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Debabrata Basu
Debabrata Basu (5 July 1924 – 24 March 2001) was an Indian statistician who made fundamental contributions to the foundations of statistics. Basu invented simple examples that displayed some difficulties of likelihood-based statistics and frequentist statistics; Basu's paradoxes were especially important in the development of survey sampling. In statistical theory, Basu's theorem established the independence of a complete sufficient statistic and an ancillary statistic. Page i in Basu was associated with the Indian Statistical Institute in India, and Florida State University in the United States.Page i in "Preface" to IMS festschrift. Biography Debabrata Basu was born in Dacca, Bengal, unpartitioned India, now Dhaka, Bangladesh. His father, N. M. Basu, was a mathematician specialising in number theory. Young Basu studied mathematics at Dacca University. He took a course in statistics as part of the under-graduate honours programme in Mathematics but his ambition wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dacca
Dhaka ( or ; bn, ঢাকা, Ḍhākā, ), formerly known as Dacca, is the capital and largest city of Bangladesh, as well as the world's largest Bengali-speaking city. It is the eighth largest and sixth most densely populated city in the world with a population of 8.9 million residents as of 2011, and a population of over 21.7 million residents in the Greater Dhaka Area. According to a Demographia survey, Dhaka has the most densely populated built-up urban area in the world, and is popularly described as such in the news media. Dhaka is one of the major cities of South Asia and a major global Muslim-majority city. Dhaka ranks 39th in the world and 3rd in South Asia in terms of urban GDP. As part of the Bengal delta, the city is bounded by the Buriganga River, Turag River, Dhaleshwari River and Shitalakshya River. The area of Dhaka has been inhabited since the first millennium. An early modern city developed from the 17th century as a provincial capital and c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bengal
Bengal ( ; bn, বাংলা/বঙ্গ, translit=Bānglā/Bôngô, ) is a geopolitical, cultural and historical region in South Asia, specifically in the eastern part of the Indian subcontinent at the apex of the Bay of Bengal, predominantly covering present-day Bangladesh and the Indian state of West Bengal. Geographically, it consists of the Ganges-Brahmaputra delta system, the largest river delta in the world and a section of the Himalayas up to Nepal and Bhutan. Dense woodlands, including hilly rainforests, cover Bengal's northern and eastern areas, while an elevated forested plateau covers its central area; the highest point is at Sandakphu. In the littoral southwest are the Sundarbans, the world's largest mangrove forest. The region has a monsoon climate, which the Bengali calendar divides into six seasons. Bengal, then known as Gangaridai, was a leading power in ancient South Asia, with extensive trade networks forming connections to as far away as Roman Egypt. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant university and the founding campus of the University of California system. Its fourteen colleges and schools offer over 350 degree programs and enroll some 31,800 undergraduate and 13,200 graduate students. Berkeley ranks among the world's top universities. A founding member of the Association of American Universities, Berkeley hosts many leading research institutes dedicated to science, engineering, and mathematics. The university founded and maintains close relationships with three national laboratories at Berkeley, Livermore and Los Alamos, and has played a prominent role in many scientific advances, from the Manhattan Project and the discovery of 16 chemical elements to breakthroughs in computer science and genomics. Berkeley is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fulbright Scholar
The Fulbright Program, including the Fulbright–Hays Program, is one of several United States Cultural Exchange Programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the people of the United States and other countries, through the exchange of persons, knowledge, and skills. Via the program, competitively-selected American citizens including students, scholars, teachers, professionals, scientists, and artists may receive scholarships or grants to study, conduct research, teach, or exercise their talents abroad; and citizens of other countries may qualify to do the same in the United States. The program was founded by United States Senator J. William Fulbright in 1946 and is considered to be one of the most widely recognized and prestigious scholarships in the world. The program provides approximately 8,000 grants annually – roughly 1,600 to U.S. students, 1,200 to U.S. scholars, 4,000 to foreign students, 900 to f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Calcutta
The University of Calcutta (informally known as Calcutta University; CU) is a Public university, public collegiate university, collegiate State university (India), state university in India, located in Kolkata, West Bengal, India. Considered one of best university, state research university all over India every year, CU has topped among India's best universities several times. It has 151 affiliated undergraduate colleges and 16 institutes in Kolkata and nearby areas. It was established on 24 January 1857 and is the oldest multidisciplinary and European-style institution in Asia. Today, the university's jurisdiction is limited to a few districts of West Bengal, but at the time of establishment it had a catchment area, ranging from Lahore to Myanmar. Within India, it is recognized as a "Five-Star University" and accredited an "A+" grade by the National Assessment and Accreditation Council (NAAC). The University of Calcutta was awarded the status of "Centre with Potential for Exce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Florida
