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Acceptance sampling-based investment indicators for financial security selection and portfolio optimization
1Department of Mathematics, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan, India.
Journal of Applied Statistics
|July 31, 2026
Summary
This study introduces simple and double acceptance sampling investment indicators to optimize security selection for portfolios. These methods reduce portfolio size and improve returns compared to traditional models.
Area of Science:
- Finance
- Statistics
- Investment Management
Background:
- Traditional portfolio optimization often includes underperforming assets.
- Determining optimal sample sizes for investment decisions can be complex.
- Incorporating buyer's risk and uncertainty is crucial for robust financial strategies.
Purpose of the Study:
- To propose novel acceptance sampling investment indicators for financial security selection.
- To develop a generalized mean-variance portfolio optimization model incorporating risk and uncertainty.
- To enhance decision-making processes for both buyers and sellers of securities.
Main Methods:
- Development of simple and double acceptance sampling indicators based on historical data and tolerable thresholds.
- Formulation of a generalized mean-variance portfolio optimization model.
- Empirical validation using DJIA 30 index stocks.
Main Results:
- The proposed indicators effectively determine security acceptance or rejection.
- The double acceptance sampling indicator provides equivalent information with a smaller sample size.
- The generalized model demonstrated reduced portfolio size with equivalent or superior returns compared to the Markowitz model.
Conclusions:
- Acceptance sampling indicators offer an efficient method for investment decision-making.
- The generalized portfolio optimization model effectively integrates buyer's risk and entropy-based uncertainty.
- The proposed approach enhances portfolio performance and reduces investment risk.
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