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We propose a multivariate probability distribution for categorical and ordinal random variables. To this end, we use the Grassmann distribution in conjunction with dummy encoding of categorical and ordinal variables. To realize the…

统计方法学 · 统计学 2023-04-04 Takashi Arai

Simultaneous predictive densities for independent Poisson observables are investigated. The observed data and the target variables to be predicted are independently distributed according to different Poisson distributions parametrized by…

统计理论 · 数学 2021-05-27 Fumiyasu Komaki

The Yule-Simon distribution is usually employed in the analysis of frequency data. As the Bayesian literature, so far, ignored this distribution, here we show the derivation of two objective priors for the parameter of the Yule-Simon…

统计方法学 · 统计学 2017-07-04 Fabrizio Leisen , Luca Rossini , Cristiano Villa

The computation of two Bayesian predictive distributions which are discrete mixtures of incomplete beta functions is considered. The number of iterations can easily become large for these distributions and thus, the accuracy of the result…

统计理论 · 数学 2007-06-13 Jacques Poitevineau , Bruno Lecoutre

In this paper we propose to make Bayesian inferences for the parameters of the Lomax distribution using non-informative priors, namely the Jeffreys prior and the reference prior. We assess Bayesian estimation through a Monte Carlo study…

统计方法学 · 统计学 2016-02-29 Paulo Ferreira , Jhon Gonzales , Vera Tomazella , Ricardo Ehlers , Francisco Louzada , Eveliny Silva

The recently developed semi-parametric generalized linear model (SPGLM) offers more flexibility as compared to the classical GLM by including the baseline or reference distribution of the response as an additional parameter in the model.…

统计方法学 · 统计学 2024-04-09 Entejar Alam , Peter Müller , Paul J. Rathouz

Three different inferential problems related to a two dimensional categorical data from a Bayesian perspective have been discussed in this article. Conjugate prior distribution with symmetric and asymmetric hyper parameters are considered.…

统计理论 · 数学 2024-09-05 Samyajoy Pal , Christian Heumann , M. Subbiah

This paper proposes new methodology for sequential state and parameter estimation within the ensemble Kalman filter. The method is fully Bayesian and propagates the joint posterior density of states and parameters over time. In order to…

统计方法学 · 统计学 2016-11-14 Jonathan R. Stroud , Matthias Katzfuss , Christopher K. Wikle

There is no easy extension of Kaplan-Meier and Nelson-Aalen estimators to the bivariate case, and estimating bivariate survival distributions nonparametrically is associated with various non-trivial problems. The Dabrowska estimator will…

统计理论 · 数学 2026-04-15 J. K. Ghosh , Nils Lid Hjort , C. Messan , R. V. Ramamoorthi

In this paper reference and probability-matching priors are derived for the univariate Student $t$-distribution. These priors generally lead to procedures with properties frequentists can relate to while still retaining Bayes validity. The…

统计计算 · 统计学 2021-04-16 A. J. van der Merwe , M. J. von Maltitz , J. H. Meyer

The paper introduces a Bayesian estimation method for quantile regression in univariate ordinal models. Two algorithms are presented that utilize the latent variable inferential framework of Albert and Chib (1993) and the normal-exponential…

统计方法学 · 统计学 2022-09-30 Mohammad Arshad Rahman

This paper is concerned with making Bayesian inference from data that are assumed to be drawn from a Bingham distribution. A barrier to the Bayesian approach is the parameter-dependent normalising constant of the Bingham distribution,…

统计计算 · 统计学 2014-01-14 Christopher J. Fallaize , Theodore Kypraios

A new family of continuous distribution is proposed by using Kumaraswamy-G (Cordeiro and de Castro, 2011) distribution as the base line distribution in the Marshal-Olkin (Marshall and Olkin, 1997) construction. A number of known…

统计理论 · 数学 2016-08-23 Laba Handique , Subrata Chakraborty

In this paper, we describe a general method for constructing the posterior distribution of an option price. Our framework takes as inputs the prior distributions of the parameters of the stochastic process followed by the underlying, as…

计算工程、金融与科学 · 计算机科学 2008-12-02 Henryk Gzyl , Enrique ter Horst , Samuel Malone

This article discusses prior distributions for the parameters of Gaussian processes (GPs) that are widely used as surrogate models to emulate expensive computer simulations. The parameters typically involve mean parameters, a variance…

统计方法学 · 统计学 2025-03-18 Mengyang Gu , Victor De Oliveira

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

统计方法学 · 统计学 2015-07-14 Yun Yang , Surya Tokdar

In this article, we have considered one parameter polynomial exponential (OPPE) distribution. The exponential, Lindley, length-biased Lindley and Sujatha distribution are particular cases. Two estimators viz, MLE and UMVUE of the PDF and…

统计方法学 · 统计学 2020-06-12 Indrani Mukherjee , Sudhansu S. Maiti , Vijay Vir Singh

Ordinal categorical data are routinely encountered in many practical applications. When the primary goal is to construct a regression model for ordinal outcomes, cumulative link models represent one of the most popular choices to link the…

统计方法学 · 统计学 2026-03-13 Emanuele Aliverti

In this paper, we present a method for computing the marginal likelihood, also known as the model likelihood or Bayesian evidence, from Markov Chain Monte Carlo (MCMC), or other sampled posterior distributions. In order to do this, one…

Bayesian inferences in high energy physics often use uniform prior distributions for parameters about which little or no information is available before data are collected. The resulting posterior distributions are therefore sensitive to…

应用统计 · 统计学 2011-06-03 Luc Demortier , Supriya Jain , Harrison B. Prosper