Applications of Conformable Fractional Pareto Probability Distribution
Duha Abu Judeh
2022International Journal of Advances in Soft Computing and its Applications12 citationsDOIOpen Access PDF
Abstract
In this paper looks at fractional isotopes conformable to some basic concepts linked to the probability distribution of random variables, which is density, cumulative distribution, survival, and hazard function. Furthermore, it introduces conformable fractional isotopes with the expected values, rth moments, mean, variance, skewness, and kurtosis. As well, it introduces conformable fractional isotopes with measures of entropy such as Shannon, Renyi, and Tsallis and characteristic function. Keywords: Entropy, conformable distribution, Pareto, and probability measures.
Topics & Concepts
Conformable matrixKurtosisSkewnessMathematicsProbability density functionRényi entropyPareto principleCumulative distribution functionProbability distributionHeavy-tailed distributionStatisticsApplied mathematicsEntropy (arrow of time)Statistical physicsPrinciple of maximum entropyPhysicsThermodynamicsQuantum mechanicsStatistical Distribution Estimation and ApplicationsStatistical Mechanics and EntropyFinancial Risk and Volatility Modeling