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Burr Type XII Distribution
In probability theory, statistics and econometrics, the Burr Type XII distribution or simply the Burr distribution is a continuous probability distribution for a non-negative random variable. It is also known as the Singh–Maddala distribution and is one of a number of different distributions sometimes called the "generalized log-logistic distribution". It is most commonly used to model household income, see for example: Household income in the U.S. and compare to magenta graph at right. The Burr (Type XII) distribution has probability density function: : \begin f(x;c,k) & = ck\frac \\ ptf(x;c,k,\lambda) & = \frac \left( \frac \right)^ \left + \left(\frac\right)^c\right \end and cumulative distribution function: :F(x;c,k) = 1-\left(1+x^c\right)^ :F(x;c,k,\lambda) = 1 - \left + \left(\frac\right)^c \right Related distributions * When ''c'' = 1, the Burr distribution becomes the Pareto Type II (Lomax) distribution. * When ''k'' = 1, the Burr distr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burr Pdf
Burr may refer to: Places *Burr (crater), on the Jovian moon Callisto * Burr, Minnesota, an unincorporated community, United States *Burr, Missouri, an unincorporated community, United States * Burr, Nebraska, a village, United States *Burr, Saskatchewan, a hamlet in Canada * Burr, Texas, an unincorporated community, United States * Burr, West Virginia, an unincorporated community, United States *Burr Point, the easternmost point of mainland Ireland *Cape Burr, headland in South Australia *Mount Burr, South Australia, a town and mountain in South Australia People * Burr (surname) * Burr (given name) Arts and entertainment * ''Burr'' (novel), a book about Aaron Burr by Gore Vidal *Burr Redding, a fictional character in the television series ''Oz'' Other uses *Burr (edge), deformation of metal wherein a raised edge forms on a metal part which has been machined * Burr (cutter), a small cutter used in rotary tools for metalworking *Bur or burr, a spiky seed pod *Burl, burr in Briti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Household Income
Household income is a measure of the combined incomes of all people sharing a particular household or place of residence. It includes every form of income, e.g., salaries and wages, retirement income, near cash government transfers like food stamps, and investment gains. Average household incomes need not map directly to measures of an individual's earnings such as per capita income as numbers of people sharing households and numbers of income earners per household can vary significantly between regions and over time. Average household income can be used as an indicator for the monetary well-being of a country's citizens. Mean or median net household income, after taxes and mandatory contributions, are taken as indicators of standard of living, because they include only disposable income and acknowledge people sharing accommodation benefit from pooling at least some of their living costs. Median income is the amount that divides the income distribution into two equal groups, hal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dagum Distribution
The Dagum distribution (or Mielke Beta-Kappa distribution) is a continuous probability distribution defined over positive real numbers. It is named after Camilo Dagum, who proposed it in a series of papers in the 1970s. The Dagum distribution arose from several variants of a new model on the size distribution of personal income and is mostly associated with the study of income distribution. There is both a three-parameter specification (Type I) and a four-parameter specification (Type II) of the Dagum distribution; a summary of the genesis of this distribution can be found in "A Guide to the Dagum Distributions". A general source on statistical size distributions often cited in work using the Dagum distribution is ''Statistical Size Distributions in Economics and Actuarial Sciences''. Definition The cumulative distribution function of the Dagum distribution (Type I) is given by :F(x;a,b,p)= \left( 1+\left(\frac\right)^ \right)^ \text x > 0 \text a, b, p > 0 . The corresponding ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Irving W
Irving may refer to: People *Irving (name), including a list of people with the name Fictional characters * Irving, the main character's love interest in Cathy (comic strip) * Lloyd Irving, the main protagonist in the ''Tales of Symphonia'' video game Places Canada * Irving Nature Park, a park in Saint John, N.B. United States *Irving, California, former name of Irvington, California * Irving, Illinois * Irving, Iowa *Irving (Duluth), Minnesota *Irving, New York * Irving, Texas * Irving, Wisconsin, a town ** Irving (community), Wisconsin, an unincorporated community *Irving Park, Chicago, Illinois * Irving Township, Montgomery County, Illinois * Irving Township, Michigan * Irving Township, Minnesota * Lake Irving, a lake in Minnesota Companies * Irving Group of Companies, Canadian conglomerate based in Saint John, New Brunswick, controlled by the Irving family, including: ** J. D. Irving, a conglomerate with holdings in forestry, pulp and paper, tissue, newsprint, building ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Champernowne Distribution
In statistics, the Champernowne distribution is a symmetric, continuous probability distribution, describing random variables that take both positive and negative values. It is a generalization of the logistic distribution that was introduced by D. G. Champernowne. Champernowne developed the distribution to describe the logarithm of income. Definition The Champernowne distribution has a probability density function given by : f(y;\alpha, \lambda, y_0 ) = \frac, \qquad -\infty 0. See also * Generalized logistic distribution References {{DEFAULTSORT:Champernowne distribution Continuous distributions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fisk Distribution
