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We provide in this paper simulation algorithms for one-sided and two-sided truncated normal distributions. These algorithms are then used to simulate multivariate normal variables with restricted parameter space for any covariance…

Computation · Statistics 2009-07-24 Christian P. Robert

In the framework of censored data modeling, the classical linear regression model that assumes normally distributed random errors has received increasing attention in recent years, mainly for mathematical and computational convenience.…

Methodology · Statistics 2020-11-17 Mehrdad Naderi , Elham Mirfarah , Matthew Bernhardt , Ding-Geng Chen

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

Methodology · Statistics 2025-08-01 Jeonghwa Lee , Chloe Breece

The skewing mechanism of Azzalini for continuous distributions is used for the first time to derive a new generalization of the geometric distribution. Various structural properties of the proposed distribution are investigated.…

Statistics Theory · Mathematics 2020-10-12 Seng Huat Ong , Subrata Chakraborty , Aniket Biswas

Available in the literature are properties which characterize the gamma distribution via independence of two appropriately chosen statistics. Well-known is the classical result when one of the statistics is the sample mean and the other one…

Probability · Mathematics 2022-07-26 Gwo Dong Lin , Jordan M. Stoyanov

Distribution data refers to a data set where each sample is represented as a probability distribution, a subject area receiving burgeoning interest in the field of statistics. Although several studies have developed…

Methodology · Statistics 2024-02-09 Ryo Okano , Masaaki Imaizumi

Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose…

Methodology · Statistics 2024-08-29 Ashok Kumar Pathak , Mohd. Arshad , Qazi J. Azhad , Mukti Khetan , Arvind Pandey

In this investigation, the distribution of the ratio of two independently distributed xgamma (Sen et al. 2016) random variables X and Y , with different parameters, is proposed and studied. The related distributional properties such as,…

Methodology · Statistics 2024-02-23 Subhradev Sen , Suman K. Ghosh , Hazem Al-Mofleh

A hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes. We study the estimation of parameters of weighted exponential distribution based on Type-II hybrid censored data. By applying EM algorithm, maximum likelihood…

Statistics Theory · Mathematics 2012-03-02 Akram Kohansal , Saeid Rezakhah

In certain privacy-sensitive scenarios within fields such as clinical trial simulations, federated learning, and distributed learning, researchers often face the challenge of estimating correlations between variables without access to…

Methodology · Statistics 2025-08-05 Longwen Shang , Min Tsao , Xuekui Zhang

Several distributions and families of distributions are proposed to model skewed data, think, e.g., of skew-normal and related distributions. Lambert W random variables offer an alternative approach where, instead of constructing a new…

Methodology · Statistics 2023-10-17 Meelis Käärik , Anne Selart , Tuuli Puhkim , Liivika Tee

In this paper we propose an objective Bayesian estimation approach for the parameters of the generalized gamma distribution. Various reference priors are obtained, but showing that they lead to improper posterior distributions. We overcome…

Methodology · Statistics 2014-12-19 Pedro L. Ramos , Francisco Louzada

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with $\alpha$-mixing data . The uniform strong consistency over a real compact set of the estimate is established along with a…

Statistics Theory · Mathematics 2008-02-21 Zohra Guessoum , Elias Ould-Saïd

We propose new closed-form estimators for the parameters of McKay's bivariate gamma distribution by exploiting monotone transformations of the likelihood equations. As a special case, our framework recovers the estimators recently…

Methodology · Statistics 2025-09-16 Roberto Vila , Helton Saulo

Frequentist and likelihood methods of inference based on the multivariate skew-normal model encounter several technical difficulties with this model. In spite of the popularity of this class of densities, there are no broadly satisfactory…

Methodology · Statistics 2013-02-06 Brunero Liseo , Antonio Parisi

The univariate Birnbaum-Saunders distribution has been used quite effectively to model times to failure for materials subject to fatigue and for modeling lifetime data. In this article, we define a skewed version of the Birnbaum-Saunders…

Methodology · Statistics 2012-04-30 Artur J. Lemonte , Guillermo Martínez-Florez , Germán Moreno-Arenas

In this present work, we discuss the Bayesian inference for the bivariate pseudo-exponential distribution. Initially, we assume independent gamma priors and then pseudo-gamma priors for the pseudo-exponential parameters. We are primarily…

Methodology · Statistics 2023-06-27 Banoth Veeranna

Beta regression is often used to model the relationship between a dependent variable that assumes values on the open interval (0,1) and a set of predictor variables. An important challenge in beta regression is to find residuals whose…

Methodology · Statistics 2017-04-11 Gustavo H. A. Pereira

We develop flexible multi-parameter regression survival models for interval censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multi-parameter Weibull regression…

Methodology · Statistics 2019-01-29 Defen Peng , Gilbert MacKenzie , Kevin Burke

In this article, a generalized version of Negative binomial-beta exponential distribution with five parameters have been introduced. Some interesting submodels have been derived from it. A comprehensive mathematical treatment of proposed…

Statistics Theory · Mathematics 2019-05-31 Anwar Hassan , Ishfaq Shah Ahmad , Peer Bilal Ahmad
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