Quantile Generated Nadarajah–Haghighi Family of Distributions
Tóm tắt
The T-NH{Y} family is developed and study in this paper. Various statistical properties such as the mode, quantile, moments and Shannon entropy were derived. Two special distributions namely, exponential-NH{log-logistic}and Gumbel-NH{logistic} were developed. Plots of the failure rate functions for these distributions for some given parameter values indicated that the hazard rate functions can exhibit different types of non-monotonic failure rates. Two applications using real datasets on failure times revealed that the exponential-NH{log-logistic} distribution provides better fits to the datasets than the other fitted models.
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