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This paper introduces a new four-parameter lifetime model called the Weibull Birnbaum-Saunders distribution. This new distribution represents a more flexible model for the lifetime data. Its failure rate function can be increasing,…

Applications · Statistics 2016-04-19 Lazhar Benkhelifa

In this paper is proposed a new heuristic approach belonging to the field of evolutionary Estimation of Distribution Algorithms (EDAs). EDAs builds a probability model and a set of solutions is sampled from the model which characterizes the…

We define a novel class of additive models, called Extended Latent Gaussian Models, that allow for a wide range of response distributions and flexible relationships between the additive predictor and mean response. The new class covers a…

Methodology · Statistics 2022-07-13 Alex Stringer , Patrick Brown , Jamie Stafford

Models of dynamic networks --- networks that evolve over time --- have manifold applications. We develop a discrete-time generative model for social network evolution that inherits the richness and flexibility of the class of…

Methodology · Statistics 2015-03-24 Pavel N. Krivitsky , Mark S. Handcock

Generalized linear mixed models are powerful tools for analyzing clustered data, where the unknown parameters are classically (and most commonly) estimated by the maximum likelihood and restricted maximum likelihood procedures. However,…

Statistics Theory · Mathematics 2023-03-23 Andrea M. Bratsberg , Magne Thoresen , Abhik Ghosh

A novel approach to adding two additional parameters to a family of distributions for better adaptability has been put forth. This approach yields a versatile class of distributions supported on the positive real line. We proceed to analyze…

Methodology · Statistics 2025-08-19 Subhankar Dutta , Roberto Vila , Terezinha K. A. Ribeiro

In this paper, a new bivariate discrete distribution is introduced which called bivariate discrete exponentiated Weibull (BDEW) distribution. Several of its mathematical statistical properties are derived such as the joint cumulative…

Statistics Theory · Mathematics 2018-05-15 M. El- Morshedy , A. A. Khalil

In this paper we introduce, for the first time, the Weibull-Geometric distribution which generalizes the exponential-geometric distribution proposed by Adamidis and Loukas (1998). The hazard function of the last distribution is monotone…

Methodology · Statistics 2010-08-17 Wagner Barreto-Souza , Alice Lemos de Morais , Gauss M. Cordeiro

This work introduces a family of univariate constrained mixtures of generalized normal distributions (CMGND) where the location, scale, and shape parameters can be constrained to be equal across any subset of mixture components. An…

Methodology · Statistics 2025-06-05 Pierdomenico Duttilo , Stefano Antonio Gattone , Alfred Kume

In this paper, we introduce a new bivariate distribution we called it bivariate expo- nentiated modified Weibull extension distribution (BEMWE). The model introduced here is of Marshall-Olkin type. The marginals of the new bivariate…

Statistics Theory · Mathematics 2015-01-16 A. El-Gohary , M. El-Morshedy

The growing availability of network data and of scientific interest in distributed systems has led to the rapid development of statistical models of network structure. Typically, however, these are models for the entire network, while the…

Statistics Theory · Mathematics 2022-03-18 Cosma Rohilla Shalizi , Alessandro Rinaldo

The piecewise exponential model is a flexible non-parametric approach for time-to-event data, but extrapolation beyond final observation times typically relies on random walk priors and deterministic knot locations, resulting in unrealistic…

Methodology · Statistics 2025-05-12 Luke Hardcastle , Samuel Livingstone , Gianluca Baio

For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data…

Methodology · Statistics 2022-08-02 Kehinde Olobatuyi

We propose a new approach for estimating the parameters of a probability distribution. It consists on combining two new methods of estimation. The first is based on the definition of a new distance measuring the difference between…

Methodology · Statistics 2008-12-30 Ahmed Guellil , Tewfik Kernane

In this paper, we investigate several properties of the weighted varextropy measure and obtain it for specific distribution functions, such as the equilibrium and weighted distributions. We also obtain bounds for the weighted varextropy, as…

Statistics Theory · Mathematics 2025-07-01 Faranak Goodarzi

The gamma distribution is a useful model for small area prediction of a skewed response variable. We study the use of the gamma distribution for small area prediction. We emphasize a model, called the gamma-gamma model, in which the area…

Methodology · Statistics 2023-01-18 Yanghyeon Cho , Emily Berg

Predicting extreme events is important in many applications in risk analysis. The extreme-value theory suggests modelling extremes by max-stable distributions. The Bayesian approach provides a natural framework for statistical prediction.…

Statistics Theory · Mathematics 2020-09-22 Simone A. Padoan , Stefano Rizzelli

The exponential and the Lomax distributions are widely used in life testing experiments in mixture models. A mixture model of exponential distribution and Lomax distribution is proposed. Parameters of the proposed model are estimated using…

Methodology · Statistics 2020-02-27 Maqsood Ali , Abdul Haq , Muhammad Aslam

Frailty models are essential tools in survival analysis for addressing unobserved heterogeneity and random effects in the data. These models incorporate a random effect, the frailty, which is assumed to impact the hazard rate…

Statistics Theory · Mathematics 2025-04-01 Jorge Yslas

Weibull distribution is widely used in modelling health data. However, its lack of sufficient tail flexibility often results in poor fit in extreme events. We proposed another three-parameter extension of the Weibull distribution with…

Methodology · Statistics 2026-04-07 Isqeel Ogunsola , Nurudeen Ajadi , Gboyega Adepoju