Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization

In this article, we proposed a new extension of the Topp–Leone family of distributions. Some important properties of the model are developed, such as quantile function, stochastic ordering, model series representation, moments, stress–strength reliability parameter, Renyi entropy, order statistics, and moment of residual life. A particular member called new extended Topp–Leone exponential (NETLE) is discussed. Maximum likelihood estimation (MLE), least-square estimation (LSE), and percentile estimation (PE) are used for the model parameter estimation. Simulation studies were conducted using NETLE to assess the MLE, LSE, and PE performance by examining their bias and mean square error (MSE), and the result was satisfactory. Finally, the applications of the NETLE to two real data sets are provided to illustrate the importance of the NETLG families in practice; the data sets consist of daily new deaths due to COVID-19 in California and New Jersey, USA. The new model outperformed many other existing Topp–Leone’s and exponential related distributions based on the real data illustrations.

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Linear Combination of Order Statistics of Exponentiated Nadarajah–Haghighi Distribution and Their Applications

Singh,

Alam,

Rather

et al. 2023

Lobachevskii J Math

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Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization

Cited by 5 publications

References 13 publications

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

A Study on Moments of Dual Generalized Order Statistics from Exponentiated Generalized Class of Distributions

A New Extension of the Topp–Leone-Family of Models with Applications to Real Data

Linear Combination of Order Statistics of Exponentiated Nadarajah–Haghighi Distribution and Their Applications

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