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Patrick Alfred Pierce Moran FRS (14 July 1917 – 19 September 1988) was an Australian
statistician A statistician is a person who works with theoretical or applied statistics. The profession exists in both the private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may wor ...
who made significant contributions to
probability Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and ...
theory and its application to
population Population typically refers to the number of people in a single area, whether it be a city or town, region, country, continent, or the world. Governments typically quantify the size of the resident population within their jurisdiction using a ...
and
evolutionary genetics Population genetics is a subfield of genetics that deals with genetic differences within and between populations, and is a part of evolutionary biology. Studies in this branch of biology examine such phenomena as adaptation, speciation, and popu ...
.


Early years

Patrick Moran was born in
Sydney Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountain ...
and was the only child of Herbert Michael Moran (b. 1885 in Sydney, d. 1945 in Cambridge UK), a prominent surgeon and captain of the first
Wallabies A wallaby () is a small or middle-sized macropod native to Australia and New Guinea, with introduced populations in New Zealand, Hawaii, the United Kingdom and other countries. They belong to the same taxonomic family as kangaroos and so ...
, and Eva Mann (b. 1887 in Sydney, d. 1977 in Sydney). Patrick did have five other siblings, but they all died at or shortly after birth. He completed his high school studies in Bathurst, in three and a half years instead of the normal five-year course. At age 16, in 1934, he commenced study at the
University of Sydney The University of Sydney (USYD), also known as Sydney University, or informally Sydney Uni, is a public research university located in Sydney, Australia. Founded in 1850, it is the oldest university in Australia and is one of the country's si ...
where he studied chemistry, math and physics, graduating with first class honours in mathematics in 1937. Following graduation he went to study at
Cambridge University , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
from 1937 to 1939, his supervisors noted that he was not a good mathematician and the outbreak of World War II interrupted his studies. He graduated with an MA (by proxy) from
St John's College, Cambridge St John's College is a Colleges of the University of Cambridge, constituent college of the University of Cambridge founded by the House of Tudor, Tudor matriarch Lady Margaret Beaufort. In constitutional terms, the college is a charitable corpo ...
, on 22 January 1943 and continued his studies there from 1945 to 1946. He was admitted to Balliol College,
Oxford University Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
, on 3 December 1946. He was awarded an MA, from Oxford University, by incorporation in 1947.