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and decreases later, as, for example, mortality rate from cancer following diagnosis or treatment. It has also been used in hydrology to model stream flow and precipitation, in economics as a simple model of the distribution of wealth or income, and in networking to model the transmission times of data considering both the network and the software. The log-logistic distribution is the probability distribution of a random variable whose logarithm has a logistic distribution. It is similar in shape to the log-normal distribution but has heavier tails. Unlike the log-normal, its cumulative distribution function can be written in closed form. Characterization There are several different parameterization ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Distribution
The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto ( ), is a power-law probability distribution that is used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena; the principle originally applied to describing the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The Pareto principle or "80-20 rule" stating that 80% of outcomes are due to 20% of causes was named in honour of Pareto, but the concepts are distinct, and only Pareto distributions with shape value () of log45 ≈ 1.16 precisely reflect it. Empirical observation has shown that this 80-20 distribution fits a wide range of cases, including natural phenomena and human activities. Definitions If ''X'' is a random variable with a Pareto (Type I) distribution, then the probability that ''X'' is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cumulative Distribution Function
In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by an ''upwards continuous'' ''monotonic increasing'' cumulative distribution function F : \mathbb R \rightarrow ,1/math> satisfying \lim_F(x)=0 and \lim_F(x)=1. In the case of a scalar continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables. Definition The cumulative distribution function of a real-valued random variable X is the function given by where the right-hand side represents the probability that the random variable X takes on a value less tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Density Function
In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a ''relative likelihood'' that the value of the random variable would be close to that sample. Probability density is the probability per unit length, in other words, while the ''absolute likelihood'' for a continuous random variable to take on any particular value is 0 (since there is an infinite set of possible values to begin with), the value of the PDF at two different samples can be used to infer, in any particular draw of the random variable, how much more likely it is that the random variable would be close to one sample compared to the other sample. In a more precise sense, the PDF is used to specify the probability of the random variable falling ''within a particular range of values'', as opposed to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magenta
Magenta () is a color that is variously defined as pinkish- purplish-red, reddish-purplish-pink or mauvish-crimson. On color wheels of the RGB (additive) and CMY (subtractive) color models, it is located exactly midway between red and blue. It is one of the four colors of ink used in color printing by an inkjet printer, along with yellow, black, and cyan, to make all other colors. The tone of magenta used in printing is called "printer's magenta". It is also a shade of purple. Magenta took its name from an aniline dye made and patented in 1859 by the French chemist François-Emmanuel Verguin, who originally called it ''fuchsine''. It was renamed to celebrate the Italian-French victory at the Battle of Magenta fought between the French and Austrians on 4 June 1859 near the Italian town of Magenta in Lombardy. A virtually identical color, called roseine, was created in 1860 by two British chemists, Chambers Nicolson and George Maule. The web color magenta is also called fuchsi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Household Income In The United States
Household income is an economic standard that can be applied to one household, or aggregated across a large group such as a county, city, or the whole country. It is commonly used by the United States government and private institutions to describe a household's economic status or to track economic trends in the US. A key measure of household income is the median income, at which half of households have income above that level and half below. The U.S. Census Bureau reports two median household income estimates based on data from two surveys: the Current Population Survey (CPS) and the American Community Survey (ACS). The CPS is the recommended source for national-level estimates, whereas the ACS gives estimates for many geographic levels. According to the Current Population Survey, CPS, the median household income was $63,179 in 2018. According to the ACS, the U.S. median household income in 2018 was $61,937. Estimates for previous years are given in terms of real income, wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Log-logistic Distribution
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and decreases later, as, for example, mortality rate from cancer following diagnosis or treatment. It has also been used in hydrology to model stream flow and precipitation, in economics as a simple model of the distribution of wealth or income, and in networking to model the transmission times of data considering both the network and the software. The log-logistic distribution is the probability distribution of a random variable whose logarithm has a logistic distribution. It is similar in shape to the log-normal distribution but has heavier tails. Unlike the log-normal, its cumulative distribution function can be written in closed form. Characterization There are several different parameterizations of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
