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Large-scale randomized experiments, sometimes called A/B tests, are increasingly prevalent in many industries. Though such experiments are often analyzed via frequentist $t$-tests, arguably such analyses are deficient: $p$-values are hard…

统计方法学 · 统计学 2020-03-27 F. Richard Guo , James McQueen , Thomas S. Richardson

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

Progressive censoring scheme has received considerable attention in recent years. In this paper we introduce a new type-II progressive censoring scheme for two samples. It is observed that the proposed censoring scheme is analytically more…

统计方法学 · 统计学 2016-09-20 Shuvashree Mondal , Debasis Kundu

Indirect inference (II) is a methodology for estimating the parameters of an intractable (generative) model on the basis of an alternative parametric (auxiliary) model that is both analytically and computationally easier to deal with. Such…

统计方法学 · 统计学 2015-05-14 Christopher C. Drovandi , Anthony N. Pettitt , Anthony Lee

Bayesian analysis is increasingly popular for use in social science and other application areas where the data are observations from an informative sample. An informative sampling design leads to inclusion probabilities that are correlated…

统计理论 · 数学 2016-06-07 Terrance D. Savitsky , Daniell Toth

Robust Bayesian analysis has been mainly devoted to detecting and measuring robustness w.r.t. the prior distribution. Many contributions in the literature aim to define suitable classes of priors which allow the computation of variations of…

统计理论 · 数学 2025-09-04 Antonio Di Noia , Fabrizio Ruggeri , Antonietta Mira

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

统计方法学 · 统计学 2026-05-26 Alberto Caimo , Isabella Gollini

Univariate and multivariate general linear regression models, subject to linear inequality constraints, arise in many scientific applications. The linear inequality restrictions on model parameters are often available from phenomenological…

统计方法学 · 统计学 2021-12-07 Solmaz Seifollahi , Kaniav Kamary , Hossein Bevrani

The proportional hazards assumption in the commonly used Cox model for censored failure time data is often violated in scientific studies. Yang and Prentice (2005) proposed a novel semiparametric two-sample model that includes the…

统计方法学 · 统计学 2012-06-06 Guoqing Diao , Donglin Zeng , Song Yang

In this paper we consider Bayesian estimation for the parameters of inverse Gaussian distribution. Our emphasis is on Markov Chain Monte Carlo methods. We provide complete implementation of the Gibbs sampler algorithm. Assuming an…

统计方法学 · 统计学 2012-10-17 B. N. Pandey , Pulastya Bandyopadhyay

The Bayesian predictive density has complex representation and does not belong to any finite-dimensional statistical model except for in limited situations. In this paper, we introduce its simple approximate representation employing its…

统计理论 · 数学 2020-10-30 Michiko Okudo , Fumiyasu Komaki

Empirical Bayes inference is based on estimation of the parameters of an a priori distribution from the observed data. The estimation technique of the parameters of the prior, called hyperparameters, is based on the marginal distribution…

系统与控制 · 电气工程与系统科学 2025-11-06 Timofei Leahu , Giorgio Picci

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

统计方法学 · 统计学 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

This article gives a survey of the e-value, a statistical significance measure a.k.a. the evidence rendered by observational data, X, in support of a statistical hypothesis, H, or, the other way around, the epistemic value of H given X. The…

统计方法学 · 统计学 2020-04-29 Julio Michael Stern , Carlos Alberto de Braganca Pereira

Estimation of the ordered scale parameter of a two scale mixture of the exponential distribution is considered under Stein loss and symmetric loss. Under certain conditions, we prove that the inadmissibility equivariant estimator exhibits…

统计理论 · 数学 2025-12-11 Somnath Mondal , Lakshmi Kanta Patra

This paper develops Bayesian sample size formulae for experiments comparing two groups. We assume the experimental data will be analysed in the Bayesian framework, where pre-experimental information from multiple sources can be represented…

统计方法学 · 统计学 2022-03-09 Haiyan Zheng , Thomas Jaki , James M. S. Wason

We obtain a reliability acceptance sampling plan for independent competing risk data under interval censoring schemes using the Bayesian approach. At first, the Bayesian reliability acceptance sampling plan is obtained where the decision…

应用统计 · 统计学 2025-10-21 Biswabrata Pradhan , Rathin Das

The usual chi-squared method of fit quality assessment is a special case of the more general method of Bayesian model comparison which involves integrals of the likelihood and prior over all possible values of all parameters. We introduce…

核理论 · 物理学 2012-06-11 Michiel B. De Kock , Hans C. Eggers , Tamás Csörgő

In Bayesian semi-parametric analyses of time-to-event data, non-parametric process priors are adopted for the baseline hazard function or the cumulative baseline hazard function for a given finite partition of the time axis. However, it…

统计方法学 · 统计学 2020-08-06 Yi Li , Sumi Seo , Kyu Ha Lee

Bayesian inference with empirical likelihood faces a challenge as the posterior domain is a proper subset of the original parameter space due to the convex hull constraint. We propose a regularized exponentially tilted empirical likelihood…

统计方法学 · 统计学 2026-04-23 Eunseop Kim , Steven N. MacEachern , Mario Peruggia