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Kenneth Levenberg
Kenneth Levenberg (August 6, 1919 – September 1973) was an American statistician and original author of the widely used nonlinear least squares fitting algorithm later improved by Donald Marquardt, known as the Levenberg–Marquardt algorithm. Levenberg first published the algorithm in 1944 while working at the Frankford Arsenal. He later worked for Boeing where he developed mathematical models used to design the Boeing 737. He ended his career in the mathematics department at the University of Hawaii, Hilo and died in Hawaii in 1973. Levenberg was listed in American Men of Science ''American Men and Women of Science'' (the 40th edition was published in 2022) is a biographical reference work on leading scientists in the United States and Canada, published as a series of books and online by Gale. The first edition was publish ... in 1970. References American statisticians 1919 births 1973 deaths Place of birth missing University of Hawaiʻi faculty {{Statisticia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 work as employees or as statistical consultants. Nature of the work According to the United States Bureau of Labor Statistics, as of 2014, 26,970 jobs were classified as ''statistician'' in the United States. Of these people, approximately 30 percent worked for governments (federal, state, or local). As of October 2021, the median pay for statisticians in the United States was $92,270. Additionally, there is a substantial number of people who use statistics and data analysis in their work but have job titles other than ''statistician'', such as actuaries, applied mathematicians, economists, data scientists, data analysts (predictive analytics), financial analysts, psychometricians, sociologists, epidemiologists, and quantitative psycholo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear Least Squares
Non-linear least squares is the form of least squares analysis used to fit a set of ''m'' observations with a model that is non-linear in ''n'' unknown parameters (''m'' ≥ ''n''). It is used in some forms of nonlinear regression. The basis of the method is to approximate the model by a linear one and to refine the parameters by successive iterations. There are many similarities to linear least squares, but also some significant differences. In economic theory, the non-linear least squares method is applied in (i) the probit regression, (ii) threshold regression, (iii) smooth regression, (iv) logistic link regression, (v) Box-Cox transformed regressors (m(x,\theta_i) = \theta_1 + \theta_2 x^). Theory Consider a set of m data points, (x_1, y_1), (x_2, y_2), \dots, (x_m, y_m), and a curve (model function) \hat = f(x, \boldsymbol \beta), that in addition to the variable x also depends on n parameters, \boldsymbol \beta = (\beta_1, \beta_2, \dots, \beta_n), with m\ge n. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Donald Marquardt
Donald W. Marquardt (March 13, 1929, New York City – July 5, 1997, New Castle, Delaware) was an American statistician, the rediscoverer of the Levenberg–Marquardt nonlinear least squares fitting algorithm.Paul Davis (1993)Levenberg–Marquart Methods and Nonlinear Estimation, ''SIAM News'', Vol. 26, Number 6, October 1993. Marquardt was educated at Columbia University with bachelor's degree in 1950 in physics and mathematics and at the University of Delaware with master's degree in 1956 in mathematics and statistics. Marquardt joined DuPont in 1953 and worked there for 39 years. He also founded and managed the DuPont Quality Management & Technology Center. In 1963 he published his famous paper "algorithm for least-squares estimation of nonlinear problems" in SIAM journal. Marquardt developed his algorithm to solve fitting nonlinear chemical models to laboratory data. In 1975 he was elected as a Fellow of the American Statistical Association. As manager of the DuPont Applied S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Levenberg–Marquardt Algorithm
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve non-linear least squares problems. These minimization problems arise especially in least squares curve fitting. The LMA interpolates between the Gauss–Newton algorithm (GNA) and the method of gradient descent. The LMA is more robust than the GNA, which means that in many cases it finds a solution even if it starts very far off the final minimum. For well-behaved functions and reasonable starting parameters, the LMA tends to be slower than the GNA. LMA can also be viewed as Gauss–Newton using a trust region approach. The algorithm was first published in 1944 by Kenneth Levenberg, while working at the Frankford Army Arsenal. It was rediscovered in 1963 by Donald Marquardt, who worked as a statistician at DuPont, and independently by Girard, Wynne and Morrison. The LMA is used in many software applications for solvin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frankford Arsenal
The Frankford Arsenal is a former United States Army ammunition plant located adjacent to the Bridesburg neighborhood of Northeast Philadelphia, Pennsylvania, north of the original course of Frankford Creek. History Opened in 1816 on of land purchased by President James Madison, it was the center of U.S. military small-arms ammunition design and development until its closure in 1977. Among the many other products manufactured at the arsenal were fire-control and range-finding instruments, and gauges for these components. With the outbreak of the Civil War, the arsenal's commander, Josiah Gorgas, resigned and joined the Confederate States Army in deference to the wishes of his Alabama-born wife and reported to the Confederate capital in Richmond with a large supply of U.S. Army guns and ammunition. By the end of the war, the arsenal employed over 1,000 workers. It served as a major site for the storage of weapons and artillery pieces; a depot for the repair of artillery, c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boeing
