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Nonparametric Estimation of the Laplace Transform from Empirical Data Using Symmetric Kernels Method
Raogo Frank Emile Er Jumeau Kabore, Sobom Matthieu Some, Abel Zongo, S Pierre Clovis Nitiema

Nonparametric Estimation of the Laplace Transform from Empirical Data Using Symmetric Kernels Method

Science & Mathematics Published 2025 Verification Pending

Overview & Synopsis

Focusing on the use of a Gaussian kernel, the paper constructs a nonparametric Laplace transform estimator via symmetric kernel methodology. Convergence rates and an asymptotic mean integrated squared error (AMISE) formula are used to establish theoretical properties of the estimator and guide optimal bandwidth choice. Finite-sample performance is evaluated through comprehensive simulations. Real and synthetic data applications illustrate practical utility. Estimator robustness and accuracy are showed in outcomes, interpretation the implement valuable across statistical and practical fields.

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Document Information

Document Title Nonparametric Estimation of the Laplace Transform from Empirical Data Using Symmetric Kernels Method
Author / Organization Raogo Frank Emile Er Jumeau Kabore, Sobom Matthieu Some, Abel Zongo, S Pierre Clovis Nitiema
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2025
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-254635
Original Source Link Visit Source Page on hal.science »