Mahalanobis
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Mahalanobis
Prasanta Chandra Mahalanobis OBE, FNA, FASc, FRS (29 June 1893– 28 June 1972) was an Indian scientist and statistician. He is best remembered for the Mahalanobis distance, a statistical measure, and for being one of the members of the first Planning Commission of free India. He made pioneering studies in anthropometry in India. He founded the Indian Statistical Institute, and contributed to the design of large-scale sample surveys. For his contributions, Mahalanobis has been considered the father of modern statistics in India. Early life Mahalanobis belonged to a family of Bengali landed gentry who lived in Bikrampur (now in Bangladesh). His grandfather Gurucharan (1833–1916) moved to Calcutta in 1854 and built up a business, starting a chemist shop in 1860. Gurucharan was influenced by Debendranath Tagore (1817–1905), father of the Nobel Prize-winning poet, Rabindranath Tagore. Gurucharan was actively involved in social movements such as the Brahmo Samaj, acting as i ...
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Mahalanobis Distance
The Mahalanobis distance is a measure of the distance between a point ''P'' and a distribution ''D'', introduced by P. C. Mahalanobis in 1936. Mahalanobis's definition was prompted by the problem of identifying the similarities of skulls based on measurements in 1927. It is a multi-dimensional generalization of the idea of measuring how many standard deviations away ''P'' is from the mean of ''D''. This distance is zero for ''P'' at the mean of ''D'' and grows as ''P'' moves away from the mean along each principal component axis. If each of these axes is re-scaled to have unit variance, then the Mahalanobis distance corresponds to standard Euclidean distance in the transformed space. The Mahalanobis distance is thus unitless, scale-invariant, and takes into account the correlations of the data set. Definition Given a probability distribution Q on \R^N, with mean \vec = (\mu_1, \mu_2, \mu_3, \dots , \mu_N)^\mathsf and positive-definite covariance matrix S, the Mahalanobis dis ...
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Indian Statistical Institute
Indian Statistical Institute (ISI) is a higher education and research institute which is recognized as an Institute of National Importance by the 1959 act of the Indian parliament. It grew out of the Statistical Laboratory set up by Prasanta Chandra Mahalanobis in Presidency College, Kolkata. Established in 1931, this unique institution of India is one of the oldest institutions focused on statistics, and its early reputation led it to being adopted as a model for the first US institute of statistics set up at the Research Triangle, North Carolina by Gertrude Mary Cox. Mahalanobis, the founder of ISI, was deeply influenced by the wisdom and guidance of Rabindranath Tagore and Brajendranath Seal. Under his leadership, the institute initiated and promoted the interaction of statistics with natural and social sciences to advance the role of statistics as a key technology by explicating the twin aspectsits general applicability and its dependence on other disciplines for its own d ...
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Feldman–Mahalanobis Model
The Feldman–Mahalanobis model is a Neo-Marxian model of economic development, created independently by Soviet economist Grigory Feldman in 1928 and Indian statistician Prasanta Chandra Mahalanobis in 1953. Mahalanobis became essentially the key economist of India's Second Five Year Plan, becoming subject to much of India's most dramatic economic debates. The essence of the model is a shift in the pattern of industrial investment towards building up a domestic consumption goods sector. Thus the strategy suggests in order to reach a high standard in consumption, investment in building a capacity in the production of capital goods is firstly needed. A high enough capacity in the capital goods sector expands in the long-run the nation's consumer-goods production capacity. This distinction between the two different types of goods was a clearer formulation of Marx’s ideas in ''Das Kapital'', and also helped people to better understand the extent of the trade off between the ...
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Samarendra Nath Roy
Samarendra Nath Roy (11 December 1906 – 23 July 1964) was an Indian-born American mathematician and an applied statistician. Early life Roy was the first of three children of Kali Nath Roy and Suniti Bala Roy. His father, was a freedom fighter and the Chief Editor of the newspaper The Tribune, then publishing from Lahore. During the Jallianwala Bagh massacre in April 1919, The Tribune published a news report titled "Prayer at the Jama Masjid", on 6 April 1919. For this "offence" Kali Nath Roy was sentenced to imprisonment of two years along with a fine of one thousand rupees. Roy secured first division in the Matriculation Examination in 1923 from the Khulna District School. He was the topper in the Intermediate Science (Higher Secondary) Examinations in 1925 from the Daulatpur Hindu Academy. He obtained first class and was the topper in both the BSc Mathematics (Honours) from Presidency College of the University of Calcutta in 1928 and the MSc in Mixed Mathematics - wh ...
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Presidency College, Kolkata
Presidency University, Kolkata (formerly known as Presidency College, Kolkata) is a second major public state aided research university located in College Street, Kolkata. Considered as one of best colleges when Presidency College was affiliated to University of Calcutta. Established in 1817, it is the oldest college in India (in Asia as well). It was formerly known as Hindu College and then Presidency College and now Presidency University. The institution was elevated to university status in 2010 after functioning as a top constituent college of the University of Calcutta for about 193 years. The university had its bicentenary celebrations in 2017. In its first cycle as a university, Presidency received A grade with a score of 3.04/4.00 by the NAAC. Presidency has been recognized as an "Institute of National Eminence" by the UGC. It appeared in the inaugural list of top 50 institutions of NIRF rankings in 2016. However, NIRF rankings in 2017 and 2018 excluded universiti ...
