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We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

Statistics Theory · Mathematics 2013-11-05 Zhengjia Chen , Xinjia Chen

In the context of adaptive Monte Carlo algorithms, we cannot directly generate independent samples from the distribution of interest but use a proxy which we need to be close to the target. Generally, such a proxy distribution is a…

Statistics Theory · Mathematics 2011-11-15 Christian Schäfer

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

Methodology · Statistics 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructed…

Variational inference using the reparameterization trick has enabled large-scale approximate Bayesian inference in complex probabilistic models, leveraging stochastic optimization to sidestep intractable expectations. The reparameterization…

Machine Learning · Statistics 2020-02-13 Christian A. Naesseth , Francisco J. R. Ruiz , Scott W. Linderman , David M. Blei

This paper introduces a new four-parameter lifetime model called the Weibull Birnbaum-Saunders distribution. This new distribution represents a more flexible model for the lifetime data. Its failure rate function can be increasing,…

Applications · Statistics 2016-04-19 Lazhar Benkhelifa

A new method called "variational sampling" is proposed to estimate integrals under probability distributions that can be evaluated up to a normalizing constant. The key idea is to fit the target distribution with an exponential family model…

Computation · Statistics 2013-10-15 Alexis Roche

In this paper, we propose Continuous Graph Flow, a generative continuous flow based method that aims to model complex distributions of graph-structured data. Once learned, the model can be applied to an arbitrary graph, defining a…

Machine Learning · Computer Science 2019-10-01 Zhiwei Deng , Megha Nawhal , Lili Meng , Greg Mori

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

In this paper, we develop a simulation-based framework for regularized logistic regression, exploiting two novel results for scale mixtures of normals. By carefully choosing a hierarchical model for the likelihood by one type of mixture,…

Methodology · Statistics 2015-03-17 Robert B. Gramacy , Nicholas G. Polson

We introduce and motivate generative modeling as a central task for machine learning and provide a critical view of the algorithms which have been proposed for solving this task. We overview how generative modeling can be defined…

Machine Learning · Computer Science 2021-03-02 Alex Lamb

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…

Statistics Theory · Mathematics 2020-02-11 Christophe Chesneau , Hassan S. Bakouch , Muhammad Nauman Khan

In this paper, we introduce a new extension of the generalized linear failure rate distributions. It includes some well-known lifetime distributions such as extension of generalized exponential and generalized linear failure rate…

Statistics Theory · Mathematics 2016-03-10 Mohammad Reza Kazemi , Ali Akbar Jafari , Saeid Tahmasebi

In this paper we develop a very general class of bivariate discrete distributions. The basic idea is very simple. The marginals are obtained by taking the random geometric sum of a baseline distribution function. The proposed class of…

Methodology · Statistics 2018-05-22 Debasis Kundu

The paper offers a unified approach to the study of three locally adaptive estimation methods in the context of univariate time series from both theoretical and empirical points of view. A general procedure for the computation of critical…

Statistics Theory · Mathematics 2008-12-03 Mstislav Elagin

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

Statistics Theory · Mathematics 2016-07-20 P. L. Ramos , F. Louzada

A random phenomenon may have two sources of random variation: an unstable identity and a set of external variation-generating factors. When only a single source is active, two mutually exclusive extreme scenarios may ensue that result in…

Statistics Theory · Mathematics 2015-07-28 Haim Shore

We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed…

Data Analysis, Statistics and Probability · Physics 2010-04-30 G. Palla , L. Lovasz , T. Vicsek

In this study, a family of distributions called cubic lower record-based transmuted is provided. A special case of this family is proposed as an alternative exponential distribution. Several statistical properties are explored. We utilize…

Methodology · Statistics 2026-01-06 Caner Tanış