Abstract
The materials presented in this book are undeniably technical in nature. We established numerous theoretical conclusions by relying on classical probability theory results. Although these conclusions are well-known, many of us often struggle to recall the exact details. Notably, these conclusions are sometimes quoted from papers or books without specifying their applicability to a given context, making it challenging to ensure that the required conditions are met. Chapter 17 compiles some of these cited conclusions from the previous chapters to facilitate reference and ensure clarity regarding their specific contexts.
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References
Bickel, P.J., and K. A. Doksum. 2015. Mathematical Statistics: Basic Ideas and Selected Topics, vol. 2. Boca Raton: CRC Press.
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Rubin, H. 1956. Uniform convergence of random functions with applications to statistics. The Annals of Mathematical Statistics 27: 200–203.
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Chen, J. (2023). A Few Key Probability Theory Results. In: Statistical Inference Under Mixture Models. ICSA Book Series in Statistics. Springer, Singapore. https://doi.org/10.1007/978-981-99-6141-2_17
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DOI: https://doi.org/10.1007/978-981-99-6141-2_17
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