S N Roy (cricketer)
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S N Roy (cricketer)
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. Roy and The Tribune publisheseven allegedly seditious articles from April 3, 1919 through April 11, 1919 leading up to the April 13th massacre of the Indians at the hands of the British in the infamous Jallianwala Bagh massacre. 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 Presi ...
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Calcutta
Kolkata, also known as Calcutta (List of renamed places in India#West Bengal, its official name until 2001), is the capital and largest city of the Indian States and union territories of India, state of West Bengal. It lies on the eastern bank of the Hooghly River, west of the border with Bangladesh. It is the primary Financial centre, financial and Commercial area, commercial centre of Eastern India, eastern and Northeast India, northeastern India. Kolkata is the list of cities in India by population, seventh most populous city in India with an estimated city proper population of 4.5 million (0.45 crore) while its metropolitan region Kolkata Metropolitan Area is the List of million-plus agglomerations in India, third most populous metropolitan region of India with a metro population of over 15 million (1.5 crore). Kolkata is regarded by many sources as the cultural capital of India and a historically and culturally significant city in the historic Bengal, region of ...
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University Of Calcutta
The University of Calcutta, informally known as Calcutta University (), is a Public university, public State university (India), state university located in Kolkata, Calcutta (Kolkata), West Bengal, India. 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 university of Indian Subcontinent and Southeast Asian Region. Today, the university's jurisdiction is limited to a few districts of West Bengal, but at the time of its establishment it had a catchment area ranging from Kabul to Myanmar. It is accredited as an "A" grade university by the National Assessment and Accreditation Council (NAAC). The university has a total of fourteen campuses spread over the city of Kolkata and its suburbs. As of 2020, 151 colleges and 21 institutes and centres are affiliated with CU. The university was fourth in the Indian University Ranking 2021 list, released by the National Institu ...
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Institute Of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts of the world. Beginning in 2005, the institute started offering joint membership with the Bernoulli Society for Mathematical Statistics and Probability as well as with the International Statistical Institute. The Institute was founded in 1935 with Harry C. Carver and Henry L. Rietz as its two most important supporters. The institute publishes a variety of journals, and holds several international conference every year. Publications The Institute publishes five journals: *'' Annals of Statistics'' *'' Annals of Applied Statistics'' *'' Annals of Probability'' *'' Annals of Applied Probability'' *''Statistical Science'' In addition, it co-sponsors: * '' Electronic Communications in Probability'' * '' Electronic Journal of Probability'' ...
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Factor Analysis
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved variables called factors. For example, it is possible that variations in six observed variables mainly reflect the variations in two unobserved (underlying) variables. Factor analysis searches for such joint variations in response to unobserved latent variables. The observed variables are modelled as linear combinations of the potential factors plus "error" terms, hence factor analysis can be thought of as a special case of errors-in-variables models. Simply put, the factor loading of a variable quantifies the extent to which the variable is related to a given factor. A common rationale behind factor analytic methods is that the information gained about the interdependencies between observed variables can be used later to reduce the set of variables in a dataset. Factor analysis is commonly used in psychometrics, pers ...
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Components Analysis
Component may refer to: In engineering, science, and technology Generic systems *System components, an entity with discrete structure, such as an assembly or software module, within a system considered at a particular level of analysis *Lumped element model, a model of spatially distributed systems Electrical *Component video, a type of analog video information that is transmitted or stored as two or more separate signals *Electronic component, a constituent of an electronic circuit *Symmetrical components, in electrical engineering, analysis of unbalanced three-phase power systems Mathematics *Color model, a way of describing how colors can be represented, typically as multiple values or color components *Component (group theory), a quasi-simple subnormal sub-group *Connected component (graph theory), a maximal connected subgraph *Connected component (topology), a maximal connected subspace of a topological space *Vector component, result of the decomposition of a vector into va ...
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Variance
In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation (SD) is obtained as the square root of the variance. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. It is the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by \sigma^2, s^2, \operatorname(X), V(X), or \mathbb(X). An advantage of variance as a measure of dispersion is that it is more amenable to algebraic manipulation than other measures of dispersion such as the expected absolute deviation; for example, the variance of a sum of uncorrelated random variables is equal to the sum of their variances. A disadvantage of the variance for practical applications is that, unlike the standard deviation, its units differ from the random variable, which is why the standard devi ...
