Alexander Craig "Alec" Aitken (1 April 1895 – 3 November 1967) was one of New Zealand's most eminent mathematicians. In a 1935 paper he introduced the concept of

generalized least squares In statistics, generalized least squares (GLS) is a method used to estimate the unknown parameters in a Linear regression, linear regression model. It is used when there is a non-zero amount of correlation between the Residual (statistics), resi ...

, along with now standard vector/matrix notation for the

linear regression model In statistics, linear regression is a model that estimates the relationship between a scalar response (dependent variable) and one or more explanatory variables (regressor or independent variable). A model with exactly one explanatory variable ...

. Another influential paper co-authored with his student Harold Silverstone established the lower bound on the variance of an

estimator In statistics, an estimator is a rule for calculating an estimate of a given quantity based on Sample (statistics), observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguish ...

, now known as

Cramér–Rao bound In estimation theory and statistics, the Cramér–Rao bound (CRB) relates to estimation of a deterministic (fixed, though unknown) parameter. The result is named in honor of Harald Cramér and Calyampudi Radhakrishna Rao, but has also been d ...

. He was elected to the

Royal Society of Literature The Royal Society of Literature (RSL) is a learned society founded in 1820 by King George IV to "reward literary merit and excite literary talent". A charity that represents the voice of literature in the UK, the RSL has about 800 Fellows, elect ...

for his

World War I World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...

memoir, ''Gallipoli to the Somme''.

Life and work

Aitken was born on 1 April 1895 in

Dunedin Dunedin ( ; ) is the second-most populous city in the South Island of New Zealand (after Christchurch), and the principal city of the Otago region. Its name comes from ("fort of Edin"), the Scottish Gaelic name for Edinburgh, the capital of S ...

, the eldest of the seven children of Elizabeth Towers and William Aitken. He was of Scottish descent, his grandfather having emigrated from

Lanarkshire Lanarkshire, also called the County of Lanark (; ), is a Counties of Scotland, historic county, Lieutenancy areas of Scotland, lieutenancy area and registration county in the Central Lowlands and Southern Uplands of Scotland. The county is no l ...

in 1868. His mother was from

Wolverhampton Wolverhampton ( ) is a city and metropolitan borough in the West Midlands (county), West Midlands of England. Located around 12 miles (20 km) north of Birmingham, it forms the northwestern part of the West Midlands conurbation, with the towns of ...

. He was educated at

Otago Boys' High School Otago Boys' High School (OBHS) is a secondary school in Dunedin, New Zealand. It is one of New Zealand's oldest boys' secondary schools. Originally known as Dunedin High School, it was founded on 3 August 1863 and moved to its present site in 18 ...

in Dunedin (1908–13) where he was school

dux ''Dux'' (, : ''ducēs'') is Latin for "leader" (from the noun ''dux, ducis'', "leader, general") and later for duke and its variant forms (doge, duce, etc.). During the Roman Republic and for the first centuries of the Roman Empire, ''dux'' coul ...

and won the Thomas Baker Calculus Scholarship in his last year at school. He saw active service during

enlisting in April 1915 with the

New Zealand Expeditionary Force The New Zealand Expeditionary Force (NZEF) was the title of the military forces sent from New Zealand to fight alongside other British Empire and Dominion troops during World War I (1914–1918) and World War II (1939–1945). Ultimately, the NZE ...

, and serving in

Gallipoli The Gallipoli Peninsula (; ; ) is located in the southern part of East Thrace, the European part of Turkey, with the Aegean Sea to the west and the Dardanelles strait to the east. Gallipoli is the Italian form of the Greek name (), meaning ' ...

from November 1915, in Egypt, and at the Western Front. He was seriously wounded at the

Somme __NOTOC__ Somme or The Somme may refer to: Places *Somme (department), a department of France * Somme, Queensland, Australia * Canal de la Somme, a canal in France *Somme (river), a river in France Arts, entertainment, and media * ''Somme'' (book), ...

. He spent several months in hospital in Chelsea before being invalided out of the army and shipped home to New Zealand in March 1917. Resuming his studies Aitken graduated with an MA degree from the

University of Otago The University of Otago () is a public university, public research university, research collegiate university based in Dunedin, Otago, New Zealand. Founded in 1869, Otago is New Zealand's oldest university and one of the oldest universities in ...

in 1920, then worked as a schoolmaster at Otago Boys' High School from 1920 to 1923. Aitken studied for a doctorate (

PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...

) at the

University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...

, in Scotland, under Edmund Taylor Whittaker where his dissertation, "Smoothing of Data", was considered so impressive that he was awarded a

DSc DSC or Dsc may refer to: Education * Doctor of Science (D.Sc.) * District Selection Committee, an entrance exam in India * Doctor of Surgical Chiropody, superseded in the 1960s by Doctor of Podiatric Medicine Educational institutions * Dyal Sin ...

degree in 1925. Aitken's impact at the university had been so great that he had been elected a

Fellow of the Royal Society of Edinburgh Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and Literature, letters, judged to be "eminently distinguished in their subject". ...

