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This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

Methodology · Statistics 2022-05-10 Lea Kats , Malka Gorfine

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

Optimization and Control · Mathematics 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

In this paper, we derive closed-form exact expressions for the main statistics of the ratio of squared alpha-mu random variables, which are of interest in many scenarios for future wireless networks where generalized distributions are more…

Information Theory · Computer Science 2019-02-22 J. D. Vega Sánchez , D. P. Moya Osorio , E. E. Benitez Olivo , H. Alves , M. C. P. Paredes , L. Urquiza-Aguiar

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

Robotics · Computer Science 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure…

Computation · Statistics 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

Methodology · Statistics 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

Log-symmetric regression models are particularly useful when the response variable is continuous, strictly positive and asymmetric. In this paper, we proposed a class of log-symmetric regression models in the context of correlated errors.…

Methodology · Statistics 2018-10-22 Helton Saulo , Roberto Vila

Control Barrier functions (CBFs) have attracted extensive attention for designing safe controllers for their deployment in real-world safety-critical systems. However, the perception of the surrounding environment is often subject to…

Robotics · Computer Science 2023-09-19 Alaa Eddine Chriat , Chuangchuang Sun

By considering the Einstein-Vlasov system for static spherically symmetric distributions of matter, we show that configurations with constant anisotropy parameter $\beta$ have, necessarily, a distribution function (DF) of the form…

General Relativity and Quantum Cosmology · Physics 2018-03-21 Henrique Matheus Gauy , Javier Ramos-Caro

We consider the problem of learning parameters of latent variable models from mixed (continuous and ordinal) data with missing values. We propose a novel Bayesian Gaussian copula factor (BGCF) approach that is consistent under certain…

Machine Learning · Statistics 2018-06-13 Ruifei Cui , Ioan Gabriel Bucur , Perry Groot , Tom Heskes

Nowadays, there is a series of complexities in biophysics that require a suitable approach to determine the measurable quantity. In this way, the superstatistics has been an important tool to investigate dynamic aspects of particles,…

Statistical Mechanics · Physics 2020-02-26 Maike A. F. dos Santos

We propose a regression model in which the responses are spherical variables and the covariates include linear and/or spherical variables. A novel link function is introduced by extending the M\"obius transformation on the sphere. This link…

Methodology · Statistics 2025-09-09 Shogo Kato , Kassel L. Hingee , Janice L. Scealy , Andrew T. A. Wood

The extreme cases of risk measures, when considered within the context of distributional ambiguity, provide significant guidance for practitioners specializing in risk management of quantitative finance and insurance. In contrast to the…

Risk Management · Quantitative Finance 2025-07-01 Yuting Su , Taizhong Hu , Zhenfeng Zou

A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natural extension of the distribution proposed by Acal et al.…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Christian Acal , Juan B. Roldán

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard…

Optimization and Control · Mathematics 2024-03-26 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

Optimization is widely used in statistics, and often efficiently delivers point estimates on useful spaces involving structural constraints or combinatorial structure. To quantify uncertainty, Gibbs posterior exponentiates the negative loss…

Methodology · Statistics 2025-07-23 Cheng Zeng , Eleni Dilma , Jason Xu , Leo L Duan

A six parameter distribution so-called the McDonald modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the beta…

Methodology · Statistics 2013-09-13 Faton Merovci , Ibrahim Elbatal

High-dimensional data that evolve dynamically feature predominantly in the modern data era. As a partial response to this, recent years have seen increasing emphasis to address the dimensionality challenge. However, the non-static nature of…

Methodology · Statistics 2019-01-21 Binyan Jiang , Ziqi Chen , Chenlei Leng

Deep-learning (DL) has emerged as a powerful machine-learning technique for several classic problems encountered in generic wireless communications. Specifically, random Fourier Features (RFF) based deep-learning has emerged as an…

Information Theory · Computer Science 2021-01-14 Rangeet Mitra , Georges Kaddoum

For a variant of the algorithm in [Pit19] (arXiv:1903.10816) to compute the approximate density or distribution function of a linear mixture of independent random variables known by a finite sample, it is presented a proof of the functional…

Statistics Theory · Mathematics 2019-06-19 Thomas Pitschel
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