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Symmetrical and Asymmetrical Distributions in Statistics and Data Science

Probability distributions are a fundamental topic of statistics and data science that is highly relevant in both theory and practical applications. There are numerous probability distributions that come in many shapes and with different properties. In order to identify an appropriate distribution fo...

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Format: Online
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2025
Subjects:
one-sided EWMA X charts
variable sampling interval
monte-carlo simulation
run length
zero-state
steady-state
bivariate distribution
copula
correlation
FGM copula
maximum likelihood estimator
meta-analysis
normal distribution
half-logistic class
odd Fréchet class
entropy
simulation
estimation method
SPC
RZ
EWMA chart
TEWMA chart
VSI-TEWMA chart
discretization methods
Bayesian estimation
symmetric and asymmetric loss functions
prior distribution
simulation analysis
Monte Carlo Markov chain
goodness-of-fit measures
spatial autoregressive model (SAR)
weights matrix
model selection
Akaike information criterion (AIC)
maximum likelihood estimation
encouraged arrival
quality control feedback
balking
maintaining
retention
alpha power inverse Weibull distribution
hybrid Type-II censoring
ball bearing
Bayes estimator
maximum product spacing
Fréchet model
symmetric Bayes inference
MCMC techniques
maximum likelihood
reliability analysis
generalized Type-II progressive hybrid censoring
average run length
control chart
multicollinearity
regression estimator
supplementary variable
cause-specific hazard
regression model
additive hazard
modified Weibull distribution
Bayes estimate
MCMC
Gumbel Type II distribution
multi-component stress-strength model
Monte Carlo simulation
Kavya Manoharan Kumaraswamy distribution
progressive hybrid generalized type-II censoring
Bayesian and classical estimators
Metropolis–Hastings algorithm
optimal plan for progressive censoring
n/a
thema EDItEUR::N History and Archaeology::NH History
thema EDItEUR::J Society and Social Sciences::JB Society and culture: general::JBF Social and ethical issues
Online Access:ONIX_20250220_9783725821501_137
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Summary:Probability distributions are a fundamental topic of statistics and data science that is highly relevant in both theory and practical applications. There are numerous probability distributions that come in many shapes and with different properties. In order to identify an appropriate distribution for modeling the statistical properties of a population of interest, one should consider the shape of the distribution as the crucial factor. In particular, the symmetry or asymmetry of the distribution plays a decisive role. This reprint is a collection of articles on a wide range of topics in the field of symmetrical and asymmetrical distributions that are relevant in statistics and data science. The proposed methods and concepts are discussed in detail and illustrated with several real-life data examples.

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