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Several distributions and families of distributions are proposed to model skewed data, think, e.g., of skew-normal and related distributions. Lambert W random variables offer an alternative approach where, instead of constructing a new…

统计方法学 · 统计学 2023-10-17 Meelis Käärik , Anne Selart , Tuuli Puhkim , Liivika Tee

Kundu and Gupta (2007, Metrika, 65, 159 - 170) provided the analysis of Type-I hybrid censored competing risks data, when the lifetime distribution of the competing causes of failures follow exponential distribution. In this paper we…

应用统计 · 统计学 2017-07-18 Arnab Koley , D. Kundu , Ayon Ganguly

Building on recent developments in models focused on the shape properties of odds ratios, this paper introduces two new models that expand the class of available distributions while preserving specific shape characteristics of an underlying…

统计理论 · 数学 2025-03-11 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

Estimations of physical parameters using data usually involve non-uniform experimental efficiencies. In this article, a method of maximum likelihood fit is introduced using the efficiency as a weight, while the probability distribution…

数据分析、统计与概率 · 物理学 2023-08-31 Chenxu Yu , Yanxi Zhang

In this paper, we introduce weighted fractional generalized cumulative past entropy of a nonnegative absolutely continuous random variable with bounded support. Various properties of the proposed weighted fractional measure are studied.…

统计理论 · 数学 2022-07-14 Suchandan Kayal , N. Balakrishnan

We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution. The proposed tests are weighted $L^2$-type tests depending on a tuning parameter. We develop the asymptotic theory under the null hypothesis and under a…

统计方法学 · 统计学 2022-01-31 J. S. Allison , S. Betsch , B. Ebner , I. J. H. Visagie

This paper introduces a new generalization of the flexible Weibull distribution with three parameters this model called the Marshall-Olkin flexible Weibull extension (MO-FWE) distribution which exhibits bathtub-shaped hazard rate. We…

统计理论 · 数学 2016-09-29 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

A novel approach to obtain weighted likelihood estimates of multivariate location and scatter is discussed. A weighting scheme is proposed that is based on the distribution of the Mahalanobis distances rather than the distribution of the…

统计方法学 · 统计学 2017-06-20 Claudio Agostinelli , Luca Greco

Distorted distributions were introduced in the context of actuarial science for several variety of insurance problems. In this paper we consider the quantile-based probabilistic mean value theorem given in Di Crescenzo et al. [4] and…

概率论 · 数学 2025-01-03 Antonio Di Crescenzo , Barbara Martinucci , Julio Mulero

A new robust class of multivariate skew distributions is introduced. Practical aspects such as parameter estimation method of the proposed class are discussed, we show that the proposed class can be fitted under a reasonable time frame. Our…

统计方法学 · 统计学 2020-11-17 H. Kwong , S. Nadarajah

The log-Lindley distribution was recently introduced in the literature as a viable alternative to the Beta distribution. This distribution has a simple structure and possesses useful theoretical properties relevant in insurance. Classical…

统计理论 · 数学 2019-09-06 Aniket Biswas , Subrata Chakraborty , Meghna Mukherjee

In this paper introduces a new family of continuous distributions namely the Poison transmuted-G family of distribution is proposed by inducing two addition parameter on the base line G distribution. Some of its mathematical properties…

统计理论 · 数学 2020-05-12 Laba Handique , Subrata Chakraborty

Inverse classification, the process of making meaningful perturbations to a test point such that it is more likely to have a desired classification, has previously been addressed using data from a single static point in time. Such an…

机器学习 · 计算机科学 2016-11-15 Michael T. Lash , W. Nick Street

Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

统计方法学 · 统计学 2021-11-29 Yukun Liu , Yan Fan

Wind speed distribution has many applications, such as the assessment of wind energy and building design. Applying an appropriate statistical distribution to fit the wind speed data, especially on its heavy right tail, is of great interest.…

应用统计 · 统计学 2026-02-17 Tiantian Yang , Dongwei Chen

The astounding success of these methods has made it imperative to obtain more explainable and trustworthy estimates from these models. In hydrology, basin characteristics can be noisy or missing, impacting streamflow prediction. For solving…

We study with some details a lifetime model of the class of beta generalized models, called the beta inverse Rayleigh distribution, which is a special case of the Beta Fr\'echet distribution. We provide a better foundation for some…

统计理论 · 数学 2022-06-06 J. Leão , H. Saulo , M. Bourguignon , R. J. Cintra , L. C. Rêgo , G. M. Cordeiro

In Bayesian theory, calculating a posterior probability distribution is highly important but usually difficult. Therefore, some methods have been put forward to deal with such problem, among which, the most popular one is the asymptotic…

统计方法学 · 统计学 2012-07-20 Zai-Ying Zhou

The Birnbaum-Saunders distribution is a flexible and useful model which has been used in several fields. In this paper, a new bimodal version of this distribution based on the alpha-skew-normal distribution is established. We discuss some…

统计理论 · 数学 2020-07-27 Roberto Vila , Jeremias Leão , Helton Saulo , Mirza Nabeed , Manoel Santos-Neto

In this article, the weighted empirical likelihood is applied to a general setting of two-sample semiparametric models, which includes biased sampling models and case-control logistic regression models as special cases. For various types of…

统计理论 · 数学 2008-12-18 Jian-Jian Ren