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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 work establishes regularity conditions for consistency and asymptotic normality of the multiple parameter maximum likelihood estimator(MLE) from censored data, where the censoring mechanism is in the form of $1$-bit measurements. The…

统计理论 · 数学 2025-02-11 Jaimin Shah , Martina Cardone , Cynthia Rush , Alex Dytso

To train an inference network jointly with a deep generative topic model, making it both scalable to big corpora and fast in out-of-sample prediction, we develop Weibull hybrid autoencoding inference (WHAI) for deep latent Dirichlet…

机器学习 · 统计学 2020-04-28 Hao Zhang , Bo Chen , Dandan Guo , Mingyuan Zhou

We propose a sequential design method aiming at the estimation of an extreme quantile based on a sample of dichotomic data corresponding to peaks over a given threshold. This study is motivated by an industrial challenge in material…

统计方法学 · 统计学 2020-04-06 Michel Broniatowski , Emilie Miranda

A novel mixture cure frailty model is introduced for handling censored survival data. Mixture cure models are preferable when the existence of a cured fraction among patients can be assumed. However, such models are heavily underexplored:…

统计方法学 · 统计学 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

We develop two new classes of tests for the Weibull distribution based on Stein's method. The proposed tests are applied in the full sample case as well as in the framework of random right censoring. We investigate the finite sample…

统计方法学 · 统计学 2021-05-20 E Bothma , JS Allison , IJH Visagie

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

统计理论 · 数学 2013-02-04 Chenlei Leng , Xingwei Tong

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

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

统计计算 · 统计学 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

In this paper we derive control charts for the variance of a Gaussian process using the likelihood ratio approach, the generalized likelihood ratio approach, the sequential probability ratio method and a generalized sequential probability…

应用统计 · 统计学 2012-09-24 Taras Lazariv , Wolfgang Schmid , Svitlana Zabolotska

In this paper, nonparametric estimation of the conditional Weibull-tail coefficient when the variable of interest is right random censored is addressed. A Weissman-type estimator of conditional extreme quantile is also proposed. In…

统计方法学 · 统计学 2021-10-12 Justin Ushize Rutikange , Aliou Diop

This paper explores the extension of the classical two-parameter Weibull distribution to a four-parameter Harris extended Weibull (HEW) distribution. The flexibility of this probability distribution is illustrated by the varying shapes of…

统计方法学 · 统计学 2025-10-01 Prithul Chaturvedi , Himanshu Pokhriyal

In this paper, we introduce a new four-parameter generalization of the exponentiated Weibull (EW) distribution, called the exponentiated Weibull-logarithmic (EWL) distribution, which obtained by compounding EW and logarithmic distributions.…

统计方法学 · 统计学 2014-02-24 Eisa Mahmoudi , Afsaneh Sepahdar , Artur Lemonte

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

统计方法学 · 统计学 2013-07-30 Axel Gandy , Jan Terje Kvaløy

Monitoring of hybrid systems attracts both scientific and practical attention. However, monitoring algorithms suffer from the methodological difficulty of only observing sampled discrete-time signals, while real behaviors are…

系统与控制 · 电气工程与系统科学 2024-07-26 Masaki Waga , Étienne André , Ichiro Hasuo

We revisit the estimation of the extreme value index for randomly censored data from a heavy tailed distribution. We introduce a new class of estimators which encompasses earlier proposals given in Worms and Worms (2014) and Beirlant et al.…

统计理论 · 数学 2018-04-19 Jan Beirlant , Julien Worms , Rym Worms

This paper addresses the problem of estimating the extreme value index in presence of random censoring for distributions in the Weibull domain of attraction. The methodologies introduced in [Worms (2014)], in the heavy-tailed case, are…

统计理论 · 数学 2015-06-12 Julien Worms , Rym Worms

The Weibull distribution is a very applicable model for the lifetime data. For inference about two Weibull distributions using records, the shape parameters of the distributions are usually considered equal. However, there is not an…

统计方法学 · 统计学 2014-08-12 Hojatollah Zakerzadeh , Ali Akbar Jafari

This paper develops estimation and inference methods for censored quantile regression models with high-dimensional controls. The methods are based on the application of double/debiased machine learning (DML) framework to the censored…

计量经济学 · 经济学 2023-03-07 Seoyun Hong

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the new distribution (MBUW). But in small to moderate sample…

统计方法学 · 统计学 2025-02-17 Iman Mohammed Attia