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The extremal index $\theta$, a number in the interval $[0,1]$, is known to be a measure of primal importance for analyzing the extremes of a stationary time series. New rank-based estimators for $\theta$ are proposed which rely on the…

统计理论 · 数学 2020-06-30 Axel Bücher , Tobias Jennessen

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

应用统计 · 统计学 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

The Generalized Mallows Model (GMM) is a well known family of models for ranking data. A GMM is a distribution over $\mathbb{S}_n$, the set of permutations of n objects, characterized by a location parameter $\sigma \in \mathbb{S}_n$, known…

统计理论 · 数学 2025-03-25 Marina Meilă

This work addresses the problem of estimating the parameters of the general half-normal distribution. Namely, the problem of determining the minimum risk equi\-va\-riant (MRE) estimators of the parameters is explored. Simulation studies are…

统计方法学 · 统计学 2021-10-28 A. G. Nogales , P. Pérez , P. Monfort

In this paper, we consider the parameter estimation problem over sensor networks in the presence of quantized data and directed communication links. We propose a two-stage algorithm aiming at achieving the centralized sample mean estimate…

系统与控制 · 计算机科学 2015-07-27 Shanying Zhu , Yeng Chai Soh , Lihua Xie

In this paper, we provide a novel method for the estimation of unknown parameters of the Gaussian Mixture Model (GMM) in Positron Emission Tomography (PET). A vast majority of PET imaging methods are based on reconstruction model that is…

信号处理 · 电气工程与系统科学 2023-06-30 Tomislav Matulić , Damir Seršić

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…

统计方法学 · 统计学 2008-12-30 Ahmed Guellil , Tewfik Kernane

U-max statistics were introduced by Lao and Mayer in 2008. Instead of averaging the kernel over all possible subsets of the original sample, they considered the maximum of the kernel. Such statistics are natural in stochastic geometry.…

概率论 · 数学 2020-10-12 Ya. Yu. Nikitin , E. N. Simarova

This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

统计方法学 · 统计学 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

Marshall and Olkin (1997, Biometrika, 84, 641 - 652) introduced a very powerful method to introduce an additional parameter to a class of continuous distribution functions and hence it brings more flexibility to the model. They have…

统计方法学 · 统计学 2018-02-20 Debasis Kundu , Vahid Nekoukhou

Mixture modeling is a general technique for making any simple model more expressive through weighted combination. This generality and simplicity in part explains the success of the Expectation Maximization (EM) algorithm, in which updates…

机器学习 · 统计学 2016-03-29 Sida I. Wang , Arun Tejasvi Chaganty , Percy Liang

We investigate the problem of representing information measures in terms of the moments of the underlying random variables. First, we derive polynomial approximations of the conditional expectation operator. We then apply these…

信息论 · 计算机科学 2021-09-03 Wael Alghamdi , Flavio P. Calmon

The Kumaraswamy Inverse Weibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy Inverse Weibull distribution with…

统计方法学 · 统计学 2015-05-21 Felipe R. S. de Gusmão , Vera L. D. Tomazella , Ricardo S. Ehlers

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…

统计理论 · 数学 2018-05-15 M. El- Morshedy , A. A. Khalil

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

The present paper considers modified extension of the exponential distribution with three parameters. We study the main properties of this new distribution, with special emphasis on its median, mode and moments function and some…

其他统计学 · 统计学 2015-10-28 M. A. El-Damcese , Dina. A. Ramadan

In this paper, we study the problem of learning one-dimensional Gaussian mixture models (GMMs) with a specific focus on estimating both the model order and the mixing distribution from independent and identically distributed (i.i.d.)…

机器学习 · 统计学 2026-02-24 Xinyu Liu , Hai Zhang

In this paper, we introduce a new three-parameter distribution based on the combination of re-parametrization of the so-called EGNB2 and transmuted exponential distributions. This combination aims to modify the transmuted exponential…

统计理论 · 数学 2020-02-11 Christophe Chesneau , Hassan S. Bakouch , Muhammad Nauman Khan

This paper introduces studies on exponentaited generalized Weibull Gompertz distribution EGWGD which generalizes a lot of distributions. Several properties of the EGWGD such as reversed (hazard) function, moments, maximum likelihood…

统计理论 · 数学 2015-01-14 M. A. EL-Damcese , Abdelfattah Mustafa , M. S. Eliwa

According to standard econometric theory, Maximum Likelihood estimation (MLE) is the efficient estimation choice, however, it is not always a feasible one. In network diffusion models with unobserved signal propagation, MLE requires…

计量经济学 · 经济学 2023-09-06 L. S. Sanna Stephan