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Multivariate Pareto Distributions

The Annals of Mathematical Statistics, 1962
It is well known that the family of Pareto distributions with densities \begin{equation*}\begin{align*}f(x; a, p) = pa^p/x^{p+1},\qquad x > a > 0, \\ = (1.1) \\ 0,\qquad x \leqq a, p > 0,\end{align*}\end{equation*} provides reasonably good fits to many empirical distributions, e.g., to distributions of income and of property values.
openaire   +2 more sources

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source

Extreme Value Theory and the Solar Cycle [PDF]

, 2007
We investigate the statistical properties of the extreme events of the solar cycle as measured by the sunspot number. The recent advances in the methodology of the theory of extreme values is applied to the maximal extremes of the time series of sunspots.
A. Asensio Ramos, Bernstein, Bhavsar, Bhavsar, Cameron, Choudhuri, Dikpati, Du, Fisher, Li, Orfila, Pickands, Siscoe, Siscoe, Solanki, Verdes, Willis   +16 more
core   +1 more source

Self‐Assembled Monolayers in p–i–n Perovskite Solar Cells: Molecular Design, Interfacial Engineering, and Machine Learning–Accelerated Material Discovery

Advanced Materials, EarlyView.
This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
wiley   +1 more source

Detecting Outliers in Exponentiated Pareto Distribution [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
In this paper, we use two statistics for detecting outliers in exponentiated Paretodistribution. These statistics are the extension of the statistics for detecting outliers inexponential and gamma distributions.
M. Jabbari Nooghabi
doaj  

A FORM OF MULTIVARIATE PARETO DISTRIBUTION WITH APPLICATIONS TO FINANCIAL RISK MEASUREMENT [PDF]

ASTIN Bulletin: The Journal of the International Actuarial Association, 2016
A new multivariate distribution possessing arbitrarily parametrized and positively dependent univariate Pareto margins is introduced. Unlike the probability law of Asimit et al. (2010), the structure in this paper is absolutely continuous with respect to
Jianxi Su, Edward Furman
semanticscholar   +1 more source

Composite Pareto Distributions for Modelling Household Income Distribution in Malaysia

Sains Malaysiana, 2021
Composite Pareto distributions are flexible as the models allow for data to be described by two distributions: a Pareto distribution for the data above a threshold value and another separate distribution for data below the threshold value. It is noted in
Muhammad Hilmi Abdul Majid, K. Ibrahim
semanticscholar   +1 more source

Ultra‐Improved Interfacial Strength Between Metallic Surface and Polyurethane via Cost‐Effective Anodizing Process

Advanced Materials Interfaces, EarlyView.
SAA significantly enhanced Al/PU bonding, increasing SLSS by up to 920% and fracture energy by 15 100% through optimized micro‐nano porous surfaces. RSM identified the optimal anodizing conditions, while ML confirmed sulfuric acid concentration and roughness as dominant predictors of strength.
Umut Bakhbergen, Sherif Araby, Zhandos Tauanov, Nursultan Turdakyn, Reza Montazami, Fethi Abbassi, Gulnur Kalimuldina   +6 more
wiley   +1 more source

Topp-Leone Exponentiated Pareto Distribution: Properties and Application to Covid-19 Data

Journal of Statistical Theory and Applications (JSTA)
This paper proposes a new Topp-Leone Exponentiated Pareto (TLEtP) distribution. The new distribution family is derived by expanding the Topp Leone-G family of distributions with additional positive shape parameters.
Fabio M. Correa, Braimah J. Odunayo, Ibrahim Sule, Olalekan A. Bello   +3 more
doaj   +1 more source

A Generalization of Exponentiated Pareto-I Distribution with Applications

Journal of Applied Science and Engineering
According to earlier research, transmuting a standard distribution often results in a compound distribution that performs better and is more flexible. In light of this fact, this article proposes two novel generalized versions of the exponentiated Pareto-
Hussein Eledum, S.I. Ansari
doaj   +1 more source