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This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient conditions for well-posedness, in the sense of robust Lipschitzian…

Optimization and Control · Mathematics 2021-12-13 Boris S. Mordukhovich , Pedro Pérez-Aros

The main object of this article is to present an extension of the zero-inflated Poisson-Lindley distribution, called of zero-modified Poisson-Lindley. The additional parameter $\pi$ of the zero-modified Poisson-Lindley has a natural…

Methodology · Statistics 2018-11-28 Danillo Xavier , Manoel Santos-Neto , Marcelo Bourguignon , Vera Tomazella

In this paper, we use the method of modified signed log-likelihood ratio test for the problem of testing the equality of correlation coefficients in two independent bivariate normal distributions. We compare this method with two other…

Methodology · Statistics 2016-06-01 M. R. Kazemi , A. A. Jafari

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in…

Subcellular Processes · Quantitative Biology 2015-04-03 G. Reenaroy Devi , R. K. Brojen Singh , Ram Ramaswamy

This paper considers the joint distribution of elements of a random sample and an order statistic of the same sample. \ The motivation for this work stems from the important problem in reliability analysis, to estimate the number of…

Statistics Theory · Mathematics 2019-03-04 Ismihan Bairamov

Two of the most studied extensions of trace and testing equivalences to nondeterministic and probabilistic processes induce distinctions that have been questioned and lack properties that are desirable. Probabilistic trace-distribution…

Logic in Computer Science · Computer Science 2015-07-01 Marco Bernardo , Rocco De Nicola , Michele Loreti

The family of log-concave density functions contains various kinds of common probability distributions. Due to the shape restriction, it is possible to find the nonparametric estimate of the density, for example, the nonparametric maximum…

Methodology · Statistics 2024-01-29 Fuheng Cui , Stephen G. Walker

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-03 Lev Kazakovtsev

Finite mixtures of multivariate normal distributions have been widely used in empirical applications in diverse fields such as statistical genetics and statistical finance. Testing the number of components in multivariate normal mixture…

Statistics Theory · Mathematics 2019-02-11 Hiroyuki Kasahara , Katsumi Shimotsu

The construction of the simultaneous confidence bands for the integrated hazard function is considered. The Nelson--Aalen estimator is used. The simultaneous confidence bands based on bootstrap methods are presented. Two methods of…

Statistics Theory · Mathematics 2007-06-13 Anna Dudek , Maciej Gocwin , Jacek Leskow

This work deals with a general problem of testing multiple hypotheses about the distribution of a discrete-time stochastic process. Both the Bayesian and the conditional settings are considered. The structure of optimal sequential tests is…

Statistics Theory · Mathematics 2009-12-23 Andrey Novikov

Stochastic models share many characteristics with generic parametric models. In some ways they can be regarded as a special case. But for stochastic models there is a notion of weak distribution or generalised random variable, and the same…

Numerical Analysis · Mathematics 2018-09-05 Hermann G. Matthies

We analyze the exponential stability of distributed parameter systems. The system we consider is described by a coupled parabolic partial differential equation with spatially varying coefficients. We approximate the coefficients by…

Optimization and Control · Mathematics 2019-05-21 Masashi Wakaiki

We present a method to compute the stochastic reachability safety probabilities for high-dimensional stochastic dynamical systems. Our approach takes advantage of a nonparametric learning technique known as conditional distribution…

Systems and Control · Electrical Eng. & Systems 2020-10-19 Adam J. Thorpe , Vignesh Sivaramakrishnan , Meeko M. K. Oishi

Higher order risk measures are stochastic optimization problems by design, and for this reason they enjoy valuable properties in optimization under uncertainties. They nicely integrate with stochastic optimization problems, as has been…

Risk Management · Quantitative Finance 2024-02-26 Alois Pichler

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

Methodology · Statistics 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

We describe a system that simplifies the process of debugging programs produced by computer-aided parallelization tools. The system uses relative debugging techniques to compare serial and parallel executions in order to show where the…

Software Engineering · Computer Science 2007-05-23 Robert Hood , Gabriele Jost

In recent times we hear increasingly often about cyber attacks on various commercial and strategic sites that manage to escape any defense. In this article, we model such attacks on networks via stochastic processes and predict the time of…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

In this paper we discuss how to evaluate the differences between fitted logistic regression models across sub-populations. Our motivating example is in studying computerized diagnosis for learning disabilities, where sub-populations based…

Methodology · Statistics 2023-03-24 Guy Ashiri-Prossner , Yuval Benjamini
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