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Lee–Carter Model
The Lee–Carter model is a numerical algorithm used in mortality forecasting and life expectancy forecasting. The input to the model is a matrix of age specific mortality rates ordered monotonically by time, usually with ages in columns and years in rows. The output is a forecasted matrix of mortality rates in the same format as the input. The model uses singular value decomposition (SVD) to find: * A univariate time series vector \mathbf_t that captures 80–90% of the mortality trend (here the subscript t refers to time), * A vector \mathbf_x that describes the relative mortality at each age (here the subscript x refers to age), and * A scaling constant (referred to here as s_1 but unnamed in the literature). \mathbf_t is usually linear, implying that gains to life expectancy are fairly constant year after year in most populations. Prior to computing SVD, age specific mortality rates are first transformed into \mathbf_, by taking their logarithms, and then centering them b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mortality Forecasting
Mortality may refer to: * Fish mortality, a parameter used in fisheries population dynamics to account for the loss of fish in a fish stock through death * ''Mortality'' (book), a 2012 collection of essays by Anglo-American writer Christopher Hitchens * Mortality (computability theory), a property of a Turing machine if it halts when run on any starting configuration * Mortality rate, a measure for the rate at which deaths occur in a given population * Mortality/differential attrition, an error in the internal validity of a scientific study See also * Case fatality rate, the proportion of deaths within a designated population of people with a medical condition * Cause of death * Fulminant * Mortality displacement, a (forward) temporal shift in the rate of mortality * Mortality salience Mortality salience is the awareness that one's death is inevitable and that all attempts to defer it indefinitely are ultimately futile. The term derives from terror management theory, which pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dimension Reduction
Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension. Working in high-dimensional spaces can be undesirable for many reasons; raw data are often sparse as a consequence of the curse of dimensionality, and analyzing the data is usually computationally intractable. Dimensionality reduction is common in fields that deal with large numbers of observations and/or large numbers of variables, such as signal processing, speech recognition, neuroinformatics, and bioinformatics. Methods are commonly divided into linear and nonlinear approaches. Linear approaches can be further divided into feature selection and feature extraction. Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Actuarial Science
Actuarial science is the discipline that applies mathematics, mathematical and statistics, statistical methods to Risk assessment, assess risk in insurance, pension, finance, investment and other industries and professions. Actuary, Actuaries are professionals trained in this discipline. In many countries, actuaries must demonstrate their competence by passing a series of rigorous professional examinations focused in fields such as probability and predictive analysis. Actuarial science includes a number of interrelated subjects, including mathematics, probability theory, statistics, finance, economics, financial accounting and computer science. Historically, actuarial science used deterministic models in the construction of tables and premiums. The science has gone through revolutionary changes since the 1980s due to the proliferation of high speed computers and the union of stochastic actuarial models with modern financial theory. Many universities have undergraduate and gradu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matlab
MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities. An additional package, Simulink, adds graphical multi-domain simulation and model-based design for dynamic and embedded systems. , MATLAB has more than four million users worldwide. They come from various backgrounds of engineering, science, and economics. , more than 5000 global colleges and universities use MATLAB to support instruction and research. History Origins MATLAB was invented by mathematician and computer programmer Cleve Moler. The idea for MATLAB was base ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stata
Stata (, , alternatively , occasionally stylized as STATA) is a general-purpose Statistics, statistical software package developed by StataCorp for data manipulation, visualization, statistics, and automated reporting. It is used by researchers in many fields, including biomedicine, economics, epidemiology, and sociology. Stata was initially developed by Computing Resource Center in California and the first version was released in 1985. In 1993, the company moved to College Station, Texas and was renamed Stata Corporation, now known as StataCorp. A major release in 2003 included a new graphics system and dialog boxes for all commands. Since then, a new version has been released once every two years. The current version is Stata 19, released in April 2025. Technical overview and terminology User interface From its creation, Stata has always employed an integrated command-line interface. Starting with version 8.0, Stata has included a graphical user interface which uses Menu ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rob J
Rob or ROB may refer to: Places * Rob, Velike Lašče, a settlement in Slovenia * Republic of Belarus People * Rob (given name), a given name or nickname, e.g., for Robert(o), Robin/Robyn * Rob (surname) * ''Rob.'', taxonomic author abbreviation for William Robinson (gardener) (1838–1935), Irish practical gardener and journalist Arts and entertainment * ''Rob'' (TV series), an American comedy show * ''Rob Riley'' (comic strip), a British comic strip named after its titular character * ''Rob the Robot'' (TV series), a TV series named after its titular character * Rob, a character from the Cartoon Network series ''The Amazing World of Gumball'' * ROB 64, a character in the ''Star Fox'' video game series * '' Castlevania: Rondo of Blood'', a 1993 video game nicknamed ''Castlevania: ROB'' * R.O.B., an accessory for the Nintendo Entertainment System Science and technology * Re-order buffer (ROB), used for out-of-order execution in microprocessors * Robertsonian translocati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Census Bureau