Career

During the war Moran worked in rocket development in the Ministry of Supply and later at the External Ballistics Laboratory in Cambridge. In late 1943 he joined the Australian Scientific Liaison Office (ASLO), run by the
CSIRO The Commonwealth Scientific and Industrial Research Organisation (CSIRO) is an Australian Government The Australian Government, also known as the Commonwealth Government, is the national government of Australia, a federal parliamentar ...
. He worked on applied physics including vision, camouflage, army signals, quality control, road research, infra-red detection,
metrology Metrology is the scientific study of measurement. It establishes a common understanding of units, crucial in linking human activities. Modern metrology has its roots in the French Revolution's political motivation to standardise units in Fran ...
, UHF
radio propagation Radio propagation is the behavior of radio waves as they travel, or are propagated, from one point to another in vacuum, or into various parts of the atmosphere. As a form of electromagnetic radiation, like light waves, radio waves are affecte ...
, general radar, bomb-fragmentation, rockets,
ASDIC Sonar (sound navigation and ranging or sonic navigation and ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, measure distances (ranging), communicate with or detect objects on or ...
s and on operational research. He also wrote some papers on the
Hausdorff measure In mathematics, Hausdorff measure is a generalization of the traditional notions of area and volume to non-integer dimensions, specifically fractals and their Hausdorff dimensions. It is a type of outer measure, named for Felix Hausdorff, that ass ...
during the War. After the war, Moran returned to Cambridge where he was supervised by
Frank Smithies Frank Smithies FRSE (1912–2002) was a British mathematician who worked on integral equations, functional analysis, and the history of mathematics. He was elected as a fellow of the Royal Society of Edinburgh in 1961. He was an alumnus and an ...
and worked unsuccessfully on determining the nature of the set of points of divergence of
Fourier integral A Fourier transform (FT) is a mathematical transform that decomposes functions into frequency components, which are represented by the output of the transform as a function of frequency. Most commonly functions of time or space are transformed, ...
s of functions in the class ''L''''p'', when 1 < ''p'' < 2. He gave up on this project and was employed as a senior research officer at the Institute of Statistics at
Oxford University Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
. He also gave lecture courses. Patrick Moran was appointed university lecturer in mathematics in 1951, at Oxford, without stipend, for as long as he held the post of senior research officer in the Institute of Statistics. Moran freely admitted he had difficulty with simple arithmetic and wrote that, "Arithmetic I could not do". He married in 1946 after his appointment; he and his wife Jean Mavis Frame had three children, Louise, Michael and Hugh. At Oxford Moran wrote several papers on the nonlinear breeding cycle of the
Canadian lynx The Canada lynx (''Lynx canadensis''), or Canadian lynx, is a medium-sized North American lynx that ranges across Alaska, Canada, and northern areas of the contiguous United States. It is characterized by its long, dense fur, triangular ears w ...
. He was made a lecturer at Oxford in 1951 but left the university later that year for Australia. He never acquired a PhD, "a fact he would recall with some pride in later life" recalls Hall. On 1 January 1951, Moran was appointed foundation professor of statistics in the Research School of Social Sciences at the
Australian National University The Australian National University (ANU) is a public research university located in Canberra, the capital of Australia. Its main campus in Acton encompasses seven teaching and research colleges, in addition to several national academies and ...
in
Canberra Canberra ( ) is the capital city of Australia. Founded following the federation of the colonies of Australia as the seat of government for the new nation, it is Australia's largest inland city and the eighth-largest city overall. The ci ...
. He worked on the stochastic study of dam theory, and on population genetics, publishing his first paper "Random processes in genetics" in the ''Proceedings of the Cambridge Philosophical Society'' in 1958 and culminating in his 1962 book ''The Statistical Processes of Evolutionary Theory''. He also worked on geometric probability. In 1963, he was awarded the
Thomas Ranken Lyle Medal The Thomas Ranken Lyle Medal is awarded at most every two years by the Australian Academy of Science to a mathematician or physicist for his or her outstanding research accomplishments.
by the
Australian Academy of Science The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Soci ...
.Thomas Ranken Lyle Medal
,
Australian Academy of Science The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Soci ...
, retrieved 2010-06-06.
He retired from ANU at the end of 1982; he stayed on as Emeritus Professor and worked on statistical methods in particular epidemiological methods and their application to psychiatry. He was awarded an honorary ScD degree from Cambridge, on 29 October 1963, and a DSc from Sydney. He was made a Fellow of the Royal Society in 1975. Moran died after a stroke in 1988. The P.A.P Moran Building (Building 26B) at A.N.U. was named in his honour. It houses offices of the Mathematical Sciences Institute, tutorial rooms and the Research School of Economics. The Moran Medal, created in his honour, is awarded by the
Australian Academy of Science The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Soci ...
every two years for distinguished work in statistics by an Australian statistician.


See also

*
Moran's I In statistics, Moran's ''I'' is a measure of spatial autocorrelation developed by Patrick Alfred Pierce Moran. Spatial autocorrelation is characterized by a correlation in a signal among nearby locations in space. Spatial autocorrelation is more c ...
*
Moran process A Moran process or Moran model is a simple stochastic process used in biology to describe finite populations. The process is named after Patrick Moran, who first proposed the model in 1958. It can be used to model variety-increasing processes such ...
* Moran's theorem


Publications

In addition to over 170 papers, Moran wrote 4 books, *''The Theory of Storage'' (1959; translated into Russian, 1963; Czech, 1967) *''The Statistical Processes of Evolutionary Theory'' (1962; translated into Russian, 1973) *(With
M.G. Kendall Sir Maurice George Kendall, FBA (6 September 1907 – 29 March 1983) was a prominent British statistician. The Kendall tau rank correlation is named after him. Education and early life Maurice Kendall was born in Kettering, Northampton ...
) ''Geometrical Probability'' (1963; translated into Russian, 1972) *''An Introduction to Probability Theory'' (1967)


References


External links

* * * For Moran's PhD students see: * Moran sent his first paper to
R. A. Fisher Sir Ronald Aylmer Fisher (17 February 1890 – 29 July 1962) was a British polymath who was active as a mathematician, statistician, biologist, geneticist, and academic. For his work in statistics, he has been described as "a genius who ...

Correspondence of Sir R.A. Fisher: Calendar of Correspondence with P.A.P. Moran
Manuscript collection, Basser Library, Australian Academy of Science

Basser Library, Australian Academy of Science * {{DEFAULTSORT:Moran, Pat 1917 births 1988 deaths Australian statisticians Alumni of St John's College, Cambridge Fellows of the Australian Academy of Science Fellows of the Royal Society Scientists from Sydney Probability theorists 20th-century Australian mathematicians Spatial statisticians Biostatisticians