The Boeing Company () is an American multinational corporation that designs, manufactures, and sells airplanes, rotorcraft, rockets, satellites, telecommunications equipment, and missiles worldwide. The company also provides leasing and product support services. Boeing is among the largest global aerospace manufacturers; it is the third-largest defense contractor in the world based on 2020 revenue, and is the largest exporter in the United States by dollar value. Boeing stock is included in the Dow Jones Industrial Average. Boeing is incorporated in Delaware. Boeing was founded by William Boeing in Seattle, Washington, on July 15, 1916. The present corporation is the result of the merger of Boeing with McDonnell Douglas on August 1, 1997. Then chairman and CEO of Boeing, Philip M. Condit, assumed those roles in the combined company, while Harry Stonecipher, former CEO of McDonnell Douglas, became president and COO. The Boeing Company's corporate headquarters is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boeing 737
The Boeing 737 is a narrow-body aircraft produced by Boeing at its Renton Factory in Washington. Developed to supplement the Boeing 727 on short and thin routes, the twinjet retains the 707 fuselage width and six abreast seating with two underwing turbofans. Envisioned in 1964, the initial 737-100 made its first flight in April 1967 and entered service in February 1968 with Lufthansa. The lengthened 737-200 entered service in April 1968, and evolved through four generations, offering several variants for 85 to 215 passengers. The 737-100/200 original variants were powered by Pratt & Whitney JT8D low-bypass engines and offered seating for 85 to 130 passengers. Launched in 1980 and introduced in 1984, the 737 Classic -300/400/500 variants were upgraded with CFM56-3 turbofans and offered 110 to 168 seats. Introduced in 1997, the 737 Next Generation (NG) -600/700/800/900 variants have updated CFM56-7s, a larger wing and an upgraded glass cockpit, and seat 108 to 215 pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Hawaii, Hilo
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". Universities typically offer both undergraduate education, undergraduate and postgraduate education, postgraduate programs. The first universities in Europe were established by Catholic Church monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word ''universitas'' (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, can ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Men And Women Of Science
''American Men and Women of Science'' (the 40th edition was published in 2022) is a biographical reference work on leading scientists in the United States and Canada, published as a series of books and online by Gale. The first edition was published in 1906, named ''American Men of Science''; the work broadened its title to include women in 1971. (However, women were listed in it before that. Two women, Grace Andrews and Charlotte Angas Scott, were listed in the first edition of ''American Men of Science'' in 1906.) ''American Men and Women of Science'' profiles living persons in the physical and biological fields, as well as public health scientists, engineers, mathematicians, statisticians, and computer scientists. According to the publisher, those included met the following criteria: (1) Distinguished achievement, by reason of experience, training or accomplishment, including contributions to literature, coupled with continuing activity in scientific work; or (2) Research act ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Statisticians
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the " United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1919 Births
Events January * January 1 ** The Czechoslovak Legions occupy much of the self-proclaimed "free city" of Pressburg (now Bratislava), enforcing its incorporation into the new republic of Czechoslovakia. ** HMY ''Iolaire'' sinks off the coast of the Hebrides; 201 people, mostly servicemen returning home to Lewis and Harris, are killed. * January 2– 22 – Russian Civil War: The Red Army's Caspian-Caucasian Front begins the Northern Caucasus Operation against the White Army, but fails to make progress. * January 3 – The Faisal–Weizmann Agreement is signed by Emir Faisal (representing the Arab Kingdom of Hejaz) and Zionist leader Chaim Weizmann, for Arab–Jewish cooperation in the development of a Jewish homeland in Palestine, and an Arab nation in a large part of the Middle East. * January 5 – In Germany: ** Spartacist uprising in Berlin: The Marxist Spartacus League, with the newly formed Communist Party of Germany and the Independent Social D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1973 Deaths
Events January * January 1 - The United Kingdom, the Republic of Ireland and Denmark enter the European Economic Community, which later becomes the European Union. * January 15 – Vietnam War: Citing progress in peace negotiations, U.S. President Richard Nixon announces the suspension of offensive action in North Vietnam. * January 17 – Ferdinand Marcos becomes President for Life of the Philippines. * January 20 – Richard Nixon is sworn in for a second term as President of the United States. Nixon is the only person to have been sworn in twice as President ( 1969, 1973) and Vice President of the United States ( 1953, 1957). * January 22 ** George Foreman defeats Joe Frazier to win the heavyweight world boxing championship. ** A Royal Jordanian Boeing 707 flight from Jeddah crashes in Kano, Nigeria; 176 people are killed. * January 27 – U.S. involvement in the Vietnam War ends with the signing of the Paris Peace Accords. February * February 8 – A milit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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