(FRSE) the year before the award of his degree, upon the proposal of Sir Edmund Whittaker, Sir Charles Galton Darwin, Edward Copson and David Gibb. In 1927, Aitken published what became known as Aitken delta-squared process as part of an extension to

Bernoulli's method In numerical analysis, Bernoulli's method, named after Daniel Bernoulli, is a root-finding algorithm which calculates the polynomial, root of largest absolute value of a univariate polynomial. The method works under the condition that there is ...

. Aitken was awarded the Makdougall-Brisbane Prize for 1930–32, and was active in the affairs of the RSE, serving as Councillor (1934–36), Secretary to Ordinary Meetings (1936–40), and vice-president (1948–51; 1956–59). He was also an active member of the

Edinburgh Mathematical Society The Edinburgh Mathematical Society is a mathematical society for academics in Scotland. History The Society was founded in 1883 by a group of Edinburgh school teachers and academics, on the initiative of Alexander Yule Fraser FRSE and Andrew ...

and a Fellow of the

Faculty of Actuaries The Faculty of Actuaries in Scotland was the professional body representing actuaries in Scotland. The Faculty of Actuaries was one of two actuarial bodies in the UK, the other was the Institute of Actuaries, which was a separate body in England, ...

. Aitken spent his entire career at the University of Edinburgh, working as lecturer in Actuarial Mathematics & Statistics (1925–36), Reader in Statistics (1936–46), and finally Professor of Mathematics (1946–65). During

World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...

he worked in

Hut 6 Hut 6 was a wartime section of the Government Code and Cypher School at Bletchley Park, Buckinghamshire, Britain, tasked with the solution of German Army and Air Force Enigma machine cyphers. Hut 8, by contrast, attacked Naval Enigma. Hut 6 w ...

Bletchley Park Bletchley Park is an English country house and Bletchley Park estate, estate in Bletchley, Milton Keynes (Buckinghamshire), that became the principal centre of Allies of World War II, Allied World War II cryptography, code-breaking during the S ...

decrypting ENIGMA code. Aitken was one of the best

mental calculator Mental calculation (also known as Mind, mental computation) consists of arithmetical calculations made by the mind, within the human brain, brain, with no help from any supplies (such as pencil and paper) or devices such as a calculator. People m ...

s known, and had a prodigious memory. This ability was researched by the psychologist Ian M.L. Hunter. He knew the first 1000 digits of

\pi

, the 96 recurring digits of 1/97, and memorised the ''

Aeneid The ''Aeneid'' ( ; or ) is a Latin Epic poetry, epic poem that tells the legendary story of Aeneas, a Troy, Trojan who fled the Trojan War#Sack of Troy, fall of Troy and travelled to Italy, where he became the ancestor of the Ancient Rome ...

'' in high school. However, his inability to forget the horrors he witnessed in

led to recurrent depression throughout his life. Aitken was elected a

Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...

(FRS) in 1936 and an Honorary Fellow of the Royal Society of New Zealand (Hon FRSNZ) in 1940, both for his work in statistics,

algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...

and

numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...

. He was an accomplished writer, being elected a

Fellow of the Royal Society of Literature The Royal Society of Literature (RSL) is a learned society founded in 1820 by George IV of the United Kingdom, King George IV to "reward literary merit and excite literary talent". A charity that represents the voice of literature in the UK, the ...

(FRSL) in 1964 in response to the publication of his war memoirs, ''Gallipoli to the Somme''. His book was the basis of an

oratorio An oratorio () is a musical composition with dramatic or narrative text for choir, soloists and orchestra or other ensemble. Similar to opera, an oratorio includes the use of a choir, soloists, an instrumental ensemble, various distinguisha ...

of the same name by the New Zealand composer

Anthony Ritchie Anthony Damian Ritchie (born 18 September 1960) is a New Zealand composer and academic. He has been a freelance composer accepting commissions for works and in 2018 he became professor of composition at The University of Otago after 18 years o ...

. He was also an excellent musician, being described by

Eric Fenby Eric William Fenby OBE (22 April 190618 February 1997) was an English composer, conductor, pianist, organist and teacher who is best known for being Frederick Delius's amanuensis from 1928 to 1934. He helped Delius realise a number of works t ...

as the most accomplished amateur musician he had ever known, and was a champion athlete in his younger days.

Awards and honours

The New Zealand Mathematical Society and

London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh ...

Aitken Lectureship occurs every two years (in odd-numbered years) when a mathematician from New Zealand is invited by both Societies to give lectures at different universities around the UK over a period of several weeks. An annual "Aitken Prize" is awarded by the New Zealand Mathematical Society for the best student talk at their colloquium. The prize was inaugurated in 1995 at the

's Aitken Centenary Conference, a joint mathematics and statistics conference held to remember Aitken 100 years after his birth.

Personal life

He married Winifred Betts, a lecturer in biology and the first female lecturer appointed to the University of Otago, in 1920. They had a daughter and a son. Aitken died on 3 November 1967, in

Edinburgh Edinburgh is the capital city of Scotland and one of its 32 Council areas of Scotland, council areas. The city is located in southeast Scotland and is bounded to the north by the Firth of Forth and to the south by the Pentland Hills. Edinburgh ...

Life and work

Awards and honours

Personal life

References

Further reading