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A Partition Theorem for a Randomly Selected Large Population

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Abstract

A theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of the stationary population identity is stated and proved. The methods of partitioning demonstrated are original and these are helpful in real-world situations where age-wise data is available. Applications of this theorem for practical purposes are summarized at the end.

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Acknowledgements

J.R. Carey (U.C. Davis) provided appreciation and encouragement when the author posed the statement of the partition theorem for populations for the first time in 2018. This inspired the author to finish the proof. S. Tuljapurkar (Stanford University), J.R. Carey (UC Davis), two anonymous reviewers, Editor in Chief F.J.A. Jacobs provided very helpful and constructive comments that helped in revising the article. I am greatly thankful to all. ASRS Rao has no funding support to disclose that is related to this project.

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Correspondence to Arni S. R. Srinivasa Rao.

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Rao, A.S.R.S. A Partition Theorem for a Randomly Selected Large Population. Acta Biotheor 70, 6 (2022). https://doi.org/10.1007/s10441-021-09433-z

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