Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty

Nicholas A. Nechval; Konstantin N. Nechval; Uldis Rozevskis

Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty

Nicholas A. Nechval
, Konstantin N. Nechval
, Uldis Rozevskis

Department of Management and Business

University of Latvia
Transport and Telecommunication Institute (TSI)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

Abstract

In this paper, we propose a new approach to solve constrained optimization problems under uncertainty. This approach is based on the statistical inference equivalence principle, the idea of which belongs to the authors. It is especially effective when we deal with asymmetric loss functions and small data samples. The results obtained in this paper agree with the simulation results, which confirm the validity of the theoretical predictions of performance of the suggested approach.

Original language	English
Title of host publication	Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005
Pages	1439-1444
Number of pages	6
Publication status	Published - 2005
Event	35th International Conference on Computers and Industrial Engineering, ICC and IE 2005 - Istanbul, Turkey Duration: 19 Jun 2005 → 22 Jun 2005

Publication series

Name	Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005

Conference

Conference	35th International Conference on Computers and Industrial Engineering, ICC and IE 2005
Country/Territory	Turkey
City	Istanbul
Period	19/06/05 → 22/06/05

Keywords

Constraints
Optimization
Statistical inference equivalence principle
Uncertainty

Cite this

Nechval, N. A., Nechval, K. N., & Rozevskis, U. (2005). Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty. In Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005 (pp. 1439-1444). (Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005).

Nechval, Nicholas A. ; Nechval, Konstantin N. ; Rozevskis, Uldis. / Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty. Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005. 2005. pp. 1439-1444 (Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005).

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title = "Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty",

abstract = "In this paper, we propose a new approach to solve constrained optimization problems under uncertainty. This approach is based on the statistical inference equivalence principle, the idea of which belongs to the authors. It is especially effective when we deal with asymmetric loss functions and small data samples. The results obtained in this paper agree with the simulation results, which confirm the validity of the theoretical predictions of performance of the suggested approach.",

keywords = "Constraints, Optimization, Statistical inference equivalence principle, Uncertainty",

author = "Nechval, \{Nicholas A.\} and Nechval, \{Konstantin N.\} and Uldis Rozevskis",

year = "2005",

language = "English",

isbn = "9755612653",

series = "Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005",

pages = "1439--1444",

booktitle = "Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005",

note = "35th International Conference on Computers and Industrial Engineering, ICC and IE 2005 ; Conference date: 19-06-2005 Through 22-06-2005",

}

Nechval, NA, Nechval, KN & Rozevskis, U 2005, Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty. in Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005. Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005, pp. 1439-1444, 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005, Istanbul, Turkey, 19/06/05.

Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty. / Nechval, Nicholas A.; Nechval, Konstantin N.; Rozevskis, Uldis.
Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005. 2005. p. 1439-1444 (Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

TY - GEN

T1 - Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty

AU - Nechval, Nicholas A.

AU - Nechval, Konstantin N.

AU - Rozevskis, Uldis

PY - 2005

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N2 - In this paper, we propose a new approach to solve constrained optimization problems under uncertainty. This approach is based on the statistical inference equivalence principle, the idea of which belongs to the authors. It is especially effective when we deal with asymmetric loss functions and small data samples. The results obtained in this paper agree with the simulation results, which confirm the validity of the theoretical predictions of performance of the suggested approach.

AB - In this paper, we propose a new approach to solve constrained optimization problems under uncertainty. This approach is based on the statistical inference equivalence principle, the idea of which belongs to the authors. It is especially effective when we deal with asymmetric loss functions and small data samples. The results obtained in this paper agree with the simulation results, which confirm the validity of the theoretical predictions of performance of the suggested approach.

KW - Constraints

KW - Optimization

KW - Statistical inference equivalence principle

KW - Uncertainty

UR - https://www.scopus.com/pages/publications/84886890738

M3 - Conference paper

AN - SCOPUS:84886890738

SN - 9755612653

SN - 9789755612652

T3 - Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005

SP - 1439

EP - 1444

BT - Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005

T2 - 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005

Y2 - 19 June 2005 through 22 June 2005

ER -

Nechval NA, Nechval KN, Rozevskis U. Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty. In Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005. 2005. p. 1439-1444. (Proceedings of the 35th International Conference on Computers and Industrial Engineering, ICC and IE 2005).

Statistical inference equivalence principle and its applications to constrained optimization of decisions under uncertainty

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Publication series

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Keywords

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