The University of Florida (Florida or UF) is a public land-grant research university in Gainesville, Florida. It is a senior member of the State University System of Florida, traces its origins to 1853, and has operated continuously on its Gainesville campus since September 1906. After the Florida state legislature's creation of performance standards in 2013, the Florida Board of Governors designated the University of Florida as a "preeminent university". For 2022, '' U.S. News & World Report'' ranked Florida as the fifth (tied) best public university and 28th (tied) best university in the United States. The University of Florida is the only member of the Association of American Universities in Florida and is classified among "R1: Doctoral Universities – Very high research activity". The university is accredited by the Southern Association of Colleges and Schools (SACS). It is the third largest Florida university by student population,Nathan Crabbe, UF is no longer la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probability ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Measure Theory
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures ( length, area, volume) and other common notions, such as mass and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general. The intuition behind this concept dates back to ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Const ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Admissible Decision Rule
In statistical decision theory, an admissible decision rule is a rule for making a decision such that there is no other rule that is always "better" than it (or at least sometimes better and never worse), in the precise sense of "better" defined below. This concept is analogous to Pareto efficiency. Definition Define sets \Theta\,, \mathcal and \mathcal, where \Theta\, are the states of nature, \mathcal the possible observations, and \mathcal the actions that may be taken. An observation x \in \mathcal\,\! is distributed as F(x\mid\theta)\,\! and therefore provides evidence about the state of nature \theta\in\Theta\,\!. A decision rule is a function \delta:\rightarrow , where upon observing x\in \mathcal, we choose to take action \delta(x)\in \mathcal\,\!. Also define a loss function L: \Theta \times \mathcal \rightarrow \mathbb, which specifies the loss we would incur by taking action a \in \mathcal when the true state of nature is \theta \in \Theta. Usually we will take thi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayesian Statistics
Bayesian statistics is a theory in the field of statistics based on the Bayesian interpretation of probability where probability expresses a ''degree of belief'' in an event. The degree of belief may be based on prior knowledge about the event, such as the results of previous experiments, or on personal beliefs about the event. This differs from a number of other interpretations of probability, such as the frequentist interpretation that views probability as the limit of the relative frequency of an event after many trials. Bayesian statistical methods use Bayes' theorem to compute and update probabilities after obtaining new data. Bayes' theorem describes the conditional probability of an event based on data as well as prior information or beliefs about the event or conditions related to the event. For example, in Bayesian inference, Bayes' theorem can be used to estimate the parameters of a probability distribution or statistical model. Since Bayesian statistics treats probabi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Statistical Institute
The International Statistical Institute (ISI) is a professional association of statisticians. It was founded in 1885, although there had been international statistical congresses since 1853. The institute has about 4,000 elected members from government, academia, and the private sector. The affiliated Associations have membership open to any professional statistician. The institute publishes a variety of books and journals, and holds an international conference every two years. The biennial convention was commonly known as the ISI Session; however, since 2011, it is now referred to as the ISI World Statistics Congress. The permanent office of the institute is located in the Statistics Netherlands building in Leidschenveen (The Hague), in the Netherlands. Specialized Associations ISI serves as an umbrella for seven specialized Associations: * Bernoulli Society for Mathematical Statistics and Probability (BS) *International Association for Statistical Computing (IASC) *Internatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abraham Wald
Abraham Wald (; hu, Wald Ábrahám, yi, אברהם וואַלד; – ) was a Jewish Hungarian mathematician who contributed to decision theory, geometry, and econometrics and founded the field of statistical sequential analysis. One of his well-known statistical works was written during World War II on how to minimize the damage to bomber aircraft and took into account the survivorship bias in his calculations. He spent his research career at Columbia University. Life and career Wald was born on 31 October 1902 in Kolozsvár, Transylvania, in the Kingdom of Hungary. A religious Jew, he did not attend school on Saturdays, as was then required by the Hungarian school system, and so he was thus homeschooled by his parents until college. His parents were quite knowledgeable and competent as teachers. In 1928, he graduated in mathematics from the King Ferdinand I University. In 1927, he entered graduate school at the University of Vienna, from which he graduated in 1931 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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