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Warranty policies play a crucial role in balancing customer satisfaction and cost of the manufacturer. Traditional one-dimensional warranty frameworks, based solely on either age or usage, often fail to capture the joint effect of product…

Applications · Statistics 2025-09-15 Tanmay Sen , Rathin Das , Ritwik Bhattacharya

Determination of an appropriate warranty length for the lifetime of the product is an important issue to the manufacturer. In this article, optimal warranty length of the product for the combined free replacement and the pro-rata warranty…

General Economics · Economics 2020-04-21 Tanmay Sen , Ritwik Bhattacharya , Biswabrata Pradhan , Yogesh Mani Tripathi

We approximate the distribution of total expenditure of a retail company over warranty claims incurred in a fixed period [0, T], say the following quarter. We consider two kinds of warranty policies, namely, the non-renewing free…

General Finance · Quantitative Finance 2010-08-06 Abhimanyu Mitra , Sidney I. Resnick

All multi-component product manufacturing companies face the problem of warranty cost estimation. Failure rate analysis of components plays a key role in this problem. Data source used for failure rate analysis has traditionally been past…

Artificial Intelligence · Computer Science 2014-11-13 Karamjit Singh , Puneet Agarwal , Gautam Shroff

Traditional functional linear regression usually takes a one-dimensional functional predictor as input and estimates the continuous coefficient function. Modern applications often generate two-dimensional covariates, which become matrices…

Methodology · Statistics 2024-11-26 Dan Yang , Jianlong Shao , Haipeng Shen , Hongtu Zhu

This paper proposes a two-stage pricing strategy for nondurable (such as typical electronics) products, where retail price is cut down at certain time points of the product lifecycle. We consider learning effect of electronic products that,…

General Economics · Economics 2021-10-25 Yanrong Li , Lai Wei , Wei Jiang

Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

Machine Learning · Statistics 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

In this paper, we propose a risk-based data-driven approach to optimal power flow (DROPF) with dynamic line rating. The risk terms, including penalties for load shedding, wind generation curtailment and line overload, are embedded into the…

Optimization and Control · Mathematics 2017-12-22 Cheng Wang , Rui Gao , Feng Qiu , Jianhui Wang , Linwei Xin

Two-phase designs measure variables of interest on a subcohort where the outcome and covariates are readily available or cheap to collect on all individuals in the cohort. Given limited resource availability, it is of interest to find an…

Methodology · Statistics 2022-01-11 Tong Chen , Thomas Lumley

The transmission rate, delivery reliability and network lifetime are three fundamental but conflicting design objectives in energy-constrained wireless sensor networks. In this paper, we address the optimal rate-reliability-lifetime…

Networking and Internet Architecture · Computer Science 2013-03-18 Weiqiang Xu , Qingjiang Shi , Xiaoyun Wei , Yaming Wang

Location-based services such as autonomous vehicles, drones, and indoor positioning require precise and scalable distance estimates. The bias and variance of range estimators inherently influence the resulting localization quality. In this…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Patrick Rathje , Olaf Landsiedel

Bernard et al. (2015) study an optimal insurance design problem where an individual's preference is of the rank-dependent utility (RDU) type, and show that in general an optimal contract covers both large and small losses. However, their…

Mathematical Finance · Quantitative Finance 2022-01-07 Xu Zuo Quan , Zhou Xun Yu , Zhuang Sheng Chao

This paper presents a modeling framework to optimize the two-dimensional placement of powertrain elements inside the vehicle, explicitly accounting for the rotation, relative placement and alignment. Specifically, we first capture the…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Jorn van Kampen , Mauro Salazar , Theo Hofman

Time-of-flight-based ranging among transceivers with different clocks requires protocols that accommodate varying rates of the clocks. Double-sided two-way ranging (DS-TWR) is widely adopted as a standard protocol due to its accuracy;…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Mohammed Ayman Shalaby , Charles Champagne Cossette , James Richard Forbes , Jerome Le Ny

Robust design has been widely recognized as a leading method in reducing variability and improving quality. Most of the engineering statistics literature mainly focuses on finding "point estimates" of the optimum operating conditions for…

Methodology · Statistics 2013-08-14 Chanseok Park

This paper explores optimal insurance solutions based on the Lambda-Value-at-Risk ($\Lambda\VaR$). If the expected value premium principle is used, our findings confirm that, similar to the VaR model, a truncated stop-loss indemnity is…

Risk Management · Quantitative Finance 2025-08-19 Tim J. Boonen , Yuyu Chen , Xia Han , Qiuqi Wang

It is shown that fractal dimension can be estimated seeking a solution of functional equation defined for areas of coverages of different scales. The method proposed is compared with widely known way to estimate fractal dimension via linear…

Chaotic Dynamics · Physics 2021-03-16 Dmitry Zhabin

We present a joint copula-based model for insurance claims and sizes. It uses bivariate copulae to accommodate for the dependence between these quantities. We derive the general distribution of the policy loss without the restrictive…

Statistics Theory · Mathematics 2012-09-25 Nicole Kraemer , Eike C. Brechmann , Daniel Silvestrini , Claudia Czado

Motivated by real-world applications such as rental and cloud computing services, we investigate pricing for reusable resources. We consider a system where a single resource with a fixed number of identical copies serves customers with…

Optimization and Control · Mathematics 2025-06-24 Santiago R. Balseiro , Will Ma , Wenxin Zhang

This paper investigates two optimal insurance contracting problems under distributional uncertainty from the perspective of a potential policyholder, utilizing a Bregman-Wasserstein (BW) ball to characterize the ambiguity set of loss…

Risk Management · Quantitative Finance 2026-05-01 Wenjun Jiang , Qingqing Zhang , Yiying Zhang
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