A New Weibull Class of Distributions: Theory, Characterizations and Applications
By Haitham M. Yousof, M. Majumder, S. M. A. Jahanshahi, M. Masoom Ali, G. Hamedani. Journal of statistical research of Iran, 2018
59 citations recorded by the source corpus.
We propose a new class of continuous models called the Weibull Generalized G family with two extra positive shape parameters, which extends several well-known models. We obtain some of its mathematical properties including ordinary and incomplete moments, generating function, order statistics, probability weighted moments, entropies, residual, and reversed residual life functions. Characterizations based on a ratio of two truncated moments, in terms of hazard function and based on certain functions of the random variable are presented. We estimate the model parameters by the maximum likelihood method. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of two simulation studies. The usefulness of the proposed models is illustrated via three real data sets.
Subfields: Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/914250fa6d9fab0172e67e68b883a7afda1cd651
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Statistics and Probability
Citations in the corpus
- A New Log-Logistic Lifetime Model with Mathematical Properties, Copula, Modified Goodness-of-Fit Test for Validation and Real Data Modeling (2020, methodology): “Based on the family of [15] and using (1), the CDF of the Rayleigh generalized LL (RG-LL) is defined by , , ( )|( , , , ) = 1 − − (1 + ) − 1 (3) the corresponding PDF to (3) is given as”