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Raj Chandra Bose
Raj Chandra Bose (19 June 1901 – 31 October 1987) was an Indian American mathematician and statistician best known for his work in design theory, finite geometry and the theory of error-correcting codes in which the class of BCH codes is partly named after him. He also invented the notions of partial geometry, association scheme, and strongly regular graph and started a systematic study of difference sets to construct symmetric block designs. He was notable for his work along with S. S. Shrikhande and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there do not exist two mutually orthogonal Latin squares of order 4''n'' + 2 for every ''n''. Early life Bose was born in Hoshangabad, India; he was the first of five children. His father was a physician and life was good until 1918 when his mother died in the influenza pandemic. His father died of a stroke the following year. Despite difficult circumstances, Bose con ...
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Calcutta
Kolkata (, or , ; also known as Calcutta , List of renamed places in India#West Bengal, the official name until 2001) is the Capital city, capital of the Indian States and union territories of India, state of West Bengal, on the eastern bank of the Hooghly River west of the border with Bangladesh. It is the primary business, commercial, and financial hub of East India, Eastern India and the main port of communication for North-East India. According to the 2011 Indian census, Kolkata is the List of cities in India by population, seventh-most populous city in India, with a population of 45 lakh (4.5 million) residents within the city limits, and a population of over 1.41 crore (14.1 million) residents in the Kolkata metropolitan area, Kolkata Metropolitan Area. It is the List of metropolitan areas in India, third-most populous metropolitan area in India. In 2021, the Kolkata metropolitan area crossed 1.5 crore (15 million) registered voters. The ...
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Indian National Science Academy
The Indian National Science Academy (INSA) is a national academy in New Delhi for Indian scientists in all branches of science and technology. In August 2019, Dr. Chandrima Shaha was appointed as the president of Indian National Science Academy, becoming the first woman to head the INSA (for 2020–22). In 2015 INSA has constituted a junior wing for young scientists in the country named Indian National Young Academy of Sciences (INYAS) in line with other national young academies. INYAS is the academy for young scientists in India as a national young academy and is affiliated with Global Young Academy. INYAS is also a signatory of the declaration on the Core Values of Young Academies, adopted at World Science Forum, Budapest on 20 November 2019 History The Genesis: Indian National Science Academy (INSA), New Delhi is an autonomous institution of Dept. Science & Technology, Govt. of India. However, the origins of INSA can be traced back to the founding of National Institute ...
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Weldon Memorial Prize
The Weldon Memorial Prize, also known as the Weldon Memorial Prize and Medal, is given yearly by the University of Oxford. The prize is to be awarded without regard to nationality or membership of any University to the person who, in the judgement of the electors, has, in the ten years next preceding the date of the award, published the most noteworthy contribution to the development of mathematical or statistical methods applied to problems in Biology. (Biology shall, for the purposes of this clause, be interpreted as including Zoology, Botany, Anthropology, Sociology, Psychology, and Medical Science.) It is named in honor of Walter Frank Raphael Weldon, former Linacre Professor of Zoology at the University. It was established through the efforts of Francis Galton and Karl Pearson. Although intended to be given yearly, it has in the past been given less often. Recipients * 1911 David Heron
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West Bengal
West Bengal (, Bengali: ''Poshchim Bongo'', , abbr. WB) is a state in the eastern portion of India. It is situated along the Bay of Bengal, along with a population of over 91 million inhabitants within an area of . West Bengal is the fourth-most populous and thirteenth-largest state by area in India, as well as the eighth-most populous country subdivision of the world. As a part of the Bengal region of the Indian subcontinent, it borders Bangladesh in the east, and Nepal and Bhutan in the north. It also borders the Indian states of Odisha, Jharkhand, Bihar, Sikkim and Assam. The state capital is Kolkata, the third-largest metropolis, and seventh largest city by population in India. West Bengal includes the Darjeeling Himalayan hill region, the Ganges delta, the Rarh region, the coastal Sundarbans and the Bay of Bengal. The state's main ethnic group are the Bengalis, with the Bengali Hindus forming the demographic majority. The area's early history featured a succession ...
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Rabindranath Tagore
Rabindranath Tagore (; bn, রবীন্দ্রনাথ ঠাকুর; 7 May 1861 – 7 August 1941) was a Bengali polymath who worked as a poet, writer, playwright, composer, philosopher, social reformer and painter. He reshaped Bengali literature and music as well as Indian art with Contextual Modernism in the late 19th and early 20th centuries. Author of the "profoundly sensitive, fresh and beautiful" poetry of ''Gitanjali'', he became in 1913 the first non-European and the first lyricist to win the Nobel Prize in Literature. Tagore's poetic songs were viewed as spiritual and mercurial; however, his "elegant prose and magical poetry" remain largely unknown outside Bengal. He was a fellow of the Royal Asiatic Society. Referred to as "the Bard of Bengal", Tagore was known by sobriquets: Gurudev, Kobiguru, Biswakobi. A Bengali Brahmin from Calcutta with ancestral gentry roots in Burdwan district* * * and Jessore, Tagore wrote poetry as an eight-yea ...
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Brahmo Samaj
Brahmo Samaj ( bn, ব্রহ্ম সমাজ, Brahmô Sômaj, ) is the societal component of Brahmoism, which began as a monotheistic reformist movement of the Hindu religion that appeared during the Bengal Renaissance. It was one of the most influential religious movements in India and made a significant contribution to the making of modern India. It was started at Calcutta on 20 August 1828 by Raja Ram Mohan Roy and Dwarkanath Tagore as reformation of the prevailing Brahmanism of the time (specifically Kulin practices) and began the Bengal Renaissance of the 19th century pioneering all religious, social and educational advance of the Hindu community in the 19th century. Its Trust Deed was made in 1830 formalising its inception and it was duly and publicly inaugurated in January 1830 by the consecration of the first house of prayer, now known as the Adi Brahmo Samaj. From the ''Brahmo Samaj'' springs Brahmoism, the most recent of legally recognised religions in India an ...
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