Symmetric Distributions, Moments and Applications

• Other Authors: Tomovski, Zivorad (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; Probability & statistics; probability distributions; skewed and symmetric data; maximum likelihood estimation; hazard rate function; censored samples; RM-WCVaR; tail risk; portfolio optimization; inventory modeling; mathematical analytic solution procedures; economic order quantity (EOQ) model; deteriorating products; imperfect quality; hybrid payment policy; non-instantaneous deterioration; expiration date; trade credit financing; permissible delay in payments; object function (that is total annual cost function); supply chain management; generalized exponential distribution; OGE-G family; Rényi entropy; order statistic; Bernoulli number; generalized Bernoulli polynomial; generalized Euler-Genocchi polynomial; functional equation; convolution; probability distribution; moment-generating function; moments; multi-stress-strength; progressive first failure censoring; balanced loss functions; Lindley's approximation; Markov Chain Monte Carlo; symmetric and asymmetric loss functions; bootstrap confidence intervals; conditional moment; constant elasticity of variance process; Feynman-Kac formula; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

This reprint is focuses on distributions and moments and publish papers on the theory and applications of probability and statistics. Papers include original results of symmetric random walks and their characterization, stochastic processes, stochastic integrals, martingales, probability inequalities, statistics parameter estimation, stochastic differential equations, fractional Brownian motions, continuous time random walk models, anomalous diffusion models, Black-Scholes models, Monte Carlo methods, etc. This Special Issue is focused on concepts and techniques and is oriented toward a broad spectrum of applied mathematics and sciences. Focused review articles reviewed the state of the art and identify upcoming challenges and promising solutions for the scientific community.