Technical note: Sufficient operational statistics

被引:1
作者
Jia, Justin [1 ]
Katok, Elena [2 ]
机构
[1] Univ Tennessee, Haslam Coll Business, Knoxville, TN 37996 USA
[2] Univ Texas Dallas, Naveen Jindal Sch Management, Richardson, TX 75083 USA
关键词
data-driven decision making; data reduction; operational statistics; sufficiency;
D O I
10.1111/poms.13678
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The decision in a data-driven decision-making problem is generally a high-dimensional function of data. When can the decision be reduced to a single-dimensional function of a statistic? This study addresses this question based on the operational statistics literature. The study introduces the notion of sufficient operational statistics and derives the factorization theorem for identifying such statistics. Further, the study proposes a solution procedure based on the statistics and derives the finite-sample performance bound of the proposed solution.
引用
收藏
页码:2429 / 2437
页数:9
相关论文
共 11 条
[1]   The Big Data Newsvendor: Practical Insights from Machine Learning [J].
Ban, Gah-Yi ;
Rudin, Cynthia .
OPERATIONS RESEARCH, 2019, 67 (01) :90-108
[2]   Solving operational statistics via a Bayesian analysis [J].
Chu, Leon Yang ;
Shanthikumar, J. George ;
Shen, Zuo-Jun Max .
OPERATIONS RESEARCH LETTERS, 2008, 36 (01) :110-116
[3]  
Cobb C. W., 1928, The American Economic Review, V18, P139, DOI DOI 10.2307/1811556
[4]  
Jia J., 2021, DO SELLERS SET AUCTI
[5]  
Krishna V., 2010, Auction Theory, V2nd
[6]   Provably near-optimal sampling-based policies for stochastic inventory control models [J].
Levi, Retsef ;
Roundy, Robin O. ;
Shmoys, David B. .
MATHEMATICS OF OPERATIONS RESEARCH, 2007, 32 (04) :821-839
[7]  
Lim AE, 2006, Model uncertainty, robust optimization, and learning. Models, Methods, and Applications for Innovative Decision Making, INFORMS TutORials in Operations Research, P66, DOI DOI 10.1287/EDUC.1063.0021
[8]   A practical inventory control policy using operational statistics [J].
Liyanage, LH ;
Shanthikumar, JG .
OPERATIONS RESEARCH LETTERS, 2005, 33 (04) :341-348
[9]   Technical Note - Operational Statistics: Properties and the Risk-Averse Case [J].
Lu, Mengshi ;
Shanthikumar, J. George ;
Shen, Zuo-Jun Max .
NAVAL RESEARCH LOGISTICS, 2015, 62 (03) :206-214
[10]   Inventory Policy with Parametric Demand: Operational Statistics, Linear Correction, and Regression [J].
Ramamurthy, Vivek ;
Shanthikumar, J. George ;
Shen, Zuo-Jun Max .
PRODUCTION AND OPERATIONS MANAGEMENT, 2012, 21 (02) :291-308