The current research creates an overall relative analysis concerning the estimation of Meixner process parameters via the wavelet packet transform. Of noteworthy presentation relevance, it compares the moment method and the wavelet packet estimator for the four parameters of the Meixner process. In this paper, the research focuses on finding the best threshold value using the square root log and modified square root log methods with the wavelet packets in the presence of noise to enhance the efficiency and effectiveness of the denoising process for the financial asset market signal. In this regard, a simulation study compares the performance of moment estimation and wavelet packets for different sample sizes. The results show that wavelet packets are the best performers when associated with a robust threshold strategy for estimation. Illustrated below is the applicability of the proposed method by a real-world application from the foreign exchange market, emphasizing the use of wavelet packets for parameter estimation and the potential for improvement under stochastic modeling and analysis.
