G families of probability distributions : theory and practices
著者
書誌事項
G families of probability distributions : theory and practices
CRC Press, 2023
- :hbk.
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注記
Includes bibliographical references and index
Other editors: Irfan Ali, Haitham M. Yousof, Mohamed Ibrahim
内容説明・目次
内容説明
- Proposes new univariate continuous and discrete G families of probability distributions.
- Discusses new bivariate continuous and discrete G families of probability distributions.
- Reviews useful mathematical properties such as, ordinary and incomplete moments, moments generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, among others and some bivariate and multivariate extensions of the new and existing models using a simple type copula.
- Assess the performance of the used estimation methods via Monte-Carlo simulation studies.
- Shows the wide importance and the flexibility of the new models against the competitive models.
- Constructs some new regression models based on the new proposed G families and use in statistical prediction.
- Shows the application of many new useful goodness-of-fit tests for right censored validation such as the Nikulin-Rao-Robson goodness-of-fit test, modified Nikulin-Rao-Robson goodness-of-fit test, Bagdonavicius-Nikulin goodness-of-fit test and modified Bagdonavicius-Nikulin goodness-of-fit test to the new families.
目次
A New Compound G Family of Distributions: Properties, Copulas, Characterizations, Real Data Applications with Different Methods of Estimation. A Novel Family of Continuous Distributions: Properties, Characterizations, Statistical Modeling and Different Estimation Methods. On the use of Copulas to Construct Univariate Generalized Families of Continuous Distributions. A Family of Continuous Probability Distributions: Theory, Characterizations, Properties and Different Copulas. New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications. On the Family of Generalized Topp-Leone Arcsin Distributions. The Truncated Modified Lindley Generated Family of Distributions. An extension of the Weibull distribution via Alpha logarithmic G family with Associated Quantile Regression Modeling and Applications. The Topp-Leone-G Power Series Distribution: Its Properties and Applications. Exponentiated Generalized General Class of Inverted Distributions: Estimation and Prediction. A New Class of Discrete Distribution Arising as an Analogue of Gamma-Lomax Distribution: Properties and Applications. New Compounding Lifetime Distributions with Application to Hard Drive Reliability. Comparing the Performance of G-Family Probability Distribution for Modeling Rainfall Data. Record-Based Transmuted Kumaraswamy Generalized Family of Distributions. Finding an Efficient Distribution to Analyze Lifetime Data through Simulation Study. Exponentiated Muth Distribution: Properties and Applications. Exponentiated Discrete Modified Lindley Distribution and its Applications in Healthcare Sector. Length Biased Weighted New Quasi Lindley Distribution: Statistical Properties and Applications. A New Alpha Power Transformed Weibull Distribution: Properties and Applications. An Extension of Topp-Leone Distribution with Increasing, Decreasing and Bathtub Hazard Functions. Goodness of Fit Test in Instrumental Variables Models. Probability Distribution Analysis for Rainfall Scenarios - A Case Study.
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