Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

2018 ◽  
Vol 34 (6) ◽  
pp. 816-834 ◽  
Author(s):  
Narayanaswamy Balakrishnan ◽  
Phalguni Nanda ◽  
Suchandan Kayal
Keyword(s):  
Parallel Systems ◽  
Generalized Modified Weibull ◽  
Modified Weibull

scholarly journals A New Class of Generalized Modified Weibull Distribution with Applications

2015 ◽  
Vol 44 (3) ◽  
pp. 45-68
Author(s):  
Broderick Oluyede ◽  
Shujiao Huang ◽  
Tiantian Yang
Keyword(s):  
Maximum Likelihood ◽  
Likelihood Estimation ◽  
Model Parameters ◽  
Estimation Technique ◽  
Exponential Distributions ◽  
New Class ◽  
Mathematical Properties ◽  
Special Cases ◽  
Generalized Modified Weibull ◽  
Modified Weibull

A new five parameter gamma-generalized modified Weibull (GGMW) distribution which includes exponential, Rayleigh, modified Weibull, Weibull, gamma-modified Weibull, gamma-modified Rayleigh, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh, and gamma-exponential distributions as special cases is proposed and studied. Some mathematical properties of the new class of distributions including moments, distribution of the order statistics, and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to a real datasets to illustrates the usefulness of the proposed class of models are presented.

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