|
Weibull
Weibull is a Swedish locational surname. The Weibull family share the same roots as the Danish / Norwegian noble family of Falsenbr>They originated from and were named after the village of Weiböl in Widstedts parish, Jutland, but settled in Skåne, Sweden in the 17th century.''Släkten Weibulls Hemsida''"Family Weibull Ancestry" Retrieved on 14 January 2016. The surname Weibull may refer to: *Curt Weibull (1886–1991), Swedish historian *Lauritz Weibull (1873–1960), Swedish historian * Marie Weibull Kornias (born 1954), Swedish politician *Waloddi Weibull (1887–1979), Swedish scientist and mathematician Other uses A number of statistical concepts are named after Waloddi Weibull: * Exponentiated Weibull distribution * Poly-Weibull distribution *Q-Weibull distribution *Weibull distribution *Weibull fading *Weibull modulus The Weibull modulus is a dimensionless parameter of the Weibull distribution which is used to describe variability in measured material strength of brittle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weibull Distribution
In probability theory and statistics, the Weibull distribution is a continuous probability distribution. It is named after Swedish mathematician Waloddi Weibull, who described it in detail in 1951, although it was first identified by Maurice René Fréchet and first applied by to describe a particle size distribution. Definition Standard parameterization The probability density function of a Weibull random variable is : f(x;\lambda,k) = \begin \frac\left(\frac\right)^e^, & x\geq0 ,\\ 0, & x 0 is the ''shape parameter'' and λ > 0 is the ''scale parameter'' of the distribution. Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to a number of other probability distributions; in particular, it interpolates between the exponential distribution (''k'' = 1) and the Rayleigh distribution (''k'' = 2 and \lambda = \sqrt\sigma ). If the quantity ''X'' is a "time-to-failure", the Weibull distribution gives a d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Curt Weibull
Curt Weibull (19 August 1886 – 10 November 1991) was a Swedish historian, educator and author. Biography Curt Hugo Johannes Weibull was born in Lund, Sweden. He was a member of the noted Swedish Weibull family. He was the son of professor Martin Weibull (1835–1902) and brother of historian Lauritz Weibull (1873–1960). He and his brother both attended the University of Lund. The Weibull brothers have been characterized as influential in raising the scientific standards of history research in Sweden and Denmark. Curt Weibull was a professor of history at the University of Gothenburg from 1927–1953 and its rector from 1936 to 1946. In 1928 he and his brother, Lauritz Weibull, initiated the periodical ''Scandia''. Together they are known for having introduced a critical theory of history to Swedish historical research, inspired by German historian Leopold von Ranke (1795–1886). Weibull was an important mentor to noted Swedish historian Erik Lönnroth (1910–2002) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Waloddi Weibull
Ernst Hjalmar Waloddi Weibull (18 June 1887 – 12 October 1979) was a Swedish civil engineer, materials scientist, and applied mathematician. The Weibull distribution is named after him. Education and career Weibull joined the Swedish Coast Guard in 1905 as a midshipman. He moved up the ranks with promotion to sublieutenant in 1907, Captain in 1916 and Major in 1940. While in the coast guard he took courses at the Royal Institute of Technology. In 1924 he graduated and became a full professor. He obtained his doctorate from the University of Uppsala in 1932. He was employed in Swedish and German industry as a consulting engineer. In 1914, while on expeditions to the Mediterranean, the Caribbean and the Pacific Ocean on the research ship ''Albatross'', Weibull wrote his first paper on the propagation of explosive waves. He developed the technique of using explosive charges to determine the type of ocean bottom sediments and their thickness. The same technique is still used today ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exponentiated Weibull Distribution
In statistics, the exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava (1993) as an extension of the Weibull family obtained by adding a second shape parameter. The cumulative distribution function for the exponentiated Weibull distribution is :F(x;k,\lambda; \alpha) = \left 1- e^ \right\alpha \, for ''x'' > 0, and ''F''(''x''; ''k''; λ; ''α'') = 0 for ''x'' 0 is the first ''shape parameter'', α > 0 is the second shape parameter and λ > 0 is the ''scale parameter'' of the distribution. The density is :f(x;k,\lambda; \alpha) = \alpha \frac \left frac\right \left - e^ \right e^ \, There are two important special cases: * ''α'' = 1 gives the Weibull distribution; * ''k'' = 1 gives the exponentiated exponential distribution. Background The family of distributions accommodates unimodal, bathtub shaped* and monotone failure rates. A similar distributio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Q-Weibull Distribution
In statistics, the ''q''-Weibull distribution is a probability distribution that generalizes the Weibull distribution and the Lomax distribution (Pareto Type II). It is one example of a Tsallis distribution. Characterization Probability density function The probability density function of a ''q''-Weibull random variable is: : f(x;q,\lambda,\kappa) = \begin (2-q)\frac\left(\frac\right)^ e_q(-(x/\lambda)^)& x\geq0 ,\\ 0 & x 0 is the ''scale parameter'' of the distribution and :e_q(x) = \begin \exp(x) & \textq=1, \\ pt +(1-q)x & \textq \ne 1 \text 1+(1-q)x >0, \\ pt0^ & \textq \ne 1\text1+(1-q)x \le 0, \\ pt\end is the ''q''-exponential Cumulative distribution function The cumulative distribution function of a ''q''-Weibull random variable is: :\begin1- e_^ & x\geq0\\ 0 & x<0\end where : : Mean The mean of the ''q''-Weibull distribution is : |
Lauritz Weibull