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Univariate
In mathematics, a univariate object is an expression (mathematics), expression, equation, function (mathematics), function or polynomial involving only one Variable (mathematics), variable. Objects involving more than one variable are ''wikt:multivariate, multivariate''. In some cases the distinction between the univariate and multivariate cases is fundamental; for example, the fundamental theorem of algebra and Euclid's algorithm for polynomials are fundamental properties of univariate polynomials that cannot be generalized to multivariate polynomials. In statistics, a univariate Frequency distribution, distribution characterizes one variable, although it can be applied in other ways as well. For example, univariate data are composed of a single scalar (mathematics), scalar component. In time series analysis, the whole time series is the "variable": a univariate time series is the series of values over time of a single quantity. Correspondingly, a "multivariate time series" charac ...
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Categorical Data
In statistics, a categorical variable (also called qualitative variable) is a variable (research), variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. In computer science and some branches of mathematics, categorical variables are referred to as enumerations or enumerated types. Commonly (though not in this article), each of the possible values of a categorical variable is referred to as a level. The probability distribution associated with a random variable, random categorical variable is called a categorical distribution. Categorical data is the statistical data type consisting of categorical variables or of data that has been converted into that form, for example as grouped data. More specifically, categorical data may derive from observations made of qualitative data that are summarised as counts or cros ...
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Quadratic Forms
In mathematics, a quadratic form is a polynomial with terms all of degree two (" form" is another name for a homogeneous polynomial). For example, 4x^2 + 2xy - 3y^2 is a quadratic form in the variables and . The coefficients usually belong to a fixed field , such as the real or complex numbers, and one speaks of a quadratic form ''over'' . Over the reals, a quadratic form is said to be '' definite'' if it takes the value zero only when all its variables are simultaneously zero; otherwise it is ''isotropic''. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal groups), differential geometry (the Riemannian metric, the second fundamental form), differential topology ( intersection forms of manifolds, especially four-manifolds), Lie theory (the Killing form), and statistics (where the exponent of a zero-mean multivariate normal distribution has the quadratic form -\mathbf^\mathsf\boldsy ...
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Multivariate Analysis
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e., '' multivariate random variables''. Multivariate statistics concerns understanding the different aims and background of each of the different forms of multivariate analysis, and how they relate to each other. The practical application of multivariate statistics to a particular problem may involve several types of univariate and multivariate analyses in order to understand the relationships between variables and their relevance to the problem being studied. In addition, multivariate statistics is concerned with multivariate probability distributions, in terms of both :*how these can be used to represent the distributions of observed data; :*how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain types of problems involving multivariate da ...
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Bani Roy
Bani may refer to: Places Burkina Faso * Bani Department, a department in Séno Province ** Bani, Bani, capital of the department * Bani, Bourzanga, Bam Province, a village * Bani, Gnagna, Gnagna Province, a village India * Bani, India, Jammu and Kashmir, a village and an assembly constituency *Bani, Chhatoh, a village in Uttar Pradesh * Bani, Rahi, a village in Uttar Pradesh Iran * Bani, Iran, a village in West Azerbaijan Province *Boniabad, South Khorasan, also known as Banī, a village in South Khorasan Province Elsewhere * Bani, Central African Republic, a village in Haute-Kotto Prefecture * Baní, a city in the Dominican Republic of historical importance * Bani, Gambia, a town * Bani River, a tributary of the Niger River in Mali * Bani, Mirpur, a village in Pakistan * Bani, Pangasinan, a municipality in the Philippines People * Bani (given name) * Bani (surname) * Askia Muhammad Bani (died 1588), ruler of the Songhai Empire from 1586 to 1588 * Bani Kumar, Indian ra ...
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Columbia University In New York
Columbia University in the City of New York, commonly referred to as Columbia University, is a private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhattan, it is the oldest institution of higher education in New York and the fifth- oldest in the United States. Columbia was established as a colonial college by royal charter under George II of Great Britain. It was renamed Columbia College in 1784 following the American Revolution, and in 1787 was placed under a private board of trustees headed by former students Alexander Hamilton and John Jay. In 1896, the campus was moved to its current location in Morningside Heights and renamed Columbia University. Columbia is organized into twenty schools, including four undergraduate schools and 16 graduate schools. The university's research efforts include the Lamont–Doherty Earth Observatory, the Goddard Institute for Space Studies, and accelerator l ...
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