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相关论文: R = P(Y < X) for unit-Lindley distribution: infere…

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In this article, we first introduced the inflated unit Lindley distribution considering zero or/and one inflation scenario and studied its basic distributional and structural properties. Both the distributions are shown to be members of…

统计方法学 · 统计学 2021-03-17 Subrata Chakraborty , Sahana Bhattacharjee

In this paper, we propose a new distribution over the unit interval which can be characterized as a ratio of the type $Z=Y/(X+Y)$ where $X$ and $Y$ are two correlated Birnbaum-Saunders random variables. The density of $Z$ may be unimodal or…

统计方法学 · 统计学 2024-11-05 Roberto Vila , Helton Saulo , Felipe Quintino , Peter Zörnig

In this paper, we develop a family of bivariate beta distributions that encapsulate both positive and negative correlations, and which can be of general interest for Bayesian inference. We then invoke a use of these bivariate distributions…

The importance of continuously emerging new distribution is a mandate to understand the world and environment surrounding us. In this paper, the author will discuss a new distribution defined on the interval (0,1) as regards the methodology…

统计方法学 · 统计学 2025-06-24 Iman Mohammed Attia

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E.…

统计理论 · 数学 2019-07-02 Mohammed Khalleefah , Sofiya Ostrovska , Mehmet Turan

We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power transformed distribution (\textit{PL-APT}). Some tractable…

统计理论 · 数学 2022-01-20 Modou Ngom , Moumouni Diallo , Adja Mbarka Fall , Gane Samb Lo

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure…

统计计算 · 统计学 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

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

In this article, the estimation of reliability of a system is discussed $p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential distribution with different scale parameters when the available data are type II Censored…

统计方法学 · 统计学 2008-01-08 A. M. Abd Elfattah , O. Mohamed Marwa

Parametric quantile regression is illustrated for the one parameter new unit Rayleigh distribution called Median Based Unit Rayleigh distribution (MBUR) distribution. The estimation process using re-parameterized maximum likelihood function…

统计方法学 · 统计学 2025-10-14 Iman Mohamed Attia

National statistical institutes in many countries are now mandated to produce reliable statistics for important variables such as population, income, unemployment, health outcomes, etc. for small areas, defined by geography and/or…

统计方法学 · 统计学 2018-10-29 Adrijo Chakraborty , Gauri Sankar Datta , Abhyuday Mandal

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

统计方法学 · 统计学 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

We study the problem of robustly estimating the posterior distribution for the setting where observed data can be contaminated with potentially adversarial outliers. We propose Rob-ULA, a robust variant of the Unadjusted Langevin Algorithm…

机器学习 · 统计学 2019-07-30 Kush Bhatia , Yi-An Ma , Anca D. Dragan , Peter L. Bartlett , Michael I. Jordan

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

In this paper, we study the estimation of $R=P [Y < X ]$, also so-called the stress-strength model, when both $X$ and $Y$ are two independent random variables with the generalized linear failure rate distributions, under different…

应用统计 · 统计学 2013-12-03 Fatemeh Shahsanaei , Alireza Daneshkhah

One of the important problem in reliability analysis is computation of stress-strength reliability. But it is impractical to compute it in certain situations. So the estimation stay as an alternative solution to get an approximate value of…

统计方法学 · 统计学 2022-12-16 Beenu Thomas , V. M. Chacko

We propose a two-parameter bounded probability distribution called the extended power distribution. This distribution on $(0, 1)$ is similar to the beta distribution, however there are some advantages which we explore. We define the moments…

统计方法学 · 统计学 2017-11-09 Chibueze E. Ogbonnaya , Simon P. Preston , Andrew T. A. Wood

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

统计方法学 · 统计学 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

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

The Unit-Lindley is a one-parameter family of distributions in $(0,1)$ obtained from an appropriate transformation of the Lindley distribution. In this work, we introduce a class of dynamical time series models for continuous random…

统计理论 · 数学 2025-04-11 Guilherme Pumi , Danilo Hiroshi Matsuoka , Taiane Schaedler Prass