper investigates the Fisher information (FI) structure of the Kimeldorf–Sampson (KS) bivariate family and its role in parameter estimation and reliability inference. While the KS copula has been used to model weakly dependent systems, the FI for its order statistics (OSs) and their concomitants has not been previously derived or analyzed. Our work addresses […]
Confidence intervals for the difference and ratio of two coefficients of variation of delta-inverse Gaussian distributions
The inverse Gaussian (IG) distribution demonstrates asymmetry and right skewness. This distribution exhibits values uniformly, including waiting duration, stochastic processes, and accident occurrence rates. The delta inverse Gaussian (delta-IG) distribution is suitable for modeling traffic accident data as a count of fatalities, particularly in instances where incidents may not occur. The confidence interval (CI) for […]
Evaluating security systems from statistical perspectives based on censored data: An application to cybersecurity
We propose statistical methods to estimate the geometric distribution parameter when collected data are progressively Type-II censored during time-limited trials such as a Cybersecurity experiment. Maximum likelihood estimation (MLE) and Bayesian estimators are derived while the Bayesian estimator utilizes a Beta distribution prior to estimation through simulated performance assessment. The proposed method applies to simulated […]
Optimal pricing and cycle–length decisions in an EOQ model with polynomial–price dependent Demand and Rayleigh deterioration of items
This paper develops an Economic Order Quantity (EOQ) inventory model for perishable items with price–dependent polynomial demand and Rayleigh–type deterioration of items. The proposed framework extends classical EOQ models by capturing nonlinear demand behavior and time–dependent deterioration effects, providing a more realistic representation of inventory systems for perishable goods. Explicit expressions for the total profit […]
Enhancing clinical trust in heart disease diagnosis: From data to decisions with ML models and LIME explanations
Heart disease represents a significant health challenge impacting both women and men worldwide, requiring early and accurate prediction to enhance patient outcomes. Medical conditions such as high blood pressure, diabetes, and kidney disease can impair the prognosis of heart failure. People with a family history of heart disease are at a drastically increased risk even […]
Measuring the impact of demographic, economic and social variables on consanguineous marriage in Egypt
Consanguineous marriage remains a significant social phenomenon in Egypt, particularly in rural and Upper Egyptian regions. Data from the 2021 Egyptian Demographic and Health Survey reveals that around 30% of ever-married women are or were married to blood relatives, with 72% of these unions being first- or second-degree on the father’s side. The prevalence is […]
Evaluation of parameter estimation methods for a new zero-truncated Poisson moment exponential distribution with real-life application
The zero-truncated distribution for count data has recently received considerable attention in many fields, especially in real-life applications in which only positive counts are observed. This paper proposes a new zero-truncated model based on the Poisson-moment exponential distribution. The important statistical properties of the distribution are studied in terms of the moment generating function, expected […]