Back الكسندر إيتكن Arabic الكسندر ايتكن ARZ الکساندر ایتکن AZB Alec Aitken Catalan Alexander Aitken German Alexander Aitken Spanish Alexander Aitken Basque الکساندر ایتکن Persian Alexander Aitken French Alexander Aitken HT
Alexander C. Aitken | |
|---|---|
 | |
| Born | 1 April 1895 |
| Died | 3 November 1967 (aged 72) |
| Nationality | New Zealander |
| Alma mater | University of Edinburgh University of Otago |
| Known for | Aitken's array Aitken's delta-squared process Aitken interpolation |
| Spouse | Winifred Betts |
| Awards | Fellow of the Royal Society[1] |
| Scientific career | |
| Fields | Mathematics Statistics |
| Institutions | University of Edinburgh |
| Thesis | Smoothing of Data |
| Doctoral advisor | E. T. Whittaker[2] |
| Doctoral students | Hans Schneider[2] Alexander Fairley Buchan[2] Nora Calderwood[2] Henry Daniels[2] Harold Silverstone[2] Donald Livingstone[2] |
Alexander Craig "Alec" Aitken FRS FRSE FRSL FRSNZ (1 April 1895 – 3 November 1967) was one of New Zealand's most eminent mathematicians.[3][4] In a 1935 paper he introduced the concept of generalized least squares, along with now standard vector/matrix notation for the linear regression model.[5] Another influential paper co-authored with his student Harold Silverstone established the lower bound on the variance of an estimator,[6] now known as Cramér–Rao bound.[7] He was elected to the Royal Society of Literature for his World War I memoir, Gallipoli to the Somme.[8]
- ^ Whittaker, J. M.; Bartlett, M. S. (1968). "Alexander Craig Aitken 1895-1967". Biographical Memoirs of Fellows of the Royal Society. 14: 1–14. doi:10.1098/rsbm.1968.0001.
- ^ a b c d e f g Alexander Aitken at the Mathematics Genealogy Project
- ^ "Alexander Aitken THE HUMAN COMPUTER". NZ Edge. Archived from the original on 3 February 2009. Retrieved 7 December 2005.
- ^ O'Connor, John J.; Robertson, Edmund F., "Alexander Aitken", MacTutor History of Mathematics Archive, University of St Andrews
- ^ Aitken, A. C. (1935). "On Least Squares and Linear Combinations of Observations". Proceedings of the Royal Society of Edinburgh. 55: 42–48. doi:10.1017/s0370164600014346.
- ^ Aitken, A. C.; Silverstone, H. (1942). "On the Estimation of Statistical Parameters". Proceedings of the Royal Society of Edinburgh. 61 (2): 186–194. doi:10.1017/s008045410000618x. S2CID 124029876.
- ^ Shenton, L. R. (1970). "The so-called Cramer–Rao inequality". The American Statistician. 24 (2): 36. JSTOR 2681931.
- ^ "Review: Gallipoli to the Somme: Recollections of a New Zealand Infantryman by Alexander Aitken". Stuff. 21 April 2018. Retrieved 1 May 2019.