Estimation of shifted weibull distribution parameters using optimization algorithms for optimal investment decisions making

Hamza Abubakar , Masnita Misiran , Amani Idris A. Sayed
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Abstract

This study examines the estimation of parameters for the Shifted Weibull Distribution (SWD) using several robust metaheuristic algorithms, with a focus on enhancing precision and reliability in investment data analysis. Utilizing investment return data from the Malaysian property sector, we evaluate the performance of five metaheuristic models: Election Algorithm (EA), Artificial Dragonfly Algorithm (ADA), Genetic Algorithm (GA), Differential Evolution (DE), and Ant Colony Optimization (ACO). The evaluation criteria include Bayesian Information Criterion (BIC), Root Mean Squared Error (RMSE), and accuracy. Results reveal that EA consistently outperforms other models, achieving the lowest BIC value of 147.2 and an impressive accuracy rate of 94.90% at a sample size of 1,000. The Genetic Algorithm (GA) shows the lowest RMSE of 0.99, indicating strong predictive performance. Tukey's HSD test highlights significant accuracy variations among the models, with EA and GA notably outperforming ACO and DE. However, RMSE and BIC metrics do not demonstrate clear variations among the models. These findings underscore the superior performance of the EA model in the context of SWD parameter estimation, making it the preferred choice for modeling investment return data. Future research should explore additional factors influencing model performance and validate these models with diverse real-world datasets to further enhance their applicability in financial decision-making.

利用优化算法估算移位威布尔分布参数,优化投资决策
本研究利用几种稳健的元启发式算法对偏移威布尔分布(SWD)的参数进行估算,重点是提高投资数据分析的精度和可靠性。利用马来西亚房地产行业的投资回报数据,我们评估了五个元启发式模型的性能:选举算法(EA)、人工蜻蜓算法(ADA)、遗传算法(GA)、差分进化算法(DE)和蚁群优化算法(ACO)。评估标准包括贝叶斯信息标准(BIC)、均方根误差(RMSE)和准确性。结果显示,EA 始终优于其他模型,在样本量为 1,000 个的情况下,其 BIC 值最低,为 147.2,准确率高达 94.90%,令人印象深刻。遗传算法(GA)的 RMSE 最低,仅为 0.99,显示出强大的预测性能。Tukey's HSD 检验结果表明,各模型之间的准确率差异显著,EA 和 GA 明显优于 ACO 和 DE。然而,RMSE 和 BIC 指标并没有显示出模型之间的明显差异。这些发现强调了 EA 模型在 SWD 参数估计中的优越性能,使其成为投资回报数据建模的首选。未来的研究应探索影响模型性能的其他因素,并利用各种实际数据集验证这些模型,以进一步提高其在金融决策中的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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