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We present a simple method to quantitatively capture the heterogeneity in the degree distribution of a network graph using a single parameter $\sigma$. Using an exponential transformation of the shape parameter of the Weibull distribution,…

数据分析、统计与概率 · 物理学 2023-05-05 Sinan A. Ozbay , Maximilian M. Nguyen

The beta distribution is the best-known distribution for modelling doubly-bounded data, \eg percentage data or probabilities. A new generalization of the beta distribution is proposed, which uses a cubic transformation of the beta random…

统计方法学 · 统计学 2016-12-19 Rose Baker

The Sustainable Development Goals (SDGs) of the United Nations consist of 17 general objectives, subdivided into 169 targets to be achieved by 2030. Several SDG indices and indicators require continuous analysis and evaluation, and most of…

统计方法学 · 统计学 2025-08-26 João Inácio Scrimini , Cleber Bisognin , Renata Rojas Guerra , Fábio M. Bayer

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

In this paper, we propose methods for the estimation of parameters for the three-parameter Reflected Weibull distribution. The Moment estimator , Maximum likelihood estimator and Location and Scale Parameters free maximum likelihood…

其他统计学 · 统计学 2019-05-01 Fateme Maleki Jebeli , Einolah Deiri

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions are provided. We explore the asymptotic behaviors of the…

统计方法学 · 统计学 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

The beta distribution is a basic distribution serving several purposes. It is used to model data, and also, as a more flexible version of the uniform distribution, it serves as a prior distribution for a binomial probability. The bivariate…

统计方法学 · 统计学 2014-09-17 Ingram Olkin , Thomas A. Trikalinos

Characterizing the wind speed distribution properly is essential for the satisfactory production of potential energy in wind farms, being the mixture models usually employed in the description of such data. However, some mixture models…

The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain. In the present paper, we consider the well-known Galton-Watson branching process…

数据分析、统计与概率 · 物理学 2015-05-27 Junghyo Jo , Jean-Yves Fortin , M. Y. Choi

In this paper, we introduce a new class of bivariate distributions called the bivariate exponentiated extended Weibull distributions. The model introduced here is of Marshall-Olkin type. This new class of bivariate distributions contains…

统计方法学 · 统计学 2015-07-28 Rasool Roozegar , Ali Akbar Jafari

This paper presents a new methodology for generating continuous statistical distributions, integrating the exponentiated odds ratio within the framework of survival analysis. This new method enhances the flexibility and adaptability of…

统计理论 · 数学 2024-02-28 Xinyu Chen , Yuanqi Xie , Achraf Cohen , Shusen Pu

A setting of a trivairate survival function using semi-competing risks concept is proposed. The Stanford Heart Transplant data is reanalyzed using a trivariate Weibull distribution model with the proposed survival function.

应用统计 · 统计学 2008-10-01 Cheng K. Lee , Jenq-Daw Lee

A new three-parameter cumulative distribution function defined on $(\alpha,\infty)$, for some $\alpha\geq0$, with asymmetric probability density function and showing exponential decays at its both tails, is introduced. The new distribution…

统计理论 · 数学 2017-03-28 Meitner Cadena

The beta Weibull distribution was introduced by Famoye et al. (2005) and studied by these authors. However, they do not give explicit expressions for the moments. We now derive explicit closed form expressions for the cumulative…

统计方法学 · 统计学 2008-09-11 Gauss M. Cordeiro , Alexandre B. Simas , Borko D. Stosic

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

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

This paper is speculated to propose a class of shrinkage estimators for shape parameter beta in failure censored samples from two-parameter Weibull distribution when some 'apriori' or guessed interval containing the parameter beta is…

We are concerned with the flexible parametric analysis of bivariate survival data. Elsewhere, we have extolled the virtues of the "power generalized Weibull" (PGW) distribution as an attractive vehicle for univariate parametric survival…

统计方法学 · 统计学 2019-01-11 M. C. Jones , Angela Noufaily , Kevin Burke

In this paper we introduce a new method to add a parameter to a family of distributions. The additional parameter is completely studied and a full description of its behaviour in the distribution is given. We obtain several mathematical…

统计方法学 · 统计学 2010-03-10 Wagner Barreto-Souza , Alexandre B. Simas

In this paper, we propose a regression model where the response variable is beta prime distributed using a new parameterization of this distribution that is indexed by mean and precision parameters. The proposed regression model is useful…

统计方法学 · 统计学 2018-04-23 Marcelo Bourguignon , Manoel Santos-Neto , Mário de Castro