Lauritz Ulrik Absalon Weibull (2 April 1873 – 2 December 1960) was a Swedish professor and historian. Biography He was born in Lund, Sweden, as the son of history professor Martin Weibull and the brother of historian Curt Weibull. He enrolled at the University of Lund in 1892, completed his B.A. 1892, his licentiate degree in 1899 and defended his dissertation and received a docentship the same year. He was appointed director of the Regional Archives of Lund in 1903 and became professor of history at his alma mater in 1919. Lauritz Weibull covered a wide range of topics from the early Middle Ages until the 17th and 18th centuries and before finishing his doctoral dissertation, he had already published studies on literary subjects. His dissertation treated a 17th-century topic, ''De diplomatiska förbindelserna mellan Sverige och Frankrike 1629-1631. Ett bidrag till Gustaf II Adolfs och kardinal Richelieus historia (1899; "The diplomatic relations between Sweden and France 16 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weibull Modulus
The Weibull modulus is a dimensionless parameter of the Weibull distribution which is used to describe variability in measured material strength of brittle materials. For ceramics and other brittle materials, the maximum stress that a sample can be measured to withstand before failure may vary from specimen to specimen, even under identical testing conditions. This is related to the distribution of physical flaws present in the surface or body of the brittle specimen, since brittle failure processes originate at these weak points. When flaws are consistent and evenly distributed, samples will behave more uniformly than when flaws are clustered inconsistently. This must be taken into account when describing the strength of the material, so strength is best represented as a distribution of values rather than as one specific value. The Weibull modulus is a shape parameter for the Weibull distribution model which, in this case, maps the probability of failure of a component at varying ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weibull Fading
Weibull fading, named after Waloddi Weibull, is a simple statistical model of fading used in wireless communications and based on the Weibull distribution In probability theory and statistics, the Weibull distribution is a continuous probability distribution. It is named after Swedish mathematician Waloddi Weibull, who described it in detail in 1951, although it was first identified by Maurice Re .... Empirical studies have shown it to be an effective model in both indoor and outdoor environments. In 2005, a theoretical model for a particular class of Weibull distributions was described by Sagias and Karagiannidis, who also analyzed channel capacity of a wireless channel in the presence of Weibull fading. References * Radio frequency propagation fading {{wireless-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poly-Weibull Distribution
In probability theory and statistics, the poly-Weibull distribution is a continuous probability distribution. The distribution is defined to be that of a random variable defined to be the smallest of a number of statistically independent random variables having non-identical Weibull distribution In probability theory and statistics, the Weibull distribution is a continuous probability distribution. It is named after Swedish mathematician Waloddi Weibull, who described it in detail in 1951, although it was first identified by Maurice Ren ...s. References Preprint Continuous distributions Survival analysis {{Statistics-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marie Weibull Kornias
Marie Weibull Kornias (born 1954) is a Swedish Moderate Party politician. She was a member of the Riksdag from 2006 to 2010. External linksMarie Weibull Korniasat the Riksdag The Riksdag (, ; also sv, riksdagen or ''Sveriges riksdag'' ) is the legislature and the supreme decision-making body of Sweden. Since 1971, the Riksdag has been a unicameral legislature with 349 members (), elected proportionally and se ... website Members of the Riksdag from the Moderate Party Members of the Riksdag 2006–2010 Living people 1954 births Women members of the Riksdag 21st-century Swedish women politicians {{Sweden-Moderate-politician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Falsen (noble Family)
Falsen, also ''de Falsen'', is a Danish and Norwegian noble family. History The family descends from Falle Pedersen (1625–1702), who lived on the farm Østrup on Sealand, Denmark. The Falsen family share the same roots as the famous Scanian family Weibullbr> Falle Pedersen's son Enevold Falsen (1686–1769) was Mayor of Copenhagen. He was in 1758 ennobled under the name ''de Falsen''. His son Christian Magnus de Falsen (1719–1799) became a justitiarius in Akershus, Norway. He was the father of the author and the official Enevold de Falsen (1755–1808). Enevold was the father of the statesman Christian Magnus Falsen (‘Father of the Constitution’), County Governor Carl Valentin Falsen, and Rear Admiral Jørgen Conrad de Falsen. File:Enevold_Falsen.png, Enevold de Falsen File:Christian Magnus Falsen litografi.jpg, Christian Magnus Falsen File:Carl_Valentin_Falsen.jpg, Carl Valentin Falsen File:Jørgen Conrad de Falsen 01.jpg, Jørgen Conrad de Falsen Curiosa Upon No ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swedish Language
Swedish ( ) is a North Germanic language spoken predominantly in Sweden and in parts of Finland. It has at least 10 million native speakers, the fourth most spoken Germanic language and the first among any other of its type in the Nordic countries overall. Swedish, like the other Nordic languages, is a descendant of Old Norse, the common language of the Germanic peoples living in Scandinavia during the Viking Era. It is largely mutually intelligible with Norwegian and Danish, although the degree of mutual intelligibility is largely dependent on the dialect and accent of the speaker. Written Norwegian and Danish are usually more easily understood by Swedish speakers than the spoken languages, due to the differences in tone, accent, and intonation. Standard Swedish, spoken by most Swedes, is the national language that evolved from the Central Swedish dialects in the 19th century and was well established by the beginning of the 20th century. While distinct regional varieties ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
