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A classical portfolio theory deals with finding the optimal proportion in which an agent invests a wealth in a risk-free asset and a probabilistic risky asset. Formulating and solving the problem depend on how the risk is represented and…

Portfolio Management · Quantitative Finance 2019-01-28 Irina Georgescu , Jani Kinnunen

The most fundamental problem in statistics is the inference of an unknown probability distribution from a finite number of samples. For a specific observed data set, answers to the following questions would be desirable: (1) Estimation:…

Statistics Theory · Mathematics 2013-01-23 Ali Kinkhabwala

In this paper, an attempt has been made to develop a simple leakage inventory model without shortages with instantaneous or finite production rate under fuzzy environment. In the present day scenario, it is difficult to decide the exact…

Optimization and Control · Mathematics 2022-02-21 Huidrom Malemnganbi , M. Kuber Singh

The paper deals with a lot sizing problem with ill-known demands modeled by fuzzy intervals whose membership functions are possibility distributions for the values of the uncertain demands. Optimization criteria, in the setting of…

Other Computer Science · Computer Science 2012-10-22 Romain Guillaume , Przemyslaw Kobylanski , Pawel Zielinski

Fuzzy optimization deals with the problem of determining 'optimal'solutions of an optimization problem when some of the elements that appear in the problem are not precise. In real situations it is usual to have information, in systems…

Optimization and Control · Mathematics 2009-08-27 Victor Blanco , Justo Puerto

It is well known over the recent years that measuring the success of projects under the umbrella of project management is inextricably linked with the associated cost, time, and quality. Most of the previous researches in the field assigned…

Optimization and Control · Mathematics 2024-01-17 Mohammad Sammany , Ahmad Steef , Nedaa Agami , T. Medhat

This paper is to consider the problems of estimation and recognition from the perspective of sigma-max inference (probability-possibility inference), with a focus on discovering whether some of the unknown quantities involved could be more…

Systems and Control · Electrical Eng. & Systems 2022-03-09 Wei Mei , Yunfeng Xu , Limin Liu

The Best-Worst Method (BWM) is a well-known Multi-Criteria Decision-Making (MCDM) method used to calculate criteria-weights in many real-life applications. It was observed that the decision judgments used to calculate weights in BWM may be…

Optimization and Control · Mathematics 2025-01-29 Harshit M Ratandhara , Mohit Kumar

Fisher's fiducial argument is widely viewed as a failed version of Neyman's theory of confidence limits. But Fisher's goal -- Bayesian-like probabilistic uncertainty quantification without priors -- was more ambitious than Neyman's, and…

Statistics Theory · Mathematics 2023-12-25 Ryan Martin

The optimization on the structure of process of information management under uncertain environment has attracted lots of attention from researchers around the world. Nevertheless, how to obtain accurate and rational evaluation from…

Artificial Intelligence · Computer Science 2024-12-30 Yuanpeng He

Motivated by parametric models for which the likelihood is analytically unavailable, numerically unstable, or prohibitively expensive to compute or optimize, we develop a prior- and likelihood-free framework for fully probabilistic…

Methodology · Statistics 2026-03-17 Leonardo Cella , Emily C. Hector

This article includes a discussion of the ``lost submarine problem", following Morey \emph{et al} (2016). As the title of that paper suggests (\emph{The fallacy of placing confidence in confidence intervals}), the example is intended to…

Other Statistics · Statistics 2026-02-02 Anthony Almudevar

This article addresses the fuzzy logistic regression model under conditions of multicollinearity, which causes instability and inflated variance in parameter estimation. In this model, both the response variable and parameters are…

Applications · Statistics 2026-02-03 Ayad Habib Shemail , Ahmed Razzaq Al-Lami , Amal Hadi Rashid

Robot reliability has become an increasingly important issue in the last few years due to increased application of robots in many industries (like automobile industry) under hazardous and unstructured environment. As the component failure…

Optimization and Control · Mathematics 2009-07-21 Ajay Kumar , S. P. Sharma , Dinesh Kumar

We address the problem of computing reliable policies in reinforcement learning problems with limited data. In particular, we compute policies that achieve good returns with high confidence when deployed. This objective, known as the…

Machine Learning · Computer Science 2021-03-01 Bahram Behzadian , Reazul Hasan Russel , Marek Petrik , Chin Pang Ho

The problem of many hypotheses logarithmically asymptotically optimal (LAO) testing for a model consisting of three or more independent objects is solved. It is supposed that $M$ probability distributions are known and each object…

Information Theory · Computer Science 2007-07-13 Evgueni A. Haroutunian , Parandzem M. Hakobyan

It is known that when the multicollinearity exists in the logistic regression model, variance of maximum likelihood estimator is unstable. As a remedy, in the context of biased shrinkage ridge estimation, Chang (2015) introduced an almost…

Statistics Theory · Mathematics 2017-07-25 Jibo Wu , Yasin Asar , M. Arashi

The inferential model (IM) framework produces data-dependent, non-additive degrees of belief about the unknown parameter that are provably valid. The validity property guarantees, among other things, that inference procedures derived from…

Statistics Theory · Mathematics 2021-08-05 Chuanhai Liu , Ryan Martin

We introduce a novel strategy to address the issue of demand estimation in single-item single-period stochastic inventory optimisation problems. Our strategy analytically combines confidence interval analysis and inventory optimisation. We…

Optimization and Control · Mathematics 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim , Brahim Hnich

The classical B\"{u}hlmann credibility model has been widely applied to premium estimation for group insurance contracts and other insurance types. In this paper, we develop a robust B\"{u}hlmann credibility model using the winsorized…

Applications · Statistics 2024-07-23 Qian Zhao , Chudamani Poudyal
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