The United States Census Bureau, officially the Bureau of the Census, is a principal agency of the U.S. federal statistical system, responsible for producing data about the American people and economy. The U.S. Census Bureau is part of the U.S. Department of Commerce and its director is appointed by the president of the United States. Currently, Ron S. Jarmin is the acting director of the U.S. Census Bureau. The Census Bureau's primary mission is conducting the U.S. census every ten years, which allocates the seats of the U.S. House of Representatives to the states based on their population. The bureau's various censuses and surveys help allocate over $675 billion in federal funds every year and it assists states, local communities, and businesses in making informed decisions. The information provided by the census informs decisions on where to build and maintain schools, hospitals, transportation infrastructure, and police and fire departments. In addition to the decen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Social Security Administration
The United States Social Security Administration (SSA) is an Independent agencies of the United States government, independent agency of the Federal government of the United States, U.S. federal government that administers Social Security (United States), Social Security, a social insurance program consisting of retirement, disability and survivor benefits. The Social Security Administration was established by the Social Security Act of 1935 and is codified in (). It was created in 1935 as the "Social Security Board", then assumed its present name in 1946. Its current leader is Commissioner Frank Bisignano. SSA offers its services to the public through 1,200 field offices, a website, and a national toll-free number. Field offices, which served 43 million individuals in 2019, were reopened on April 7, 2022 after being closed for two years due to the COVID-19 pandemic. SSA is headquartered in Woodlawn, Baltimore County, Maryland, Woodlawn, Maryland, just to the west of Baltimore, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Historical Demography
Historical demography is the quantitative study of human population in the past. It is concerned with population size, with the three basic components of population change (fertility Fertility in colloquial terms refers the ability to have offspring. In demographic contexts, fertility refers to the actual production of offspring, rather than the physical capability to reproduce, which is termed fecundity. The fertility rate ..., mortality rate, mortality, and human migration, migration), and with population characteristics related to those components, such as marriage, socioeconomic status, and the configuration of families. Sources The sources of historical demography vary according to the period and topics of the study. For the recent period — beginning in the early nineteenth century in most European countries, and later in the rest of the world — historical demographers make use of data collected by governments, including censuses and vital statistics (government r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inverse Projection
Inverse or invert may refer to: Science and mathematics * Inverse (logic), a type of conditional sentence which is an immediate inference made from another conditional sentence * Additive inverse, the inverse of a number that, when added to the original number, yields zero * Compositional inverse, a function that "reverses" another function * Inverse element * Inverse function, a function that "reverses" another function **Generalized inverse, a matrix that has some properties of the inverse matrix but not necessarily all of them * Multiplicative inverse (reciprocal), a number which when multiplied by a given number yields the multiplicative identity, 1 ** Inverse matrix of an Invertible matrix Other uses * Invert level, the base interior level of a pipe, trench or tunnel * ''Inverse'' (website), an online magazine * An outdated term for an LGBT person; see Sexual inversion (sexology) See also * Inversion (other) * Inverter (other) * Opposite (disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ronald D
Ronald is a masculine given name derived from the Old Norse ''Rögnvaldr'', Hanks; Hardcastle; Hodges (2006) p. 234; Hanks; Hodges (2003) § Ronald. or possibly from Old English '' Regenweald''. In some cases ''Ronald'' is an Anglicised form of the Gaelic '' Raghnall'', a name likewise derived from ''Rögnvaldr''. The latter name is composed of the Old Norse elements ''regin'' ("advice", "decision") and ''valdr'' ("ruler"). ''Ronald'' was originally used in England and Scotland, where Scandinavian influences were once substantial, although now the name is common throughout the English-speaking world. A short form of ''Ronald'' is ''Ron''. Pet forms of ''Ronald'' include ''Roni'' and '' Ronnie''. ''Ronalda'' and ''Rhonda'' are feminine forms of ''Ronald''. ''Rhona'', a modern name apparently only dating back to the late nineteenth century, may have originated as a feminine form of ''Ronald''. Hanks; Hardcastle; Hodges (2006) pp. 230, 408; Hanks; Hodges (2003) § Rhona. The names ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Page Rank
PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. It is named after both the term "web page" and co-founder Larry Page. PageRank is a way of measuring the importance of website pages. According to Google: Currently, PageRank is not the only algorithm used by Google to order search results, but it is the first algorithm that was used by the company, and it is the best known. As of September 24, 2019, all patents associated with PageRank have expired. Description PageRank is a link analysis algorithm and it assigns a numerical weighting to each element of a hyperlinked set of documents, such as the World Wide Web, with the purpose of "measuring" its relative importance within the set. The algorithm may be applied to any collection of entities with reciprocal quotations and references. The numerical weight that it assigns to any given element ''E'' is referred to as the ''PageRank of E'' and denoted by PR(E). A PageRank results f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
