Abstract:
A new three-parameter lifetime model entitled Transmuted Exponential-Exponential Distribution has been introduced in this research. The new distribution is capable of modeling a skewed dataset. Numerous statistical properties like the reliability function, failure rate, moments, moment generating function, quantile function, odd function, Renyi entropy, and order statistic were derived and presented in explicit form. An approach to the method of maximum likelihood is employed in estimating the distribution parameters. Also, a simulation study is carried out to examine the structure of the different estimates by changing the sample sizes and initial values of the parameters. The results prove empirically by using real-life and simulated datasets that the new model gives sufficient fits in comparison with other competing distribution in modeling skewed datasets.
Page(s):
1-18
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 37, Issue: 1, Year: 2021
Keywords:
maximum likelihood
,
Reliability function
,
Order statistics
,
Exponential distribution