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February 25, 20260 citationsOpen Access

Asymptotic Analysis and Identifiability Checks in Time-Series Econometrics for Agricultural Yield Prediction in Tanzania,

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KMKamwiro MuhamedSESimiyu EmmanuelMAMlimu Ali

Key Points

  • The research aims to develop a rigorous model for agricultural yield prediction using time-series econometrics, focusing on stability and convergence.
  • Formulated a mathematical framework under regularity assumptions
  • Conducted stability and convergence analysis of the estimator
  • Developed a theorem-driven approach for identification checks
  • Demonstrated stability of the functional under bounded perturbations
  • Showed convergence of the estimator to a defined limit
  • Provided a reproducible basis for future theoretical and applied work

Abstract

This study addresses a current research gap in Mathematics concerning Time-Series Econometrics for agricultural yield prediction in Tanzania: asymptotic analysis and identifiability checks in Tanzania. The objective is to formulate a rigorous model, state verifiable assumptions, and derive results with direct analytical or practical implications. A theorem-driven mathematical framework was developed under explicit regularity assumptions, with stability and convergence analysis of the proposed estimator. The main results show stability of the proposed functional under bounded perturbations and convergence of the estimator to a well-defined limit, characterised by R (x) =argminₜheta L (theta;x). The findings provide a reproducible analytical basis for subsequent theoretical and applied extensions. Stakeholders should prioritise inclusive, locally grounded strategies and improve data transparency. Time-Series Econometrics for agricultural yield prediction in Tanzania: asymptotic analysis and identifiability checks, Tanzania, Africa, Mathematics, theoretical This work contributes a formal specification, transparent assumptions, and mathematically interpretable claims.

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Cite This Study

Muhamed et al. (2002) studied this question.

synapsesocial.com/papers/699e911bf5123be5ed04e671https://doi.org/10.5281/zenodo.18749683
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