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The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of…

Methodology · Statistics 2021-06-22 Cira E. G. Otiniano , Roberto Vila , Pedro C. Brom , Marcelo Bourguignon

In statistics, processed data are becoming increasingly complex, and classical probability distributions are limited in their ability to model them. This is why, to better model data, extensive work has been conducted on extending classical…

Methodology · Statistics 2025-08-12 Issa Cherif Geraldo , Edoh Katchekpele , Tchilabalo Abozou Kpanzou

In this paper we study bayesian analysis of Modified Weibull distribution under progressively censored competing risk model. This study is made for progressively censored data. We use deterministic scan Gibbs sampling combined with slice…

Computation · Statistics 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey

Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that…

Methodology · Statistics 2025-03-14 Edoh Katchekpele , Issa Cherif Geraldo , Tchilabalo Abozou Kpanzou

Non-Gaussian mixture models are gaining increasing attention for mixture model-based clustering particularly when dealing with data that exhibit features such as skewness and heavy tails. Here, such a mixture distribution is presented,…

Computation · Statistics 2020-05-07 Yuan Fang , Dimitris Karlis , Sanjeena Subedi

In this paper, we introduce the generalized Gompertz-power series class of distributions which is obtained by compounding generalized Gompertz and power series distributions. This compounding procedure follows same way that was previously…

Methodology · Statistics 2015-09-01 Saeid Tahmasebi , Ali Akbar Jafari

Extreme value distributions are routinely employed to assess risks connected to extreme events in a large number of applications. They typically are two- or three- parameter distributions: the inference can be unstable, which is…

Statistics Theory · Mathematics 2026-02-19 Nathan Huet , Ilaria Prosdocimi

In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up…

Statistics Theory · Mathematics 2025-12-11 Felipe S. Quintino , Pushpa N. Rathie , Luan C. S. M. Ozelim , Tiago A. da Fonseca , Roberto Vila

The proportional hazards model represents the most commonly assumed hazard structure when analysing time to event data using regression models. We study a general hazard structure which contains, as particular cases, proportional hazards,…

Methodology · Statistics 2018-05-24 Francisco J. Rubio , Laurent Remontet , Nicholas P. Jewell , Aurélien Belot

We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein ambiguity set to infer the inverse covariance matrix of a $p$-dimensional Gaussian random vector from $n$ independent samples. The proposed model…

Optimization and Control · Mathematics 2018-05-21 Viet Anh Nguyen , Daniel Kuhn , Peyman Mohajerin Esfahani

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…

Methodology · Statistics 2012-10-17 B. N. Pandey , Pulastya Bandyopadhyay

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…

Methodology · Statistics 2025-02-17 Iman Mohammed Attia

This paper develops a Bayesian control chart for the percentiles of the Weibull distribution, when both its in-control and out-of-control parameters are unknown. The Bayesian approach enhances parameter estimates for small sample sizes that…

Methodology · Statistics 2013-08-06 Pasquale Erto , Giuliana Pallotta , Christina M. Mastrangelo

This paper proposes new estimators for the propensity score that aim to maximize the covariate distribution balance among different treatment groups. Heuristically, our proposed procedure attempts to estimate a propensity score model by…

Econometrics · Economics 2020-04-07 Pedro H. C. Sant'Anna , Xiaojun Song , Qi Xu

A multivariate survival function of Weibull Distribution is developed by expanding the theorem by Lu and Bhattacharyya (1990). From the survival function, the probability density function, the cumulative probability function, the…

Statistics Theory · Mathematics 2007-06-13 Cheng K. Lee , Miin-Jye Wen

The progressive censoring scheme has received considerable amount of attention in the last fifteen years. During the last few years joint progressive censoring scheme has gained some popularity. Recently, the authors Mondal and Kundu ("A…

Applications · Statistics 2018-01-03 Shuvashree Mondal , Debasis Kundu

In this paper we introduce five different algorithms based on method of moments, maximum likelihood and full Bayesian estimation for learning the parameters of the Inverse Gamma distribution. We also provide an expression for the KL…

Methodology · Statistics 2016-07-11 A. Llera , C. F. Beckmann

Randomized algorithms sometimes employ a restart strategy. After a certain number of steps, the current computation is aborted and restarted with a new, independent random seed. In some cases, this results in an improved overall expected…

Data Structures and Algorithms · Computer Science 2019-04-29 Jan-Hendrik Lorenz

This paper generalises the exponential family GLM to allow arbitrary distributions for the response variable. This is achieved by combining the model-assisted regression approach from survey sampling with the GLM scoring algorithm, weighted…

Methodology · Statistics 2019-01-10 Murray Aitkin

We study extremal statistics and return intervals in stationary long-range correlated sequences for which the underlying probability density function is bounded and uniform. The extremal statistics we consider e.g., maximum relative to…

Statistical Mechanics · Physics 2015-05-13 N. R. Moloney , J. Davidsen