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Reliability analysis incorporating exponentiated inverse Weibull distribution and inverse power law
Quality and Reliability Engineering International, 2021In reliability research, electronic devices are an important part of our lives and modelling their lives is the most difficult and fascinating area. To investigate the failure functioning of electronic equipments, reliability monitoring of systems is ...
T. Sindhu, A. Atangana
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Power-Law Distribution of the World Wide Web
Science, 2000Barabasi and Albert ([1][1]) propose an improved version of the Erdos-Renyi (ER) theory of random networks to account for the scaling properties of a number of systems, including the link structure of the World Wide Web (WWW).
Lada A. Adamic, B. Huberman
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Power Law Distributions in Information Retrieval
ACM Transactions on Information Systems, 2016Several properties of information retrieval (IR) data, such as query frequency or document length, are widely considered to be approximately distributed as a power law. This common assumption aims to focus on specific characteristics of the empirical probability distribution of such data (e.g., its scale-free nature or its long/fat tail).
Casper Petersen +2 more
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Stability and relaxation of power-law distribution
Physical Review A, 1990We study the stability of the steady state in an aggregation system with injection for one dimension and the mean-field cases. We prove that for any initial perturbation the system is stable and eventually recovers the power-law steady state. The form of the relaxation follows either a stretched exponential (${\mathit{e}}^{\mathrm{\ensuremath ...
Hideki Takayasu +2 more
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Discrete Truncated Power‐Law Distributions
Australian & New Zealand Journal of Statistics, 2016SummaryDiscrete power‐law distributions have significant consequences for understanding many phenomena in practice, and have attracted much attention in recent decades. However, in many practical applications, there exists a natural upper bound for the probability tail. In this paper, we develop maximum likelihood estimates for truncated discrete power‐
Zhu, Hong, Xie, Yingchao, Xu, Maochao
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2000
Summing N i.i.d. random variables with pdf P l(x), one obtains a random variable which has in general a different pdf P N(x) given by N convolutions of P1(x) with itself as given by (2.62).
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Summing N i.i.d. random variables with pdf P l(x), one obtains a random variable which has in general a different pdf P N(x) given by N convolutions of P1(x) with itself as given by (2.62).
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2010
The essential points of this chapter are The Pareto law The log-normal distribution The two regimes of income distribution and how it is explained The Zipf’s law of word frequency The behavior of stock prices as a function of time according to Louis Bachelier and Benoit Mandelbrot The definition of econophysics The universal behavior of rank as a ...
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The essential points of this chapter are The Pareto law The log-normal distribution The two regimes of income distribution and how it is explained The Zipf’s law of word frequency The behavior of stock prices as a function of time according to Louis Bachelier and Benoit Mandelbrot The definition of econophysics The universal behavior of rank as a ...
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Power Laws and Skew Distributions
Communications in Computational Physics, 2012Power-law distributions and other skew distributions, observed in various models and real systems, are considered. A model, describing evolving systems with increasing number of elements, is considered to study the distribution over element sizes. Stationary power-law distributions are found.
Reinhard Mahnke +2 more
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Fractal statistical measure and portfolio model optimization under power-law distribution
, 2021Xu Wu, Linlin Zhang, Jia Li, Ruzhen Yan
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Power Law Distributions and the Size Distribution of Strikes
Sociological Methods & Research, 2017Using Canadian data from 1976 to 2014, I study the size distribution of strikes with three alternative measures of strike size: the number of workers on strike, strike duration in calendar days, and the number of person calendar days lost to a strike. I use a maximum likelihood framework that provides a way to estimate distributions, evaluate model fit,
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