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Birnbaum-Saunders models have been widely used to model positively skewed data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as parameters. We present some properties of the univariate and…

统计方法学 · 统计学 2018-05-01 Helton Saulo , Jeremias Leão , Roberto Vila , Victor Leiva , Vera Tomazella

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…

统计方法学 · 统计学 2026-04-07 Isqeel Ogunsola , Nurudeen Ajadi , Gboyega Adepoju

The progressive censoring scheme has received considerable amount of attention in the last fifteen years. During the last few years joint progressive censoring scheme has gained some popularity. Recently, the authors Mondal and Kundu ("A…

应用统计 · 统计学 2018-01-03 Shuvashree Mondal , Debasis Kundu

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…

统计方法学 · 统计学 2025-08-19 Subhankar Dutta , Roberto Vila , Terezinha K. A. Ribeiro

We consider the class of all stationary Gaussian process with explicit parametric spectral density. Under some conditions on the autocovariance function, we defined a GMM estimator that satisfies consistency and asymptotic normality, using…

统计理论 · 数学 2017-01-18 Luis A. Barboza , Frederi G. Viens

This paper suggests methods for estimation of the $\tau$-quantile, $\tau\in(0,1)$, as a parameter along with the other finite-dimensional parameters identified by general conditional quantile restrictions. We employ a generalized method of…

综合经济学 · 经济学 2026-01-29 Xin Liu , Luciano de Castro , Antonio F. Galvao

In this article, a generalized version of Negative binomial-beta exponential distribution with five parameters have been introduced. Some interesting submodels have been derived from it. A comprehensive mathematical treatment of proposed…

统计理论 · 数学 2019-05-31 Anwar Hassan , Ishfaq Shah Ahmad , Peer Bilal Ahmad

For many probability laws, in parametric models, the estimation of the parameters can be done in the frame of the maximum likelihood method, or in the frame of moment estimation methods, or by using the plug-in method, etc. Usually, for…

统计方法学 · 统计学 2021-12-10 Gorgui Gning , Aladji Babacar Niang , Modou Ngom , Gane Samb Lo

The modelling of data on a spherical surface requires the consideration of directional probability distributions. To model asymmetrically distributed data on a three-dimensional sphere, Kent distributions are often used. The moment…

机器学习 · 计算机科学 2015-06-29 Parthan Kasarapu

We demonstrate that certain astrophysical distributions can be modelled with the truncated Weibull distribution, which can lead to some insights: in particular, we report the average value, the $r$th moment, the variance, the median, the…

天体物理仪器与方法 · 物理学 2021-03-31 Lorenzo Zaninetti

The Weibull distribution, with shape parameter $k>0$ and scale parameter $\lambda>0$, is one of the most popular parametric distributions in survival analysis with complete or censored data. Although inference of the parameters of the…

统计方法学 · 统计学 2023-03-20 Enes Makalic , Daniel F. Schmidt

Machine learning models are often evaluated using point estimates of performance metrics such as accuracy, F1 score, or mean squared error. Such summaries fail to capture the inherent variability induced by stochastic elements of the…

机器学习 · 计算机科学 2026-05-13 Christoph Lehmann , Yahor Paromau

Important problems in causal inference, economics, and, more generally, robust machine learning can be expressed as conditional moment restrictions, but estimation becomes challenging as it requires solving a continuum of unconditional…

机器学习 · 计算机科学 2024-02-19 Heiner Kremer , Jia-Jie Zhu , Krikamol Muandet , Bernhard Schölkopf

In statistical process control Weibull distribution can be used to model the time between events or failures (TBE) in a process with increasing decreasing or constant failure rates. Specifically it helps in monitoring processes where the…

应用统计 · 统计学 2025-08-11 Tanuja Negi

The aim of the present work is to investigate the performances of a specific Bayesian control chart used to compare two processes. The chart monitors the ratio of the percentiles of a key characteristic associated with the processes. The…

统计计算 · 统计学 2015-07-07 Pasquale Erto

Inference in models where the parameter is defined by moment inequalities is of interest in many areas of economics. This paper develops a new method for improving the performance of generalized moment selection (GMS) testing procedures in…

计量经济学 · 经济学 2020-08-26 Rami V. Tabri , Christopher D. Walker

The Teissier distribution, originally proposed by Teissier [31], was designed to model mortality due to aging in domestic animals. More recently, Krishna et al. [19] introduced the Unit Teissier (UT) distribution on the interval (0, 1)…

应用统计 · 统计学 2026-03-13 Zuber Akhter , Mohamed A. Abdelaziz , M. Z. Anis , Ahmed Z. Afify

The Unit Weibull distribution with parameters $\alpha$ and $\beta$ is considered to study in the context of dual generalized order statistics. For the analysis purpose, Bayes estimators based on symmetric and asymmetric loss functions are…

统计方法学 · 统计学 2025-02-06 Qazi J. Azhad , Abdul Nasir Khan , Bhagwati Devi , Jahangir Sabbir Khan , Ayush Tripathi

This paper presents an in-depth exploration of the innovative Median-based unit Rayleigh (MBUR) distribution, previously introduced by the author. This new approach is specifically designed for conducting quantile regression analysis,…

应用统计 · 统计学 2025-11-03 Iman Mohamed Attia

In this paper, we introduce a bivariate exponentaited generalized Weibull-Gompertz distribution. The model introduced here is of Marshall-Olkin type. Several properties are studied such as bivariate probability density function and it is…

统计理论 · 数学 2015-01-19 M. A. EL-Damcese , Abdelfattah Mustafa , M. S. Eliwa